Statistics questions
341 published questions with worked solutions.
- If the range of a set of observations on a variable X is known to be 25 and if Y=40+3X, then what is the range of the set of...
- If V is the variance and M is the mean of first 15 natural numbers, then what is V+M^2 equal to?
- The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What...
- The numbers 4 and 9 have frequencies x and (x-1) respectively. If their arithmetic mean is 6, then what is the value of x?
- A data set of n observations has mean 2M, while another data set of 2n observations has mean M. What is the mean of the combined...
- What is the standard deviation of the observations - 6 , - 5 , - 4 , -1, 1, 4 , 5 , 6 ?
- The arithmetic mean of 100 observations is 40. Later, it was found that an observation '53' was wrongly read as '83'. What is the...
- Let X and Y represent prices (in ₹) of a commodity in Kolkata and Mumbai respectively. It is given that X =65, Y =67, _X=2 5,...
- The variance of five positive observations is 3 6. If four of the observations are 2, 2, 4, 5 then what is the remaining...
- What is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean)?
- The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted...
- The mean and variance of five observations are 14 and 13 2 respectively. Three of the five observations are 11, 16 and 20. What...
- Let X and Y be two random variables such that X+Y=100. If X follows Binomial distribution with parameters n=100 and p= 4 5 , what...
- If two lines of regression are x+4y+1=0 and 4x+9y+7=0, then what is the value of x when y=-3?
- The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest...
- A bivariate data set contains only two points (-1, 1) and (3, 2). What will be the line of regression of y on x?
- A die is thrown 10 times and obtained the following outputs : 1, 2, 1, 1, 2, 1, 4, 6, 5, 4 What will be the mode of data so...
- For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five...
- Let P, Q, R represent mean, median and mode. If for some distribution 5P=4Q= R 2 , then what is P+Q 2P+0 7R equal to?
- If G is the geometric mean of numbers 1, 2, 2^2, 2^3, , 2^ n-1 , then what is the value of 1+2 _2G?
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