Question

A company's customer service hotline handles many calls relating to orders, refunds, and other issues. The company's records indicate that the median length of calls to the hotline is 4.4 minutes with an IQR of 2.3 minutes. a) If the company were to describe the duration of these calls in seconds instead of minutes, what would the median and IQR be? b) In an effort to speed up the customer service process, the com pany decides to streamline the series of pushbutton menus customers must navigate, cutting the time by 24 seconds. What will the median and IQR of the length of hotline calls become?

Answer 1

a) The median length of calls in seconds would be 264 seconds, and the IQR would be 138 seconds. b) The new median length of calls would be 240 seconds, and the IQR would remain 138 seconds.

Step-by-step explanation:

a) To convert the duration of the calls from minutes to seconds, we need to multiply the original values by 60. Therefore, the median length of calls in seconds would be 4.4 minutes x 60 seconds/minute = 264 seconds. The IQR would be 2.3 minutes x 60 seconds/minute = 138 seconds.

b) If the company reduces the time by 24 seconds, the new median length of calls would be 264 seconds - 24 seconds = 240 seconds. The new IQR would still be 138 seconds.