Question

the marks of 10 students in English test are given below 10 21 22 35 37 13 16 18 24 34 what is the population standard deviation of data​

Answer 1

Explanation:

10

21

22

35

37

13

16

18

24

34

Answer 2

Answer:

The standard deviation is $9$.

Explanation:

Given that :

Marks of $10$ students are: $10, 21 ,22, 35 ,37 ,13 ,16 ,18 ,24 ,34$

First, lets find the sum of the given marks :

$10 +21+ 22+ 35+ 37 +13+ 16+ 18 +24+ 34=230$

Now, divide the sum by the number of terms :

$\frac{230}{10} =23$

Now, find the difference between each term and the mean :

$23-10=13\\23-21=2\\23-22=1\\35-23=12\\37-23=14\\23-13=10\\23-16=7\\23-18=5\\24-23=1\\34-23=11$

Find the square of these numbers :

$13^2+2^2+1^2+12^2+14^2+10^2+7^2+5^2+1^2+11^2=810$

Now, divide it by the number of terms :

$\frac{810}{10}=81$

Find its root :

$\sqrt{81}=9$

Hence, the standard deviation is $9$.

Standard deviation:

• The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
• While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.