Statistics questions
341 published questions with worked solutions.
- The standard deviation of the following distribution C.I. 0-6 6-12 12-18 f_i 2 4 6 is
- Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of random...
- The variance of 20 observations is 5. If each observation is multiplied by 3 and then 8 is added to each number, then variance of...
- The mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by...
- Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3, then new variance of the...
- The variance, for first six prime numbers greater than 5, is
- Variance of first n natural numbers is _____.
- Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3, then new variance of the...
- The sum of 10 values is 12 and the sum of their squares is 16.9 then their standard deviation (S.D.) is
- A player tosses two fair coins, he wins Rs. 5 if two heads appear , Rs. 3 if one head appears and Rs. 2 if no head appears, then...
- If both mean and variance of 50 observations x_1,x_2, ,x_ 50 are equal to 16 and 256 respectively, then mean of (x_1-5)^2,...
- If for some x IR^ * 0 , the frequency distribution of the marks obtained by 20 students in a test is Marks : 2, 3, 5, 7...
- If three fair coins, then variance of number of heads obtained, is
- In an experiment with 15 observations for x the following results were available x^ 2 =2830, x=170 One observation 20 was found...
- The variance and mean of 15 observations are respectively 6 and 10. If each observation is increased by 8 then the new variance...
- A discrete random variable X can take all possible integer values from 1 to k, each with a probability 1 k , then its variance is
- For 20 observations of variable x, if (x_i - 2) = 20 and (x_i - 2)^2 = 100, then the standard deviation of variable x is
- If the variance of the numbers -1, 0, 1, k is 5, where k > 0, then k is equal to
- Variance of first 2n natural numbers is
- The raw data x_1, x_2, , x_n is an A.P. with common difference d and first term a. x and ^2 are mean and variance of x_i, i = 1,...
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