Statistics questions
341 published questions with worked solutions.
- The mean of 100 observations is 50 and their standard deviation is 5. The sum of squares of all observations is
- The following information relates to a sample of size 60: x^2 = 18000, x = 960. The variance is
- The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two...
- Let a, b, c, d and e be the observations with mean m and standard deviation S. The standard deviation of the observations a+k,...
- If SD of X is , then SD of the variable = aX+b c , where a, b and c are constants, is
- If the SD of a set of observations is 8 and if each observation is divided by -2, then SD of the new set of observations will be
- If the variance of x_1, x_2, x_3, , x_n is m, then variance of 2x_1, 2x_2, 2x_3, , 2x_n is
- If the SD of a set of observations is 4 and if each observation is increased by 2, then SD of the new set of observations will be
- If the SD of x is , then SD of the variable b - ax is
- If the SD of x_1, x_2, x_3, , x_n is 4, then SD of 3 2 x_1, 3 2 x_2, 3 2 x_3, , 3 2 x_n is
- Find the range for the following data 116, 124, 164, 150, 149, 114, 195, 128, 138, 203, 144 is
- The range of the following data, is | Age (in yr) | 14 | 16 | 18 | 20 | 24 | |---|---|---|---|---|---| | Number of Students | 20...
- If x is SD and y is variance of the data a_1, a_2, , a_n, then
- The variance of n observations x_1, x_2, , x_n is given by
- 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 variance for the data 6, 7, 10, 12, 13, 4, 8, 12 respectively are
- Consider the following data 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, then variance of the numbers so obtained...
- The SD of 15 items is 6 and if each item is decreases by 1, then standard deviation will be
- Let x_1, x_2, x_3, x_4 and x_5 be the observations with mean m and standard deviation S. The standard deviation of the...
- The mean and variance of n observations x_1, x_2, x_3, , x_n are 5 and 0, respectively. If _ i=1 ^ n x_i^2 = 400, then the value...
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