wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which one of these statistics is unaffected by outliers?


A

Mean

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Interquartile range

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

Standard deviation

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

Range

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

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.e50%.
  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.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Mean
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon