JEE MATHEMATICS MCQ: STATISTICS

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In a class of 50 students, 10 have failed and their average marks are 28. The total marks obtained by the entire class are 2800. The average marks of those who have passed, are

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Correct option: C

The correct answer is C (63) because it is calculated by subtracting the total marks of failed students from the total marks of all students, then dividing by the number of passed students.

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If the mean of a set of observations

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\bar X,

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{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

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