Question

What is the five number summary for this data set

10 11 12 15 19 24 27 29 33 38

A: 10,12,21.5,29.38
B: 10,12,25.5,29,38
C: 10,15,25.5,27,38
D: 10,15,21.5,27,38

Answer 1

Answer:

A

Step-by-step explanation:

The minimum value = 10 and the maximum value = 38

The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle, that is

10  11  12  15  19  24  27  29  33  38

                         ↑ middle of data

$Q_{2}$ = $\frac{19+24}{2}$ = 21.5

The lower quartile is the middle value of the data to the left of the median

10  11  12  15  19

          ↑

$Q_{1}$ = 12

The upper quartile is the middle value of the data to the right of the median

24  27  29  33  38

             ↑

$Q_{3}$ = 29

Hence the 5 number summary is 10, 12, 21.5, 29, 38 → A

Answer 2

The answer is a.......