Question

What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 11, 11, 3, 1, 11, 11

Answer 1

Mean = 8

Variance = 18.3

Standard deviation = 4.3

Explanation:

Answer 2

Mean = 8

Variance = 22

Standard deviation = 4.6904

Explanation:

To find out Mean the formula is : total sum of data set / number of values

(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8

Mean = 8

Now for variance we will form a table

x 11 11 3 1 11 11

(x - Mean) 3 3 -5 -7 3 3

(x - Mean)² 9 9 25 49 9 9

Now we the formula of variance =
`\frac{\sum (x-\bar{x})^(2)}{n-1}`

Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22

Variance = 22

Now we know Standard deviation = √(variance)

Therefore standard deviation = √22 = 4.6904