In a frequency curve of scores the mode was found to be higher than the mean. This shows that the distribution is

The standard deviation of a distribution is 5. The value of the fourth central moment μ4 in order that the distribution be mesokurtic should be

If each of a set of observations of a variable is multiplied by a constant (non-zero) value, the variance of the resultant variable

The mean of 20 observations is 15. On checking it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean is

When  x_i and y_i are two variables (i=1,2,...,n) with geometric means  G₁ and G₂ respectively then the geometric mean of  x_i/ y_i is

The algebraic sum of the deviations of a set of n values from their arithmetic mean is