Question

The following data values represent a population. What is the variance of the values?

6, 10, 14, 2

A. 20
B. 16
C. 8
D. 10

Answer 1

@pooja195

Answer 2

Can you find the expected value first?

Answer 3

The mean, I mean

Answer 4

how u find mean wit even set

Answer 5

\[
\frac{1}{|A|}\sum_{a\in A}a
\]

Answer 6

o.0 wut is that

Answer 7

In this case: \[
\frac{6+10+14+2}{4}
\]

Answer 8

pls explain

Answer 9

The mean is the sum of all the numbers, divided by how many numbers there are.

Answer 10

sum is add

Answer 11

32/4?

Answer 12

8?

Answer 13

thank u, can u help with more? im still struggling

Answer 14

The mean is 8.

Answer 15

Now for variance, we have to plug each value into (8-x)^2 add them, and then divide by the number of numbers. The 8 is there because it is the mean.

Answer 16

The mean is \(\mu\):\[
\mu =\frac{1}{|X|}\sum_{x\in X}x
\]The variance is \(\sigma^2\):\[
\sigma^2=\frac{1}{|X|}\sum_{x\in X}(x-\mu)^2
\]Where as \(\sigma\) is standard deviation.