EASY
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Two teams A &B have the same mean and their coefficient of variation are 4,2 respectively. If σA . σB are the standard deviation of teams A,B respectively then the relation between them is

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Important Questions on Statistics

HARD
Let n3 . A list of numbers 0<x1<x2<<xn has mean μ and standard deviation σ . A new list of numbers is made as follows: y1=0, y2=x2,.,yn-1=xn-1,yn=x1+xn . The mean and the standard deviation of the new list are μ^ & σ^ . Which of the following is necessarily true?
MEDIUM
The mean and variance of a binomial distribution are 8 and 4 respectively, then P( X=1 ) is equal to
HARD
The sum of 100 observations and the sum of their squares are  400 & 2475, respectively. Later on, three observations 3, 4 & 5 were found to be incorrect. If the incorrect observations are omitted, then the variance of the remaining observations is
HARD
The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3,4 and 4; then the absolute value of the difference of the other two observations, is :
MEDIUM
The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1, 3 and 8, then a ratio of other two observations is
EASY
The mean deviation from the mean of the set of observations, -1, 0, 4 is
MEDIUM
The mean deviation of the data 2,9,9,3,6,9,4 from the mean is
EASY
If i=19xi5=9 and i=19xi52=45, then the standard deviation of the 9 items x1, x2,.,x9 is
EASY
The mean and the standard deviation S.D. of five observations are 9 and 0, respectively. If one of the observation is increased such that the mean of the new set of five observations becomes 10, then their S.D. is
MEDIUM
If the mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively, then the variance of 6 observations x1, x2, , x5 and -50 is equal to
HARD
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is:
MEDIUM
The variance of the first 50 even natural numbers is :
MEDIUM
A data consists of n observations: x1, x2,  , xn. If i=1nxi+12=9n and i=1nxi-12=5n, then the standard deviation of this data is
MEDIUM

Let x¯M and σ2 be respectively the mean, mode and variance of n observations x1, x2,...., xn and di=-xi-a, i=1, 2,...., n, where a is any number.

Statement I: Variance of d1, d2,..., dn is σ 2 .

Statement II: Mean and mode of d1, d2,...., dn are -x¯-a and -M-a, respectively.

HARD
If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true ?
HARD
The mean of 5 observations is 5 and their variance is 12.4. If three of the observations are 1,2 & 6; then the value of the remaining two is :
HARD
The standard deviation of the data 6,5,9,13,12,8,10 is
EASY
A random variable XB(n, p). If values of mean and variance of X are 18 and 12 respectively then total number of possible values of X are
EASY
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?