Question

Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 6, 7, 19, 7, 18, 7

Answer 1

Answer:

The mean is 10.7 and the standard deviation is 5.6.

Step-by-step explanation:

To find the mean, add together all of the data and divide by the number of data points:

(6+7+19+7+18+7)/6 = 64/6 = 10.7

To find the standard deviation, subtract each data point from the mean, square them and find the sum:

(6-10.7)²+(7-10.7)²+(19-10.7)²+(7-10.7)²+(18-10.7)²+(7-10.7)²

=(-4.7)²+(-3.7)²+(8.3)²+(-3.7)²+(7.3)²+(-3.7)²

=22.09+13.69+68.89+13.69+53.29+13.69 = 185.34

Next divide this by 6, the number of data points:

185.34/6 = 30.89

Lastly, take the square root:

√30.89 = 5.6

Answer 2

Let μ be the average value and σ the standard deviation.
 The answer obtained when entering the data supplied in a calculator are: Size of the population:
 n = 6.
 For the average of the population:
 μ = 10.67.
 For the standard deviation of the population:
 σ = 5,558.