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


Based on the table, which of the following is true?

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.

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

Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, the interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.