Statistics questions
341 published questions with worked solutions.
- 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...
- A student scores the following marks in five tests: 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean...
- If the standard deviation of the numbers −1, 0, 1, k is 5 where k > 0, then k is equal to:
- If both the mean and the standard deviation of 50 observations x_1, x_2, , x_ 50 are equal to 16, then the mean of (x_1 - 4)^2,...
- The mean of a set of 30 observations is 75. If each other observation is multiplied by a non-zero number and then each of them is...
- If the mean of the data : 7, 8, 9, 7, 8, 7, λ, 8 is 8, then the variance of this data is -
- The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35...
- If for some x ∈ R, the frequency distribution of the marks obtained by 20 students in a test is: | Marks | 2 | 3 | 5 | 7 |...
- A data consists of n observations: x_1, x_2, , x_n. If _ i=1 ^n(x_i + 1)^2 = 9n and _ i=1 ^n(x_i - 1)^2 = 5n, then the standard...
- 5 students of a class have an average height 150 cm and variance 18 cm^2. A new student, whose height is 156 cm, joined them. The...
- If the data x_1, x_2, , x_ 10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum...
- 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...
- If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is:
- The outcome of each of 30 items was observed; 10 items gave an outcome 12 - d each, 10 items gave outcome 12 each and the...
- If mean and standard deviation of 5 observations x_1, x_2, x_3, x_4, x_5 are 10 and 3, respectively, then the variance of 6...
- If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then x.y is equal to_________.
- Let the observations x_i (1 i 10) satisfy the equations, _ i=1 ^ 10 (x_i-5)=10 and _ i=1 ^ 10 (x_i-5)^2=40. If and are the mean...
- Let x_i (1 i 10) be ten observations of a random variable X. If _ i=1 ^ 10 (x_i-p)=3 and _ i=1 ^ 10 (x_i-p)^2=9 where 0 p R, then...
- Consider 10 observations x_1, x_2, , x_ 10 such that _ i=1 ^ 10 (x_i - ) = 2 and _ i=1 ^ 10 (x_i - )^2 = 40, where α, β are...
- Let the median and the mean deviation about the median of 7 observation 170, 125, 230, 190, 210, a, b be 170 and 205 7...
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