During the past week, an accounting firm made a total of 70 long distance calls

Question

During the past week, an accounting firm made a total of 70 long distance calls to its clients. Twenty-five of the calls were less than or equal to 30 minutes in duration while 46 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-eight minutes and the tenth percentile of the length of calls was 22 minutes. Based on the given information, determine if the following 2 statements are true or false. The range of the data is greater than 91 minutes. The median of the data cannot exceed 40 minutes. Also, What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage. Lastly, Do we know with certainty that no call was under 4 minutes in length? Yes or No?

Explanation / Answer

1)range of the data is greater than 91 minutes ---- true

as longest call =1 hour 58 minutes (118 minutes) - 10th perecenitle(22 minutes) is equal to 96 whcih is greater then 91 minutes

2)median of the data cannot exceed 40 minutes --- true

as median will lei at(n+!)/2 th value or 35.5 th value while 46 calls have value less then 40 minutes therefore medain also should have value less then 40 minutes

3) percentage of the calls were greater than 30 minutes in duration =((70-25)/70)*100=64.29%

4) No ; for that information ia not suffciient.

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