Question

4. Use the following data to find the five-number summary, then use the number line to draw a box and whiskers plot. 3, 5, 22, 15, 7, 12, 14, 10, 24, 1, 9

Answer 1

The five-number summary for the data is : 1, 5, 10, 15, 24 respectively.

Arranging the data in ascending order :

• 1,3,5,7,9,10,12,14,15,22,24

The five number summary for the data is calculated below :

Minimum: 1

First Quartile : 0.25(n + 1)th term

• 0.25(12) = 3rd term = 5

Median : 1/2(n + 1)th term

• 1/2(12) = 6th term = 10

Third Quartile : 0.75(n + 1)th term

• 0.75(12) = 9th term = 15

Maximum = 24