Statistics questions
341 published questions with worked solutions.
- If H is the harmonic mean of numbers 1, 2, 2^2, 2^3, , 2^ n-1 , then what is n/H equal to?
- Let P be the median, Q be the mean and R be the mode of observations x_1, x_2, x_3, x_n. Let S= _ i=1 ^ n (2x_i-a)^2. S takes...
- If X=20 is the mean of 10 observations x_1, x_2, , x_ 10 ; then what is the value of _ i=1 ^ 10 ( 3x_i-4 5 )?
- If the mean and the sum of squares of 10 observations are 40 and 16160 respectively, then what is the standard deviation?
- What is the mean of the numbers 1, 2, 3, , 10 with frequencies ^9C_0, ^9C_1, ^9C_2, , ^9C_9, respectively?
- If r is the coefficient of correlation between x and y, then what is the correlation coefficient between (3x+4) and (-3y+3)?
- If H is the Harmonic Mean of three numbers ^ 10 C_4, ^ 10 C_5, and ^ 10 C_6, then what is the value of 270 H ?
- From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as y=a+bx, then what is the value of...
- An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount...
- Let x-3y+4=0 and 2x-7y+8=0 be two lines of regression computed from some bivariate data. If b_ yx and b_ xy are regression...
- The mean of n observations 1, 4, 9, 16, , n^2 is 130. What is the value of n?
- What is the mean deviation of the first 10 natural numbers?
- Let _ i=1 ^ 9 x_i^2=855. If M is the mean and is the standard deviation of x_1, x_2, , x_9, then what is the value of M^2+ ^2?
- The mean of the series x_1, x_2, , x_n is x . If x_n is replaced by k, then what is the new mean?
- The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation and then divided by 20, then what is the...
- The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the...
- What is the arithmetic mean of 8^2, 9^2, 10^2, , 15^2?
- What is the harmonic mean of the numbers C(10, 3), C(10, 4), C(10, 5), C(10, 6) and C(10, 7)?
- The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard...
- Consider the following statements : I. Mean and variance have the same unit of measurement. II. Mean deviation and standard...
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