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

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

Step-by-step explanation:

Formula for Interquartile Range is

Where

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.

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