Question

find the arithmetic mean of the data 5,8,6,10,1.using this result determine the sum of the deviations. what do you observe ?​

Answer 1

Step-by-step explanation:

mean= (5+8+6+10+1)/5

= 6

sum of deviation

1. subtract the mean every individual number

5-6= -1

8-6=2

6-6=0

10-6=4

1-6= -5

2. square the individual variation

-1^2=1

2^2=4

0^2=0

4^2=16

-5^2=25

3. sum all the square individual variation

1+4+0+16+25= 46

the sum of deviation is 46

The sum of the deviations from the mean is zero. This will always be the case as it is a property of the sample mean, i.e., the sum of the deviations below the mean will always equal the sum of the deviations above the mean.