Question

The owner of the car dealership decides to treat the value 22 as an outlier.which measure of center or spread is affected the most if the owner removes this outlier ?

Answer 1

See explanation

Explanation:

Solution:-

- The effect of an outlier on the mean, median and range is to be investigated.

- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.

- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.

- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.