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

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. 0500011 0 800 a. Find the mean, median, and mode. b. She has just hired an additional employee. He lives in a different city and travels 85 miles a day on public transportation. Recompute the mean and median. Describe the effect of this outlier a. The mean is L1 mile(s) (Round to two decimal places as needed ) The median is1 mile(s). The mode is mile(s). b. Recompute the mean and median with the new employee included. Describe the effect of this outlier The mean is mile(s). (Round to two decimal places as needed.) The median is mile(s) What effect does the outlier have on the mean and median? A. The outlier effects the median but not the mean. O B. The outlier does not effect the mean or the median. O C. The outlier effects both the mean and the median. () D. The outlier effects the mean but not the median.

Explanation / Answer

(a)

The data in the ascending order:

0 0 0 0 0 0 0 5 8 11

Number of observations = 10

Mean = (5+8+11)/10 = 24/10 = 2.4

There are even number of observations. So,

Median = mean of 5th and 6th observations = 0

Since, "0" appears most frequently, Mode = 0

(b)

The data in ascending order is: 0 0 0 0 0 0 0 5 8 11 85

Number of observations = 11

Mean = (24+85)/11 = 9.91

Median = 6th observation = 0

The effect of outlier: D. The outlier affects the mean but not the median.

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