Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the mean and the variance of 20 observations x 1 , x 2 ,...x 20 be 15 and 9, respectively. For 
, if the mean of (x i + 
) 2 , (x 2 + 
) 2 ,..., (x 2o + 
) 2 is 178, then the square of the maximum value of a is equal to______.
Text Solution
Verified by ExpertsThe correct answer is:
4
(4)
= 15x20 = 300 ...(i)
…(ii)
= 234x20 = 4680
Square of maximum value of 
is 4
──────────────────────────────────────────────────────────────────────────────────────────
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
The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation o…
The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one…
The mean and variance of the data4, 5, 6, 6, 7, 8, x, y where x < y are 6, and respectively. Then …
Let the mean and the variance of 5 observations x 1 , x 2 , x 3 , x 4 , x 5 be and respectively. …
The number of values of a N such that the variance of 3, 7, 12 a, 43 - a is a natural number is:
If the mean deviation about the mean of the numbers 1, 2, 3,....., n, where n is odd, is , then n …