Statistics questions
341 published questions with worked solutions.
- The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observation is
- For the following probability distribution, the standard deviation of the random variable X is X : 2, 3, 4 p (X=x) : 0.2, 0.5, 0.3
- The Variance of the following probability distribution of X is X: 0, 1, 2, 3 P(X): q^3, 3q^2p, 3qp^2, p^3 where 0<p<1, q=1-p
- A player tosses two coins. He wins Rs. 10, if 2 heads appears, Rs. 5, if one head appear and Rs. 2 if no head appears. Then...
- If the mean of 4, 7, 2, 8, 6 and a is 7 , then the mean deviation from the median of these observations is
- The median of 100 observations grouped in classes of equal width is 25 . If the median class interval is 20-30 and the number of...
- Statement 1: The variance of first n odd natural numbers is n^2 - 1 3 Statement 2: The sum of first n odd natural number is n^2...
- Let x_1, x_2, , x_n be n observations, and let x be their arithematic mean and ^2 be their variance. Statement 1: Variance of...
- The mean of a data set consisting of 20 observations is 40 . If one observation 53 was wrongly recorded as 33 , then the correct...
- Mean of 5 observations is 7 . If four of these observations are 6, 7, 8, 10 and one is missing then the variance of all the five...
- If the median and the range of four numbers x, y, 2x + y, x − y , where 0 < y < x < 2y, are 10 and 28 respectively, then the mean...
- In a set of 2n observations, half of them are equal to ' a ' and the remaining half are equal to ' −a '. If the standard...
- In a set of 2n distinct observations, each of the observation below the median of all the observations is increased by 5 and each...
- Let X and M.D. be the mean and the mean deviation about X of n observations x_i, i = 1, 2, …, n. If each of the observations is...
- Let x, M and ^2 be respectively the mean, mode and variance of n observations x_1, x_2, , x_n and d_i = -x_i - a, i = 1, 2, …, n,...
- Consider a data consisting of 10 observations x_1,x_2, ,x_ 10 , whose mean is 5 and variance is 7. If the mean and the variance...
- If the harmonic mean between P and Q be H then H ( 1P+ 1Q ) is equal to
- The mean of a data set comprising of 16 observations is 16. If one of the observation value 16 is deleted and three new...
- If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?
- If the mean deviation of the numbers 1, 1+d, , 1+100d from their mean is 255, then a value of d is :
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