Statistics Test...

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

Mean deviation for n observations \(x_1 , x_2 , ..., x_n\) from their mean \(\bar x\) is given by

When tested, the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623

The mean deviations (in hours) from their mean is

Following are the marks obtained by 9 students in a mathematics test: 50, 69, 20, 33, 53, 39, 40, 65, 59

The mean deviation from the median is:

The standard deviation of the data 6, 5, 9, 13, 12, 8, 10 is

Let \(x_1 , x_2 , ..., x_n\) be n observations and \(\bar x\) be their arithmetic mean. The formula for the standard deviation is given by

The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the observations is

Let \(x_1 , x_2 , ... x_n\) be n observations. Let \(w_i = lx_i\) + k for i = 1, 2, ...n, where \(\ l\) and k are constants. If the mean of \(x_i\)’s is 48 and their standard deviation is 12, the mean of \(w_i\) ’s is 55 and standard deviation of \(w_i\) ’s is 15, the values of l and k should be

Let a, b, c, d, e be the observations with mean m and standard deviation s. The standard deviation of the observations a + K, b + K, c + K, d + K, e + K is

Let \(x_1 , x_2 , x_3 , x_4 , x_5\) be the observations with mean m and standard deviation s. The standard deviation of the observations \(kx_1 , kx_2 , kx_3 , kx_4 , kx_5\) is

Standard deviations for first 10 natural numbers is

The following information relates to a sample of size 60: \(\sum x^2\) = 18000 and \(\sum x\) = 960, then the variance is

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is

Consider the first 10 positive integers. If we multiply each number by –1 and then add 1 to each number, the variance of the numbers so obtained is

Coefficient of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is