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stepladder [879]
3 years ago
7

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

bers 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
Mathematics
2 answers:
viktelen [127]3 years ago
6 0
The answer is first one. The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.
ikadub [295]3 years ago
5 0

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)=6th number)
  • Q_1 is the first quartile (since there are 8 numbers, Q_1=(0.25)(8)=2nd number)

<u>Arranging both company's data in ascending order:</u>

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

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


<u><em>Third quartile of Company A</em></u> is 6 (6th number)

<em><u>First quartile of Company A</u></em> is 2 (2nd number)

<em><u>IQR for company A</u></em> is = 6 - 2 = 4


<u><em>Third quartile of Company B</em></u> is 4 (6th number)

<em><u>First quartile of Company B</u></em> is 2 (2nd number)

<em><u>IQR for company B</u></em> 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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