The following data represents the daily commute times (in minutes) of 8 employees in a company: 15, 20, 25, 30, 35, 40, 45, 50.Calculate the mean deviation from the mean commute time.*2 pointsThe mean deviation from the mean commute time is 10 minutes.The mean deviation from the mean commute time is 11 minutes.The mean deviation from the mean commute time is 12 minutes.The mean deviation from the mean commute time is 13 minutes.
Question
The following data represents the daily commute times (in minutes) of 8 employees in a company: 15, 20, 25, 30, 35, 40, 45, 50.Calculate the mean deviation from the mean commute time.*2 pointsThe mean deviation from the mean commute time is 10 minutes.The mean deviation from the mean commute time is 11 minutes.The mean deviation from the mean commute time is 12 minutes.The mean deviation from the mean commute time is 13 minutes.
Solution
To calculate the mean deviation from the mean commute time, follow these steps:
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Calculate the mean (average) commute time. Add all the commute times together and divide by the number of commute times.
(15 + 20 + 25 + 30 + 35 + 40 + 45 + 50) / 8 = 32.5 minutes
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Subtract the mean from each commute time to get the deviations.
|15 - 32.5| = 17.5, |20 - 32.5| = 12.5, |25 - 32.5| = 7.5, |30 - 32.5| = 2.5, |35 - 32.5| = 2.5, |40 - 32.5| = 7.5, |45 - 32.5| = 12.5, |50 - 32.5| = 17.5
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Add up all the absolute deviations.
17.5 + 12.5 + 7.5 + 2.5 + 2.5 + 7.5 + 12.5 + 17.5 = 80
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Divide the sum of the absolute deviations by the number of commute times to get the mean deviation.
80 / 8 = 10 minutes
So, the mean deviation from the mean commute time is 10 minutes.
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