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JEE MATHEMATICS MCQ: STATISTICS

1 Medium

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Application +4 | -1

n

observations on a variable

X_i

are

X_i=A+i B

for

i=1,2,3 \ldots . n

where

A, B

are real constants. The mean of these observation is

View answer and explanation

Correct option: A

A+B\left(\frac{n+1}{2}\right)

Option A (

A+B(\frac{n+1}{2})

) is correct because the mean of an arithmetic progression is the average of the first and last terms, which simplifies to the given expression.

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\bar X,

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is The sum of 10 items is 12 and sum of their squares is 18 , then standard deviation will be In a family, there are 8 men, 7 women and 5 children whose mean ages separately are respectively 24,20 and 6 years. The mean age of the family is The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two observations is

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