The next 3 terms of the given geometric sequence are:
... 1, -1/3, 1/9
How to find the next three terms of the geometric sequence?
A geometric sequence is a sequence where to get the next term, we need to multiply the previous term by a constant number.
Such that the general recursive formula is:
Aₙ = k*Aₙ₋₁
By using the two first terms:
81 and -27, we can find the value of k.
-27 = k*81
-27/81 = k
-1/3 = k
Now, to get the next 3 terms we can use the recursive formula:
A₅ = -3*(-1/3) = 1
A₆ = (-1/3)*1 = -1/3
A₇ = (-1/3)*(-1/3) = 1/9
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Is Jennifer or Jacqueline correct?
Answer:
Jennifer
Step-by-step explanation:
The domain of a function is the set of x-values that result in defined and real values for that function.
In this case the requirement was to plot a graph so that the domain is between -4 and 5 inclusive
We can represent this mathematically as -4 ≤ x ≤ 5
If you look at both graphs, Ashton's graph on the left has a minimum
x-value of -4 and a maximum x-value of 5. So his graph is correct
Carlie's graph on the right does have a minimum x-value of -4 but its maximum x-value is between 2 and 3. So this graph is incorrect
Therefore Jennifer's statement is correct
Answer: Jennifer
chord of a circle is 13.2 cm long and circles radius is 9.4 find the angle subtended by the chord at the centre of the circle
Answer:
To find the angle subtended by a chord at the center of a circle, we can use the formula:
θ = 2 * arcsin (c / 2r)
where θ is the angle subtended by the chord, c is the length of the chord, and r is the radius of the circle.
Step 1: Substitute the given values into the formula
θ = 2 * arcsin (13.2 / (2 * 9.4))
Step 2: Simplify the equation
θ = 2 * arcsin (13.2 / 18.8)
Step 3: Use a calculator or a math table to find the value of arcsin
arcsin (13.2 / 18.8) = 0.636 radians
Step 4: Multiply the value obtained by 2
0.636 * 2 = 1.27 radians
Final Answer: The angle subtended by the chord at the centre of the circle is 1.27 radians or 72.8 degrees
Answer:
ForTheTriangleABOtofindthelengthr
Wehave
sin(
2
α
)=
hypotenuse
opposite
=
OA
AB
=
9.4
6.6
=0.70212
whereAB=
2
13.2
=6.6cm
2
α
=sin
−1
(0.70212)
thenweoptain=
α=44.6°×2
=89.2°
a popular restaurant chain will open a new franchise if a study shows that more than 60% of residents in an area would purchase food from the restaurant. an analyst of a particular area randomly selects 500 residents and surveys them about their interest in the restaurant. of the 500 residents, 320 stated they would purchase food from the restaurant. which hypotheses test the proportion of residents who would purchase food from the restaurant in this area?
The proportion of people in the area who would purchase food from the restaurant is greater than 60%.
Hypothesis testing is used to determine if the proportion of people in a particular area that would purchase food from a particular restaurant is greater than 60%. The null hypothesis, denoted by H0, is that the proportion of people who would purchase food from the restaurant is 60%, or p=0.6. The alternative hypothesis, denoted by H1, is that the proportion of people who would purchase food from the restaurant is greater than 60%, or p>0.6.
To conduct the test, we can use a one-sample proportion test, which is a type of statistical test that compares an observed proportion to a hypothesized proportion. To calculate the test statistic, we can use the formula:
Test statistic = (observed proportion - hypothesized proportion) / (standard error of the proportion)
In this case, the observed proportion is 320/500 = 0.64 and the hypothesized proportion is 0.6. Therefore, the test statistic is:
Test statistic = (0.64 - 0.6) / (square root of (0.6 * (1 - 0.6) / 500))
Test statistic = 0.04 / (square root of (0.6 * 0.4 / 500))
Test statistic = 0.04 / 0.0341
Test statistic = 1.17
The test statistic is 1.17, which is greater than the critical value of 1.645. Therefore, we can reject the null hypothesis and conclude that the proportion of people in the area who would purchase food from the restaurant is greater than 60%.
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How much interest will you have in 6 months if you invest $1,000 at 3% compounded monthly
The interest that we will have in 6 months if you invest 1000 dollars at 3% compounded monthly is 15.09 dollars.
How to find compound interest?Let's find the compound interest that will if one invest 1000 dollars in 6 months at 3% rate compounded monthly.
using compound interest formula,
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 1000
r = 3% = 3 / 100 = 0.03
t = 0.5
n = 12
Therefore,
[tex]A = 1000(1+\frac{0.03}{12} )^{12(0.5)}[/tex]
A = 1000(1 + 0.0025)⁶
A = $1,015.09
Therefore,
Interest = 1,015.09 - 1000 = $15.09
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The total amount of garbage y is proportional to the number of days x, as shown in the graph.
Write an equation to represent this relationship
(Help please
The equation that represent this relationship shown in the graph is y = 4.5x having a slope of 4.5
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept.
Let y represent the total amount of cabbage and c represent the number of days
From the graph, Using point (0, 0) and (3, 13.5):
y - 0 = [(13.5 - 0)/(3 - 0)](x - 0)
y = 4.5x
The equation that represent this relationship is y = 4.5x
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There's a 20% increase on a $2.80 candy bar find the new price
Answer:
1300.00%
Step-by-step explanation:
Help me out pleaseeeee
Answer:
There are several ways to look at this
Consider the interior angles of a triangle:
33 + A = 90
52 + B = 90
85 + A + B = 180 interior angles of a triangle must sum to 180
So 180 - 85 = 95 which completes the triangle and would be EKD
Or 33 counterclockwise + X clockwise + 52 counter clockwise = 0
X must be 85 and is exterior to EKD and again
EKD = 180 - 85 = 95
If you consider the geometry and the corresponding angles you should be able to get a satisfactory answer
One can draw the line ED and consider the angles involved
A helium tank shaped like a cylinder has 1,296π in3 of space inside the tank. If the diameter of the helium tank is 12 inches, what is its height?
6 inches
9 inches
24 inches
36 inches
The height of the helium tank is; Option D: 36 inches
How to find the volume of a cylinder?The formula for the volume of a cylinder is;
V = πr²h
Where;
V is volume
r is radius
h is height
We are given;
Radius(r) = diameter/2 = 12/2
r = 6 inches
Volume; V = 1296π in³
1296π = π * 6² * h
h = 1296/36
h = 36 inches
We conclude that is the height if the helium tank
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Answer:
its height is 36 inches
Step-by-step explanation:
15 oranges weigh 3. 75 kilograms (kg). If each orange weighs approximately the same, approximately how much does each orange weigh?
The manager of a sport store wants a 25% markup on the selling price of nike baseball gloves in order to have a markup of $50. how much can the manager afford to pay for each baseball glove?
$116.67
$66.67
$150
$200
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of amount $50 and a 25% markup on the selling price.
$50 / 0.25 = $200
To calculate the cost of the Nike baseball gloves with a markup of 25% and a margin of $50, use the following formula:
Cost = (Price + Markup) / (1 + Markup Percentage)
Cost = ($50 + $50) / (1 + 0.25)
Cost = $100 / 1.25
Cost = $80
Therefore, the manager can afford to pay amount $80 for each baseball glove.
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of $50 and a 25% markup on the selling price.
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How do we use the CONVERSE of the Pythagorean Thm. to determine if a triangle is acute, obtuse, or right
The angles in a triangle are less than 90 degrees, the triangle is acute, greater than 90 degrees, the triangle is obtuse, and exactly 90 degrees, the triangle is a right triangle.
What is the converse of the Pythagorean theorem?
The converse of the Pythagorean theorem states that if the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
To determine if a triangle is acute, obtuse, or right, we can use the following:
If all the angles in a triangle are less than 90 degrees, the triangle is acute.
If one angle in a triangle is greater than 90 degrees, the triangle is obtuse.
If one angle in a triangle is exactly 90 degrees, the triangle is a right triangle, using the converse of the Pythagorean theorem, c² = a² + b².
Hence, the angles in a triangle are less than 90 degrees, the triangle is acute, greater than 90 degrees, the triangle is obtuse, and exactly 90 degrees, the triangle is a right triangle.
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Find TU.
5
T
U
S
24°
Write your answer as an integer or as a decimal rounded to the nearest tenth.
TU =
The value of TU is 11 units rounded to the nearest tenth.
In triangle STU, SU=5units and angle T is 24 degrees.
To find TU use the ratio of tan to get:
tan24= SU/TU
TU = SU/tan24
TU= 5/0.445228
TU = 11.2302 ≈ 11.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers. In this essay, we will learn more about integers, their definition, and their characteristics.
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14. A father is twice as old as his son now. Ten years ago, the ratio of their ages was 5:2. Find their present ages.
Answer:
We can set up two equations to represent the information given in the problem:
F = 2S (where F is the father's present age and S is the son's present age)
(F - 10) / (S - 10) = 5/2
We can substitute equation 1 into equation 2:
(2S - 10) / (S - 10) = 5/2
We can cross-multiply and simplify to solve for S:
2S - 10 = 5S - 25
3S = 35
S = 35/3
S = 11.67
So the son is currently 11.67 years old. To find the father's age, we can use equation 1:
F = 2S
F = 2 * 11.67
F = 23.33
So the father is currently 23.33 years old.
a) Work out 38% of 124
b) Work out 138% of 124
Give each of your answers as a decimal.
38% of 124 is 47.12% and 138% of 124 is 171.12%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, we need to find 38% and 138% of 124,
a) Percentage = 38 / 100 × 124
= 38 × 124 / 100
= 4712 / 100
= 47.12%
b) Percentage = 138 / 100 × 124
= 138 × 124 / 100
= 17112 / 100
= 171.12%
Hence, 38% of 124 is 47.12% and 138% of 124 is 171.12%
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16. Pages - 9
Minutes - 18 1 10 14
This leads to the conclusion that x=5 is the answer to the given function problem.
Function: What is it?A link where every x is related to a distinct y variable is called a function. It's noteworthy that when utilizing the similar y and different xs, the inverse is not possible. Except for vertical and horizontal lines, all linear equations can be expressed as functions.
Here,
a function that we've provided
f(x) = 5 - 25x / x
First, the x common factor in the numerator and denominator will be removed, and the resulting fraction will be zero.
5x -25
The common factor, which is 5, will be removed once more, and we will receive 5.
5(x-5)
In this case, we'll compare the expression to zero.
5(x-5) = 0
We shall discover x's value.
x=5
As a result, x=5 is the answer to the function issue that was presented.
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The complete question is "Find the x value in the given function
f(x) = 5 - 25x / x on the 16 pages - 9 "
A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.
Outcome Frequency
Pink 6
White 3
Blue 7
Orange 4
What statement best compares the theoretical and experimental probability of landing on orange?
The theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.
Answer:
The theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.
Step-by-step explanationThe theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.:
Answer:
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
Step-by-step explanation:
Since the 4 sections are equal, theoretical probability is given by:
p = 1/4
Out of 20 trials, 4 resulted in pink, hence experimental probability is given by:
p = 4/20 = 0.2 = 20%.
Hence,
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
In AMNO, m = 270 cm, ZM-8° and ZN=108°. Find the area of AMNO, to the
nearest square centimeter.
Therefore , the solution of the given problem of triangle comes out to be Area = 2700 cm square .
A triangle is what exactly?An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.
Here,
Given : we have
In ΔMNO, m = 270 cm
=> Area = 1/2 * b *h
=> Area = 1/2 * 270 * 20
=> Area = 2700 cm square
Therefore , the solution of the given problem of angles comes out to be
Area = 2700 cm square .
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Based on a survey of a random sample of 900 adults in the United States, a journalist reports that 60 percent of adults in the United States are in favor of increasing the minimum hourly wage. If the reported percent has a margin of error of 2.7 percentage points, which of the following is closest to the level of confidence
Therefore , as a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.
Define test statistic.The Z-statistic, that exhibits the typical normal null hypothesis is true, has been the statistical test for something like a Z-test. Let's say you do a two-tailed X y with a 0.05 significance level and get a 2.5 Z-statistic (also known as a Z-value) depending on your data. The p-value for this Z-value is 0.0124.
Here,
Given :
the following characteristics
The ratio of the sample size n = 900 p equals 0.6 * 900 = 540 p = 540/900 p = 0.6 E = 2.7% = 0.027.
The answer to the above problem is:
=> 0.027 = z* 0.6(1-0.6)/900
=> 0.027 = z* (0.24/900)
=>0.027 = z* 0.00163
=>0.027/0.0163 = z
=>z = 1.65
As a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.
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in how many ways can a president, vice-president, and treasurer be chosen from a group of freshmen and sophomores so that at least one freshman and at least one sophomore holds at least one of these three positions? one person cannot serve in more than one position.
Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.
There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:
1. Freshman President, Sophomore Vice-President, Sophomore Treasurer
2. Sophomore President, Freshman Vice-President, Sophomore Treasurer
3. Freshman President, Sophomore Vice-President, Freshman Treasurer
4. Sophomore President, Freshman Vice-President, Freshman Treasurer
For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.
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Answer:
288 good ways
Step-by-step explanation:
:)
Manny walked a total of . The reference point used to calculate the total distance that he walked was the same as the ending point. Which describes where Manny most likely walked?from the bottom of a hill to the topon a circular nature trailon a sidewalk from his house to the mallfrom the beginning of a straight track to the end
Manny walked more likely on the circular nature trail.
As a circular path always starts and ends at the same location, we may infer this from the fact that the reference point at the beginning and finish was the same.
Other situations, like going up a slope from the bottom, exclude using the same reference point.
The beginning point and finishing point on a sidewalk or a straight track cannot have the same reference point, in a similar manner.
Therefore we can say that
Manny followed a circular nature route in this manner.The bottom of the hill serves as a reference point as well as the summit, and the beginning point and ending point are the same. Manny is now moving in a circle.Hence, Manny walked more likely on the circular nature trail.
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at a party there are only single women and married men with their wives. the probability that a randomly selected woman is single is $\frac{2}{5}$. what fraction of the people in the room are married men?
60% of the people in the room are married men.
We can use the information that the probability of a randomly selected woman being single is 2/5 to find the fraction of people in the room who are married men.
Let's call the fraction of people in the room who are married men x. The fraction of people in the room who are single women is (2/5) and the fraction of people in the room who are married men and their wives is (1-x)
Since there are only single women and married men with their wives at the party, we know that the sum of the fractions of single women and married men and their wives must be 1.
(2/5) + (1-x) = 1
We can solve this equation for x:
x = 1 - (2/5) = 3/5
So the fraction of people in the room who are married men is 3/5 or 0.6
So, 60% of the people in the room are married men.
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You must guess a number between 0 and 100, inclusive. Everyone in our class is also guessing a number between 0 and 100, inclusive. Whoever guesses the number closest to two-thirds of the average guess by our class wins $5.
If everyone picks zero, they all win. Only Nash equilibrium is when everyone guesses zero or an extremely low number.
There is no purely dominant tactic in this game. There is a special pure strategy Nash equilibrium, though. Through the iterative elimination of weakly dominated techniques, this equilibrium can be discovered.
Since it cannot potentially be 2/3rds of the average of any guess, guessing any number that lies above 66.67 is dominated for every player. These might be taken away.
Any estimate above 44.45 is weakly dominated for every player once these techniques are removed for each player since no player would guess above 66.67 and 2/3 of 66.67 is roughly 44.45. This procedure will keep going until all numbers higher than 0 are gone.
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Solve the given differential equation by separation of variables.y ln x * (dx/dy) = [(y+1)/x]^2[(y^2)/2] + 2y + ln|y| =
The solution of the given differential equation is
x ln x - (x/2)(y+1)^2 + (y^3)/3 + 2y^2 + y ln|y| + c = 0
The given differential equation can be written as
ln x * (dx/dy) = [(y+1)/x]^2[(y^2)/2] + 2y + ln|y|
To solve this equation, we will use separation of variables. This means that we need to separate the terms containing 'x' and the terms containing 'y' on different sides of the equation.
We can rearrange the equation as,
ln x * (dx/dy) - [(y+1)/x]^2[(y^2)/2] - 2y - ln|y| = 0
Now, let us separate the terms containing 'x' from terms containing 'y':
ln x * (dx/dy) = [(y+1)/x]^2[(y^2)/2] + 2y + ln|y|
On one side of the equation, we have ln x * (dx/dy) and on the other side, we have [(y+1)/x]^2[(y^2)/2] + 2y + ln|y|.
Now, we can integrate both sides of the equation with respect to 'y':
∫ ln x * (dx/dy) dy = ∫ [(y+1)/x]^2[(y^2)/2] + 2y + ln|y| dy
Integrating both sides of the equation, we get
x ln x - (x/2)(y+1)^2 + (y^3)/3 + 2y^2 + y ln|y| + c = 0
where c is a constant of integration.
Therefore, the solution of the given differential equation is
x ln x - (x/2)(y+1)^2 + (y^3)/3 + 2y^2 + y ln|y| + c = 0
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Change the equation in the row below to fix the marbleslide.
The fixed equation in the given question is y=x-4
What is an equation example?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What are basic equations?A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the connection between two expressions. Equations in this category include a variable, which is often expressed as x or y. Simple equations frequently need to be rearranged in order to be solved.
In the given equation
To fix the equation such that the line coincides with the star
the equation should be
y=x-4
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find the roots of each equation y^2-1/16=0
[tex]y^2 - \cfrac{1}{16}=0\implies y^2=\cfrac{1}{16}\implies y=\pm\sqrt{\cfrac{1}{16}}\implies y=\pm\cfrac{\sqrt{1}}{\sqrt{16}}\implies y=\pm \cfrac{1}{4}[/tex]
Why are there 2 answers in an absolute value equation?
An absolute value equation can have two solutions, one for the positive case and one for the negative case. It's important to check both cases to make sure that we have found all of the solutions to the equation.
An absolute value equation is an equation that contains an absolute value function. The absolute value of a number is defined as the distance of that number from zero on the number line. It is always non-negative.
When solving an absolute value equation, we need to consider two cases: the case where the value inside the absolute value sign is positive, and the case where it is negative.
For example, if we have the equation |x| = 2, we can solve it by first considering the case where x is positive:
x = 2 (because the distance from zero is 2 on the positive side of the number line)
Alternatively, we can consider the case where x is negative:
x = -2 (because the distance from zero is 2 on the negative side of the number line)
So in this example, there are two solutions: x = 2 or x = -2.
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∠P measures 30° more than the measure of its supplement. What is the measure of ∠P in degrees?
Applying the definition o a supplement of an angle, the measure of angle P in degrees is: 105°.
What is the Supplement of an Angle?The supplement of an angle is defined as the angle measure that is added to the angle to give a sum of 180 degrees.
For example, the supplement of angle X is 180 - measure of angle X.
Given the following:
Supplement of angle P = 180 - measure of angle P
Measure of angle P = (180 - measure of angle P) + 30 degrees
Therefore:
(180 - m<P) + [(180 - m<P) + 30] = 180
Open the parentheses:
180 - m<P + 180 - m<P + 30 = 180
Combine like terms:
390 - 2(m<P) = 180
390 - 180 = 2(m<P)
210 = 2(m<P)
210/2 = 2(m<P)/2
105 = m<P
m<P = 105°
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Find the range of each function for the given domain.
18. f(x) = 2x - 7; {(-2, -1, 0, 1,2}
The range of the function is given by set A = { -11 , -9 , -7 , -5 , -3 }
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the range of the function be represented as set A
Now , the function is given by
f ( x ) = 2x - 7 be equation (1)
Let the domain of the function be represented as set B = { -2 , -1 , 0 , 1 , 2 }
Substitute the value for x in the given equation , we get
when x = -2
f ( x ) = 2x - 7
f ( -2 ) = 2 ( -2 ) - 7
f ( -2 ) = -4 - 7 = -11
when x = -1
f ( x ) = 2x - 7
f ( -1 ) = 2 ( -1 ) - 7
f ( -1 ) = -2 - 7 = -9
when x = 0
f ( x ) = 2x - 7
f ( 0 ) = 2 ( 0 ) - 7
f ( 0 ) = 0 - 7 = -7
when x = 1
f ( x ) = 2x - 7
f ( 1 ) = 2 ( 1 ) - 7
f ( 1 ) = 2 - 7 = -5
when x = -2
f ( x ) = 2x - 7
f ( 2 ) = 2 ( 2 ) - 7
f ( 2 ) = 4 - 7 = -3
Therefore , the value of set A is { -11 , -9 , -7 , -5 , -3 }
Hence , the range of the function is { -11 , -9 , -7 , -5 , -3 }
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Determine whether the following statement is true or false. If it is​ false, rewrite it as a true statement.The mean is the measure of central tendency most likely to be affected by an outlier.
The statement that the mean is most likely to be affected by an outlier, is True.
Why is the mean affected by outliers ?The mean (average) of a set of data can be significantly affected by outliers, or data points that are much higher or lower than the majority of the data. Outliers can greatly influence the mean, pulling it away from the center of the data and making it less representative of the majority of the data.
This can cause the mean to become skewed and can give a false representation of the typical values in the data set. This is why it's important to consider the presence of outliers when calculating the mean and to use other measures of central tendency, such as the median or mode, to get a better understanding of the distribution of data in a set.
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Which data set has the same range as the box-and-whisker plot shown?
None of the given data set has the same range as that of the box plot.
What is a box and whisker plot?In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles.
In statistics, a quartile is a type of quantile which divides the number of data points into four parts or quarters, of more-or-less equal size.
The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.
Q1 → first quartile : Splits off the lowest 25% of data from the highest 75%
Q2 → second quartile : cuts data set in half
Q3 → third quartile : splits off the highest 25% of data from the lowest 75%
Given is a box and whisker plot.
We can write the range of the box and whisker plot as -
{r} = Maximum value - Minimum value
{r} = 11 - 4
{r} = 7
R[1] = 32 - 14 = 18
R[2] = 65 - 60 = 5
R[3] = 26 - 16 = 10
R[4] = 15 - 9 = 6
None of the given data set has the same range as that of the box plot.
Therefore, None of the given data set has the same range as that of the box plot.
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