Question

The data shows the speed, in miles per hour, of motorists on a stretch of road.

42, 35, 44, 31, 47, 41, 36, 34, 39, 18, 37, 32, 37, 33, 43, 41, 44, 47, 46

Which is/are true about the data? Select all that apply.

18 miles per hour is an outlier
47 miles per hour is an outlier
the outlier decreases the mean speed
the outlier decreases the median speed
if the outlier were changed to 35 miles per hour, the standard deviation would increase
if the outlier were changed to 35 miles per hour, the interquartile range would increase

Answer 1

i. 18 miles per hour is an outlier

ii. the outlier decreases the mean speed

Explanation:

An outlier in a given data is one of the values that is far greater or lesser compared to others. It affect the mean and standard deviation of a given data significantly.

From the given data, 18 is far too small compared to other values. This is certainly an outlier. This would affect the mean speed by decreasing the value.

An interquartile range is a measure of differences among data by dividing a set of given data into quartile. Increasing the value of the outlier would increase the interquartile range.

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