Question

The employees of two companies were asked how many times they checked their email during weekends. The table below shows the numbers for each company

The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.
The interquartile range for Company A employees is 0.5 more than the interquartile range for Company B employees.
The interquartile range for Company A employees is 1 more than the interquartile range for Company B employees.
The interquartile range for Company A employees is 2.5 more than the interquartile range for Company B employees.


Company A 2 4 8 8 2 6 4 3
Company B 2 6 3 5 2 4 3 2

Answer 1

The answer is first one. The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.

Answer 2

"The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees."

Explanation:

Formula for Interquartile Range is
`IQR=Q_3-Q_1`

Where

• IQR is the interquartile range
• 
  `Q_3` is the third quartile (since there are 8 numbers,
  `Q_3=(0.75)(8)=6`th number)
• 
  `Q_1` is the first quartile (since there are 8 numbers,
  `Q_1=(0.25)(8)=2`nd number)

Arranging both company's data in ascending order:

Company A: 2, 2, 3, 4, 4, 6, 8, 8

Company B: 2, 2, 2, 3, 3, 4, 5, 6

Third quartile of Company A is 6 (6th number)

First quartile of Company A is 2 (2nd number)

IQR for company A is = 6 - 2 = 4

Third quartile of Company B is 4 (6th number)

First quartile of Company B is 2 (2nd number)

IQR for company B is = 4 - 2 = 2

We clearly see that IQR of company A is 2 more than IQR of company B. Hence, first answer choice is right.