During the past week, an accounting firm made a total of 60 long distance calls

Question

During the past week, an accounting firm made a total of 60 long distance calls to its clients. Twenty-four of the calls were 25 minutes or less in duration while 35 of the calls were 40 minutes or less. The longest call was one hour and fifty minutes and the tenth percentile of the length of call was 10 minutes. Step 1: (2 points) The range of the data is greater than 90 minutes. O True O False Step 2: (2 points) The median of the data cannot exceed 40 minutes. O True O False Step 3: (Round your answer to 1 decimal). Step 4: decimal). tep 5: (2 points) Calls of 25 minutes or less in duration correspond to approximately what percentile? (2 points) What percentage of the calls exceed 25 minutes in duration? (Round your answer to 1 (2 points) 4

Explanation / Answer

Step1: Max is 110 minutes

Minimum max value = 25 minutes

So, Range = max-min = 110-25 = 85 is the least value of range

So, it is false)

Step 2: There are 60 data points, so median will be the average of 29th and 30th value

and both are greater than 40 minutes

So, Median >40

So, it is true

Step3: 24/60 = 24% Percentile

Step 4: 76% of data exceed 25

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