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Sleep Median What is the median of the sample values listed in Exercise 1?

Short Answer

Expert verified

The median duration is 7.0 hours.

Step by step solution

01

Given information

The data for sleep hours from Exercise 1 are 8, 7, 5, 7, 4, 7, 6, 7, 8, 8, 8, 6.

02

Steps to determine the median

The following steps give the median for n set of observations:

  • Arrange the observations in ascending order.
  • Find the middle value.
  • If n is even, the median is the average of the two middle values.
  • If n is odd, the median is the middle value.

In this case, n is 12.

Arrange the values in ascending order.

4

5

6

6

7

7

7

7

8

8

8

8

The two middle values are 7 and 7, with average of

M=7+72=7.

Thus, the median duration is 7.0 hours.

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