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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

Verified Answer :

ThatCooGuy101

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

TaeKwonDoIsDead

Answer:

"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 \(IQR=Q_3-Q_1\)

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.

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