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  • 25-01-2022
  • Mathematics
contestada

For the data set, 1, 2, 3, 4, 5, find the variance, and the standard deviation.

Respuesta :

makeabpcomeback
makeabpcomeback makeabpcomeback
  • 25-01-2022

Answer:

The answer is 6.

Step-by-step explanation:

Note that the formula of variance for calculation purpose is

1

n

n

∑

i

=

1

x

2

i

−

(

1

n

n

∑

i

=

1

x

i

)

2

where

n

is the total number of values in the given data set.

In your given data we have

n

=

5

and the values of

x

i

's are

{

1

,

2

,

3

,

4

,

5

}

.

So, your variance

=

1

5

[

1

2

+

2

2

+

3

2

+

4

2

+

5

2

]

−

(

1

5

⋅

[

1

+

2

+

3

+

4

+

5

]

)

2

=

11

−

9

=

6

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