JEE MATHEMATICS MCQ: STATISTICS

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The mean and SD of the marks of 200 candidates were found to be 40 and 15 , respectively. Later, it was discovered that a score of 40 was wrongly read as 50 . The correct mean and

\mathrm{SD}

are respectively

View answer and explanation

Correct option: B

39.95,14.98

Option B (

39.95,14.98

) is correct because the corrected mean is 39.95 and the corrected standard deviation is approximately 14.98.

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If the mean of a set of observations

{x_1},{x_2}, \ldots ,{x_n}

\bar X,

then the mean of the observations

{x_i} + 2\;i;i = 1,\;2, \ldots ,n

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

1,3,5, x, y

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-2,

the s.d. of the new set of observations will be