Question

Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0.87650.4865 0.5326 0.7976A.0.5662B.0.2153C.0.2358D.0.1895

Answer 1

Option C) 0.2358

Explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

`\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}`

where
`x_i` are data points,
`\bar{x}` is the mean and n is the number of observations.

`Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}`

`Mean =\displaystyle(3.39675)/(6) = 0.566125`

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

`S.D = \sqrt{(0.2784182787)/(5)} = 0.2358`

Thus, the standard deviation for given data is

Option C) 0.2358