Statistics questions
341 published questions with worked solutions.
- Let be the mean and be the standard deviation of the distribution x_i: 0,1,2,3,4,5 f_i: k+2,2k,k^2-1,k^2-1,k^2+1,k-3 where f_i =...
- If the mean of the frequency distribution [class 0-10,10-20,20-30,30-40,40-50; freq 2,3,x,5,4] is 28, then its variance is...
- Let the mean of 6 observations 1, 2, 4, 5, x and y be 5 and their variance be 10. Then their mean deviation about the mean is...
- Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of...
- The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively. Later, it was observed that...
- Let the mean of the data x: 1,3,5,7,9 frequency(f): 4,24,28, ,8 be 5. If m and ^2 are respectively the mean deviation about the...
- The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was...
- The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the...
- Let X = 11, 12, 13, ……, 40, 41 and Y = 61, 62, 63, ……, 90, 91 be the two sets of observations. If x and y are their respective...
- Let S be the set of all values of a_1 for which the mean deviation about the mean of 100 consecutive positive integers a_1, a_2,...
- The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted and a and b are respectively...
- Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and (>0), and the mean and standard...
- If the variance of the frequency distribution x_i: 2,3,4,5,6,7,8 ; Frequency f_i: 3,6,16, ,9,5,6 is 3, then is equal to________.
- The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2 , then...
- In an experiment with 15 observations on x, the following results were available: x^2 = 2830, x = 170 One observation that was 20...
- Consider the following statements: Mode can be computed from histogram Median is not independent of change of scale Variance is...
- In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations...
- If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
- Suppose a population A has 100 observations 101, 102, ..., 200, and another population B has 100 observations 151, 152, ..., 250....
- The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a...
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