An internet service provider’s report on the times that its customers stayed con

Question

An internet service provider’s report on the times that its customers stayed connected to the internet during a particular holiday have the following numerical descriptive measures (summary statistics) on connection times:

3th-percentile = 22 minutes
90th-percentile = 58 minutes
Median = 36 minutes
Mean = 42 minutes
Mode = 33 minutes
Range = 24 minutes
Standard Deviation = 9 minutes

The above information indicates that the 3th-percentile and the 90th-percentile are 22 and 58 minutes, respectively. Based on this information during that holiday, what percentage of this provider’s customers stayed connected to the internet between 22 and 58 minutes?

Explanation / Answer

Given:

3rd Percentile = 22 minutes, ie., 3 percentage of the customers stayed connected less than or equal to 22 minutes and 97 percentage of the customers stayed connected more than 22 minutes.

90th Percentile = 58 minutes, ie, 90 percentage of the customers stayed connected less than or equal to 58 minutes and 10 percentage of the customers stayed connected more than 58 minutes.

Hence, percentage of customers stayed connected to the internet between 22 and 58 minutes = 90 - 3 = 87%.

87% of this provider’s customers stayed connected to the internet between 22 and 58 minutes.

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