Question

In the data set, what is the variance? 6 8 1 9 4​

Answer 1

The variance is 8.24

Explanation:

we have

set of data
`[6, 8, 1, 9,4]`

step 1

Find the mean

Adds the values and divide by the number of values

`[6+8+1+9+4]/5=28/5=5.6`

step 2

for each number: subtract the Mean and square the result

`(6-5.6)^(2)=0.16\\ (8-5.6)^(2)= 5.76\\ (1-5.6)^(2)= 21.16\\ (9-5.6)^(2)= 11.56\\ (4-5.6)^(2)= 2.56`

step 3

work out the mean of those squared differences

`[0.16+5.76+21.16+11.56+2.56]/5=41.2/5=8.24` ----> this value is called the "Variance"