Question

Calculate standard deviation for the following data : 36, 15, 25, 10, 14.

Answer 1

n=5

mean=(36+15+25+10+14)/5

=100/5

=20

variance= {(36-20)^2+(15-20)^2+(25-20)^2+(10-20)^2+(14-20)^2}/n-1

{(16)^2+(-5)^2+(5)^2+(-10)^2+(-6)^2}/4

442/4=11.5

standard deviation= √11.5=3.4

Answer 2

Standard deviation,  ≈ 9.4 for data : 36, 15, 25, 10, 14.

Given:

• 36, 15, 25, 10, 14.

To Find:

• standard deviation

Solution:

$\text{Mean}=\dfrac{\text{sum of all the obervations}}{\text{number of the observations}}$

Step 1:

Find Mean :

(36 + 15 + 25 + 10 + 14) /5 =100/5  = 20​

Step 2:

xi    xi -Mean   (xi-Mean)²

36    16              256

15     -5              25

25     5              25  

10     -10            100

14      -6             36

                          442

Step 3:

Calculate SD

SD²  =    ∑(xi-Mean)²  / N

          =  442/5

         = 88.4

  SD = √88.4 ≈ 9.4

Standard deviation,  ≈ 9.4

Learn More:

35) Find the Variance and standard deviation xi 2 4 6 8 10 12 14 16fi ...

brainly.in/question/12357379

if S is the standard deviation of values p q r then the standard ...

brainly.in/question/16894388