Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13)

Question

asked Jun 11, 2018 166k views

2 Answers

Amachado · Answer 1 · 2018-06-18T10:08:22+0000

The standard deviation of the data set is:

2

We are given a set of data points as:

x= 7 9 10 11 13

Now on firstly finding the mean of these data points we have:

$Mean(x')=(7+9+10+11+13)/(5)\\\\\\Mean(x')=(50)/(5)=10$

Now,

x x-x' (x-x')²

7 7-10=-3 9

9 9-10=-1 1

10 10-10=0 0

11 11-10=1 1

13 13-10=3 9

∑(x-x')²=20

Now, mean of ∑(x-x')² gives us the variance of the data.

Variance=∑(x-x')²/5=20/5=4

Now, we know that standard deviation is the square root of variance.

Hence,

Standard deviation=√4=2