Statistics questions
341 published questions with worked solutions.
- If the mean deviation about the mean of the numbers 1, 2, 3, ......., n, where n is odd, is 5(n + 1)/n, then n is equal to _____.
- The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12...
- The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was...
- The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about the mean,...
- The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the...
- The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1, 3, 5, then the sum of cubes of the...
- If the mean and variance of the frequency distribution x: 2,4,6,8,10,12,14,16 f: 4,4, ,15,8, ,4,5 are 9 and 15.08 respectively,...
- Following data gives weights of 10 students (in kgs) in a certain school. The range of the data is 70, 62, 38, 55, 43, 73, 36,...
- The range of the following data (x > 0) x, x+4, x+8, x+1, x+3, x+5 is
- The range of the following data is | Marks | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | Frequency | 4 | 6 | 7 | 1 | 8 |
- Calculate range for the following data | Salary (₹ 00's) | 30 - 50 | 50 - 70 | 70 - 90 | 90 - 110 | 110 - 130 | 130 - 150 |...
- The quantity which leads to a proper measure of dispersion, is
- The variance of first n natural numbers is
- The standard deviation of n observations x_1, x_2, , x_n is given by
- The standard deviation for the following data is | x_i | 3 | 8 | 13 | 18 | 23 | |---|---|---|---|---|---| | f_i | 7 | 10 | 15 |...
- The mean and variance of the following data respectively are | x_i | 92 | 93 | 97 | 98 | 102 | 104 | 109 |...
- Find the variance of the following data | Class interval | 4 - 8 | 8 - 12 | 12 - 16 | 16 - 20 | |---|---|---|---|---| | Frequency...
- The standard deviation of the data 6, 5, 9, 13, 12, 8, 10 is
- Consider the following frequency distribution | Class | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |...
- Consider the following frequency distribution | x | A | 2A | 3A | 4A | 5A | 6A | |---|---|---|---|---|---|---| | f | 2 | 1 | 1 |...
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