Question

Five numbers are given: (5, 10, 15, 5, 15). Now, what would be the sum of deviations of individual data points from their mean?

Answer 1

Answer:

The Answer is 0

Step-by-step explanation:

First step is to find the mean value.

mean=(5+10+15+5+15) / 5

         =10

After that, subtract the mean value from each individual value and add all the individual deviations.

 =(5-10)+(10-10)+(15-10)+(5-10)+(15-10)

 =(-5)+0+5+(-5)+5

 =0

Answer 2

Answer: Sum of deviations of individual data points from their mean =20

Explanation:- Five numbers are given: (5, 10, 15, 5, 15)

First we have to find mean = ∑x/n  

                                             = $\frac{5 + 10 + 15 + 5 + 15}{5}$

                                             =  $\frac{50}{5}$  

                                  Mean = 10

Deviations of individual data points from their mean = |x - mean |

1st number = |5-10|

= |-5|

2nd number = |10-10|

= 0

3rd number = |15-10|

= |5|

4th number = |5-10|

= |-5|

5th number = |15-10|

= |5|

Sum of deviations of individual data points from their mean =

5 + 0 + 5 + 5 + 5

Sum of deviations of individual data points from their mean =20