NIMCET 2025 Mathematics Question 3 with Solution

Question 3

Mathematics Statistics Easy

Which one of the following is NOT a correct statement?

(A) The standard deviation is greater than or equal to the mean deviation (about mean)

(B) The value of standard deviation changes by a change of scale

(C) The sum of squares of deviations is minimum when taken from the mean

(D) The variance is expressed in the same units as the units of observation

View Dynamic Solution & Explanation ▼

Correct Solution: Option D

Step-by-step Solution:

The variance is not expressed in the same units as the observations; rather, it is expressed in the squared units of the observations. Therefore, option (D) is the incorrect statement. \[ \boxed{D} \]