Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is:
Text Solution
Verified by ExpertsThe correct answer is:
C
JEE Main 2020
Let the two remaining observations be
and
.

… (i)
var 
… (ii)
From (i) and (ii)
or 
So, 
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
An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of when conse…
The mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10…
The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it …
For observations given and . If mean and variance of observations is & respectively then orde…
Let and . If mean and variance of elements of are 17 and 216 respectively then is equal to:
For the frequency distribution:
Variate
Frequency
where and , the standard deviation cannot…