Question

Consider the following data: 5, 0, 1, 3, 6, 3, 7, 11.

Find the standard deviation.


d) Find the median if 10.9 is added to each data point.


e) Find the mean if 10.9 is added to each data point.


f) Find the standard deviation if 10.9 is added to each data point.


g) Find the median if each data point is multiplied by 9.4.


h) Find the mean if each data point is multiplied by 9.4.


i) Find standard deviation if each data point is multiplied by 9.4.

Answer 1

Answers are

Standard deviation =3.31662479

d)14.9

e)15.4

f)3.31662479

g)37.6

h)42.3

I)34.2165165

Note:

if we add or multiply a constant from the data points,then the mean and meadian can be obtained by adding or multipling the same constant to the original mean

In the case of standard deviation ,it doesn't change in the case of addition of a constant but changes in multiplication of a constant