Statistics questions
341 published questions with worked solutions.
- If the mean deviation of number 1, 1 + d, 1 + 2d, ...., 1 + 100d from their mean is 255 , then the d is equal to
- Statement-1 : The variance of first n even natural numbers is n^2 - 1 4 Statement-2 : The sum of first n natural numbers is...
- For two data sets, each of size 5 , the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4 ,...
- If the mean deviation about the median of the numbers a, 2a, . . . , 50a is 50 , then |a| equals
- The probability distribution of a random variable X is given by X=x_i : 0, 1, 2, 3, 4 P(X=x_i) : 0.4, 0.3, 0.1, 0.1, 0.1 Then the...
- The mean of 100 observation is 50 and their standard deviation is 5, then the sum of all squares of all the observations is
- For the probability distribution X : -2, -1, 0, 1, 2, 3 p(x) : 0.1, 0.2, 0.2, 0.3, 0.15, 0.05 Then the Var (X) is (Given :...
- The mean of n observation is x . If three observation n + 1, n -1, 2n - 1 are added such that mean remains same, then value of n...
- If P (X = 2) = 0.3, P(X = 3) = 0.4, P(X = 4) = 0.3, then the variance of random variable X 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 square...
- The variance of first 10 multiples of 3 is
- The random variable X assumes values 1, 2, 3, ...... n with equal probabilities. If the ratio of variance of X to expected value...
- For the following frequency distribution X: 5, 6, 7, 8, 10 Frequency: 3, 7, 4, 2, 4 The variance is
- A player tosses 2 fair coins. He wins ₹ 5 if 2 heads appear, ₹ 2 if 1 head appears and ₹ 1 if no heads appear, then the variance...
- If the standard deviation of first n natural numbers is 2, then the value of n is
- Two numbers are selected at random from the first six positive integers. If X denotes the larger of two numbers, then Var (X)=
- In an experiment with 15 observations on x, we have x^2=2830, x=170. One observation that was 20 was found to be wrong and was...
- For given data N=60, X^2=18000 and X=960, then variance of data is
- If p.m.f. of a.r.v. X is P(X=x)= 1 10 , for x=1,2,3 ,10 and =0, otherwise, then var (X) is equal to
- A random variable X assumes values 1, 2, 3, ....., n with equal probabilities, if var(X) = E(X), then n is
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