The speed vehicles travelled on a local road was recorded for one month.The speeds ranged from 52 km/h to 67 km/h with a mean speed of 56 km/h and a standard deviation of 7 km/h.The quartiles and median speeds were 55 km/h,64 km/h,and 53 km/h.Suppose during the month,one driver was clocked at 25 km/h. Which of the summary statistics might not change if that data value was added to the distribution?
A)Q1,Q3
B)Median,range
C)Median,IQR
D)Mean,IQR
E)Range,SD

Question

Quizplus · Accepted Answer

The median and IQR (interquartile range) are measures of central tendency and spread that are less likely to be affected by outliers. Adding one data value of 25 km/h is an outlier in this data set and will not affect the quartiles or the median since they are not based on extreme values. Therefore, the correct answer is C) Median, IQR.

The Speed Vehicles Travelled on a Local Road Was Recorded