Question

s part of the National Health and Nutrition Examination Survey, subjects were asked how long they slept the preceding night, and the following times (hours) were reported: 8, 7, 5, 7, 4, 7, 6, 7, 8, 8, 8, 6 The standard deviation is 1.3 hours. What is the variance?

Answer 1

The variance for given sample is 1.69

Explanation:

We are given the following in the question:

8, 7, 5, 7, 4, 7, 6, 7, 8, 8, 8, 6

This is the data for number of hours of sleep preceeding the exam night.

The sample standard deviation, s = 1.3

The variance is the square of standard deviation.

`\text{Variance} = s^2`

Putting values, we get,

`\text{Variance} = (1.3)^2 = 1.69`

Thus, the variance for given sample is 1.69