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The owner of a company would like to promote the use of public transportation. S

ID: 3274357 • Letter: T

Question

The owner of a company would like to promote the use of public transportation. She decides to investigate how many miles her employees travel on public transportation during a typical day. The values for her ten employees (recorded to the closest mile) are shown below.

0 3 0 0 0 12 0 8 0 0

a.Find the mean, median, and mode.

b.She has just hired an additional employee. He lives in a different city and travels 80 miles a day on public transportation. Recompute the mean and median. Describe the effect of this outlier.

1- the mean is

2- the median, and the mode

Explanation / Answer

Data in ascending order - 0 0 0 0 0 0 0 3 8 12

a. Mean = (0+3+8+12)/10 = 2.3 miles

Median = (5th term + 6th term)/2 = 0

Mode = 0

b. 1 - mean = (23+80)/11 = 9.36 miles

2 - median = 6th term = 0 miles

Mode = 0 miles

The outlier has brought a significant change in the mean, but no change in the median or mode

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