Question

WHICH OF THE FOLLOWING IS STANDARD DEVIATION OF THE SAMPLE SHOWN HERE ?? 17,18,19,20,21

Answer 1

Are there choices?

Answer 2

NO THE PROBLEM

Answer 3

The numbers given are the sample?

Answer 4

YES

Answer 5

The question asks "which of the following". That means there must be a list of choices to choose from. Where are the choices?

Answer 6

even without the options, we can still calculate the sd

Answer 7

OH OK A.19 B.2 C.2.5 D.^2 E.^25

Answer 8

we need to know the mean of the sample; then we can find the squared differences in order to determine the sample deviation from.

Answer 9

Do you know how to calculate the standard deviation of a sample?

Answer 10

no

Answer 11

First, calculate the mean of the sample.
This is just the arithmetic average. Add all numbers and divide by the number of numbers.

Answer 12

yup and then the sample standard deviation is:
\[\large \sqrt{\frac{1}{n-1}\sum_{i=1}^n(x_i-\bar{x})^2} \] where \(\bar{x}\) is the mean you find, and \(n\) is the number of data points in your sample (in your case, \(n=5\))

Answer 13

If the notation is confusing, this is just telling you to find
\[\sqrt{\frac{1}{5-1}[(17-\bar{x})^2+(18-\bar{x})^2+(19-\bar{x})^2+(20-\bar{x})^2+(21-\bar{x})^2}]\]