Question

Find the 5 number summary for the data shown 16 35 39 42 49 51 52 58 72 77 81 83 92 99 5 number summary:

Answer 1

Given 14 data value as follows :

16, 35, 39, 42, 49, 51, 52, 58, 72, 77, 81, 83, 92, 99

Where,

Minimum value = 16

Maximum value = 99

Median is average of the middle two values. That is average of 7th and 8th values. 7th value = 52 and 8th value = 58

Median = (52 + 58) / 2 = 110 / 2 = 55

First quartile is, middle of the lower half of the median, that is 4th value which is 42.

Third quartile is, middle of the upper half of the median, that is 11th value, which is 81.

Therefore, 5 number summary as follows :

Min = 16, Q1 = 42, Median = 55, Q3 = 81, Max = 99