SAT College

Heights of 100 students were measured. The 95% confidence for Their mean heights was (169.61-170.39), and the
standard deviation = 2. Then the mean of this dataset equals?
(What is the principle to solve the question؟)

Answers

Answer 1

The principle is that to find the mean of the dataset, one would have to measure the height of all students and then calculate the mean.

How to calculate the mean?

The mean of the dataset is not provided, but rather a confidence interval for the mean is given. The confidence interval for the mean is calculated using the sample mean, sample standard deviation, and sample size, and it provides a range of values within which we can be certain the true population mean falls with a certain level of confidence (in this case, 95%).

Therefore, the principle is that to find the mean of the dataset, one would have to measure the height of all students and then calculate the mean. With the sample mean, sample standard deviation, and sample size, one can only calculate the confidence interval of the mean.

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