Let be the mean and a be the standard deviation of the distribution Xi012345fik+22kk2-1k2-1k2+1k-3 where = 62. If [x] denotes the greatest integer x, then is equal to

Let be the mean and a be the standard deviation of the dis…

Maths Statistics ( Measures of Central Tendency and Dispersion ) JEE Main 2023 Single Correct MCQ

Published on: August 14, 2026

Let be the mean and a be the standard deviation of the distribution

Xi	0	1	2	3	4	5
fi	k+2	2k	k2-1	k2-1	k2+1	k-3

where = 62. If [x] denotes the greatest integer x, then is equal to

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The correct answer is:

Given,

	0	1	2	3	4	5

Now we know that,

And

Now putting the value of k in above equation we get,

Now finding variance we get,

Now putting the value of k in above equation we get,

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