Statistics Set 2

The mean of the series is If is replaced by then the new mean is

If is the standard deviation of a random variable , then the standard deviation of the random variable , where is

If the mean of a set of observations is 20, then the mean of is

Which one of the following is correct?

The mean deviation from mean of the observation is

If the variance of 1, 2, 3, 4, 5, ..., 10 is  , then the standard derivation of 3, 6, 9, 12, ..., 30 is

Consider first 10 positive integers having standard deviation If we multiply each number by and then add 1 to each number, the standard deviation of the numbers so obtained is

If SD of is , then SD of the variable , where are constants, is

The S.D. of the series is

In a moderately skewed distribution the values of mean and median are 5 and 6 respectively. The value of mode in such a situation is approximately equal to