Question

Find the sample standard deviation of the following data set, using the statistical functions on your calculator. 0.78 0.56 0.42 0.45 0.46 0.47

Answer 1

Answer:

The standard deviation of a sample is 0.1343

Step-by-step explanation:

The mean of the sample is $\bar x = 0.5233$

The standard deviation of a sample is given by:

$S =\frac{1}{n-1} \sum (x_{i}-\bar x)^2 = \frac{1}{6-1}[(0.78 - 0.5233)^2 + (0.56 - 0.5233)^2 + (0.42 - 0.5233)^2 + (0.45 - 0.5233)^2 + (0.46 - 0.5233)^2 + (0.47 - 0.5233)^2] = \frac{1}{5}[0.6715] = 0.1343$