Question

A survey was conducted in which the customer service representatives of two companies were rated on a scale of 1 to 6. The graph below shows customer service ratings of 20 representatives. The interquartile range for each company is 3. The difference between the median rating for each company is approximately how many times the interquartile range?

A. 3
B. 2.5
C. 4
D. 0.3

Answer 1

The difference between the median ratings for two companies, in terms of how many times the interquartile range, can be calculated by dividing the absolute difference between the medians by the interquartile range. option (A)

Step-by-step explanation:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR for each company is 3. The question asks for the difference between the median rating for each company in terms of how many times the IQR. To find this, we need to determine the difference between the medians and divide it by the IQR.

Let's assume that the median rating for the first company is X and the median rating for the second company is Y. The difference between the medians is |X - Y|. The answer would then be approximately |X - Y| / 3, since the IQR is 3 for each company.