Question

Which one of these statistics is unaffected by outliers?

• A. Mean
• B. Interquartile range
• C. Standard deviation
• D. Range

Answer 1

The correct option is B

Interquartile range

Explanation for the correct answer:

Option(B):

1. Interquartile Range is unaffected by outliers or extreme values.
2. Since it considers the data set's intermediate values, i.e$50\%$.
3. Outliers or extreme values impact the mean, standard deviation, and range of other statistics.
4. As a result, these statistical measures are dependent on each data set observation.

Hence, option(B) is the correct answer.

Explanation for the incorrect answer:

Option(A):

1. Mean is the average of all observation so it will effect outliers very much.

Option(C):

1. For the values of a certain set of dispersed data, the standard deviation formula is utilized.

Option(D):

1. It is merely the difference between the highest and lowest values provided in a data set.So outliers will effect range also.

So, options(A),(C), and (D) are incorrect answers.

Therefore, option(B) is the correct answer.