"Consider a sample with data values of 10,..." was answered by our community

reproacht3

Answered question

2021-12-23

Consider a sample with data values of 10, 20, 21, 17, 16, and 12. Compute the mean and median.

soanooooo40

Beginner2021-12-24Added 35 answers

The mean is average value of all the samples, in other words, it is equal to sum of the sample values devided by number of the values included.

\overset{―}{x} = \frac{10 + 20 + 21 + 17 + 16 + 12}{6} = \frac{96}{6} = 16

To compute median, first sort the values:

10, 12, 16, 17, 20, 21

There is even number of values (6), so the median is equal to the average of the two middle values in sorted data:

M e d i a n = \frac{16 + 17}{2} = \frac{33}{2} = 16.5

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