Question

The data shows the number of customers Joe's Diner served during lunchtime hours for the past 12 days. 22, 25, 50, 58, 28, 24, 25, 51, 43, 32, 49, 38 Which box plot best displays these data?

Answer 1

Boxplot A

Explanation:

Given the data:

22, 25, 50, 58, 28, 24, 25, 51, 43, 32, 49, 38

We should obtain the 5 number summary and check which boxplot correctly displays the information :

Reordered data : 22, 24, 25, 25, 28, 32, 38, 43, 49, 50, 51, 58

. Maximum = 58

Minimum = 22

Lower quartile : 1/4(n+1)th term

n = 12

1/4(13)th term = 3.25

(3rd + 4th) = (25 + 25) /2 = 25

Median :

1/2(13)th = 6.5th term

(32 + 38) /2 = 35

Upper quartile :

3/4(13)th term 9.75 term

(49 + 50) / 2

= 49.5