Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The variance of the numbers 2, 3,11 and x is 
, then the values of x are
A
6 or 
B
6 or 
C
6 or 
D
4or 
Text Solution
Verified by ExpertsThe correct answer is:
A
6 or 
From the given data, we make the following table
x | x2 |
2 | 4 |
3 | 9 |
11 | 121 |
x | x2 |
But we know that, variance = 
(given)
3x 2 - 32x + 280 = 196 
3x 2 - 32x + 84 = 0
(x - 6) (3x - 14) = 0 
x = 6, x = 
Therefore, the values of x are 6 or 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If the variance of the following data :
6, 8, 10, 12, 14, 16, 18, 20, 22, 24 is K, then the value o…
Let one observation equal to the mean is added to n observations. If the variance changes from 78 t…
If and , then the standard deviation of observations 3x 1 + 2, 3x 2 + 2, 3x 3 + 2, 3x 4 + 2 and 3…
If the variance of the first n natural numbers is 10 and the variance of the first m even natural n…
A number equal to 2 times the mean and with a frequency equal to k is inserted in a data having n o…
The ratio of the variance of first n positive integral multiples of 4 to the variance of first n po…