Question

She has just hired an additional employee. He lives in a different city and travels 90 miles a day on public transportation. Recompute the mean and median. Describe the effect of this outlier

Answer 1

Answer:

Given Data

Since you did not given values i am taking it as

0

0

4

0

0

0

10

0

6

0

An additional employee just hired , lives in a different city and travel 90 miles a day on public transport . Now the number of observation becomes 11.

0

0

4

0

0

0

10

0

6

0

90

We find the mean by adding all the observations and then dividing this sum by number of observations , which is 11 :

Mean

The median is the midpoint of the observations when they are ordered from the largest to the smallest ( or smallest to the largest ) . To find the median , we arrange the data from the largest to the smallest observation , as shown in table . For the eleven observations , there is only one observation at the midpoint.

0

0

0

0

0

0

0

4

6

10

90

Median

  

  

  

The   value is 0

The mode is the value that occurs most frequently .For the given observations , out of 11 , 0 occurs seven times . Hence ,

mode = 0

After adding one observation which is an outlier , mean changes from 2 to 10 , but median and mode are unaffected . The mean is the balance point . For symmetric data the mean equals the median , an extreme value on the right side pulls the mean toward the right tail. The extreme data values do not affect the value of the median because the median is simply a data point , or an average of the middle 2 data points . It is not calculated if there is an odd number of data , and the extreme are not part of the calculation if there is an even number of data . Mode describes a typical observation in terms of the most common outcome . The mode need not be near the center of the distribution.

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