Question

which one of these statistics is unaffected by outliers?
a,mean
b,interquarile range
c,standard deviation
d,range

Answer 1

GIVEN :

The statistics are mean, interquartile range , standard deviation  and  range.

TO FIND :

The statistics which is unaffected by outliers.

SOLUTION :

Given that statistics are mean, interquartile range , standard deviation  and  range.

Interquartile Range is unaffected by outliers is correct.

FOR:

• Since Interquartile Range consider the middle values in the data set, i.e. 50%, it is not affected by outliers or extreme values.
• While other statistics mean,  standard deviation  and  range are all affected by outliers or extreme values.

∴ option b) Interquartile Range is correct.

∴ the statistics Interquartile Range is unaffected by outliers

Answer 2

Answer:

B, Interquartile Range

Step-by-step explanation:

The interquartile range is not affected by an outlier.