Statistics questions
341 published questions with worked solutions.
- All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the...
- If the mean deviation about the median of the numbers k,2k,3k, ,1000k is 500, then k^2 is equal to :
- Let the mean and variance of 8 numbers -10,-7,-1,x,y,9,2,16 be 7 2 and 293 4 , respectively. Then the mean of 4 numbers x, y,...
- If the mean and the variance of the data Class 4 - 8 8 - 12 12 - 16 16 - 20 Frequency 3 4 7 are and 19 respectively, then the...
- The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation in this data is replaced by ,...
- Let X = x N : 1 x 19 and for some a,b R , Y = ax+b: x X . If the mean and variance of the elements of Y are 30 and 750,...
- The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are 2,3,5,10,11,13,15,21, then...
- The variance of the numbers 8, 21, 34, 47, …, 320, is _____.
- Marks obtains by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the...
- For a statistical data x_1, x_2, ..., x_ 10 of 10 values, a student obtained the mean as 5.5 and _ i=1 ^ 10 x_i^2 = 371. He later...
- Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate...
- Let x_1, x_2,......x_ 10 be ten observations such that _ i=1 ^ 10 (x_i-2)=30, _ i=1 ^ 10 (x_i- )^2=98, > 2 and their variance is...
- If the mean and the variance of 6, 4, a, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then a + b + ab is equal to :
- Let the Mean and Variance of five observations x_1 = 1, x_2 = 3, x_3 = a, x_4 = 7 and x_5 = b, a > b, be 5 and 10 respectively....
- Let the mean and the standard deviation of the observation 2, 3, 3, 4, 5, 7, a, b be 4 and 2 respectively. Then the mean...
- If f(x+y,x-y)=xy, then the arithmetic mean of f(x,y) and f(y,x) is
- The variance of first 50 even natural numbers is:
- If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true ?
- If _ i=1 ^ 9 (x_i - 5) = 9 and _ i=1 ^ 9 (x_i - 5)^2 = 45, then the standard deviation of the 9 items x_1, x_2, , x_9 is :
- The mean and the standard deviation (s.d.) of five observations are 9 and 0, respectively. If one of the observations is changed...
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