Question

Calculate the standard deviation of the data below:
8, 24, 6, 15
Question 1 options:

a) 7.05

b) 7.25

c) 8.04

d) 8.14

Answer 1

Have you calculated the mean?

Answer 2

That is your first step.

Answer 3

Calculate the mean first, then the variance. After getting the variance, take its square root and you get the standard deviation.

Answer 4

\[Mean =\frac{\Sigma x }{ n } \]
\[Variance = \frac{ \Sigma(x-mean) }{ n-1 } \]
\[SD=\sqrt{variance}\]

Answer 5

x is the individual numbers. In statistics they are called observations.

Answer 6

the mean is 53

Answer 7

i dont know how to do that

Answer 8

Mean is sum of the numbers divided by the number of numbers. So 53/4. There are four numbers there.

Answer 9

that is 13.25

Answer 10

Thats the mean!

Answer 11

okay how u find the variance

Answer 12

Use the formula I showed!

Answer 13

subtract the mean from each data point, square the results and take the mean of the squares.

Answer 14

8, 24, 6, 15

8-m, 24-m, 6-m, 15-m

(8-m)^2, (24-m)^2, (6-m)^2, (15-m)^2


(8-m)^2 + (24-m)^2 + (6-m)^2 + (15-m)^2 = K


if the dataset is a population, var = K/4

if its a sample, var = K/(4-1)

and standard deviation is just the sqrt of variance