Question

Given a list of numbers: 10, 15, 21, 26, 32, 39, 43, 46, 52, and 56, find the upper quartile using the definition: upper quartile = the median of the upper half of the data.

46

33

35.5

47.5

33.5

Answer 1

The third quartile ( upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

10   15   21   26   32   39   43   46   52   56   

So, the upper half is

39   43   46   52   56   

The median of these numbers is 46.(middle value of the upper part )

so the upper quartile is 46.

thanks :)