Question

Angela recorded the ages of the people in sales and the people in accounting at her company below.

Sales: 29, 28, 26, 33, 37, 34, 31
Accounting: 35, 38, 36, 33, 39, 43, 41

How does the interquartile range of the ages of the people in sales compare to the interquartile range of the ages of the people in accounting?

A. The interquartile range for sales in 6 years less than the interquartile range for accounting
B. The interquartile range for sales in 7 years greater than the interquartile range for accounting.
C. The interquartile ranges for sales and accounting are both 7 years.
D. The interquartile ranges for sales and accounting are both 6 years

Answer 1

Answer: The correct answer would be D. The interquartile ranges for sales and accounting are both 6 years.

Step-by-step explanation:

Given: Data for sales and accounting

Sales: 29, 28, 26, 33, 37, 34, 31

Accounting: 35, 38, 36, 33, 39, 43, 41

To Find: Compare interquartile ranges for people in sales and accounting.

Solution: for sales data 25th percentile = 25, 50th percentile = 28, 75th percentile = 31. interquartile range = 31 - 25 = 6

for accounting data, 25th percentile = 32, 50th percentile = 35, 75th percentile = 38. interquartile range = 38 - 2 = 6

So the correct answer would be D. The interquartile ranges for sales and accounting are both 6 years.

Answer 2

D

Explanation:

For sales, first, you have to put the ages in order to get: 26, 28, 29, 31, 33, 34, 37

Then, find the first and third quartiles: 28 and 34

Then to find the IQR, subtract the first quartile from the third to get 6

For accounting, put the ages in order: 33, 35, 36, 38, 39, 41, 43

The first and third quartiles are: 35 and 41

Subtract 35 from 41 to get 6

So, the answer is D. The interquartile ranges for sales and accounting are both 6 years.