Question

How to take out the mean of ,13,16,12,14,19,12,12

Answer 1

Answer :

$\large{\star\:\:\boxed{\bf{Mean\:=\:14}}\:\:\star}$

Explanation :

Given :–

• The observations are 13 , 16 , 12 , 14 , 19 , 12 , 12 .
• Total Number of Observations are 7 .

To Find :–

• Mean of the above given Observations .

Formula Applied :–

• $\boxed{\bf{\star\:\:Mean\:(\bar{x})\:=\:\dfrac{Sum\:of\:all\:the\:Observations}{Total\:number\:of\:the\:Observations} \:\:\star}}$

Solution :–

We have 13 , 16 , 12 , 14 , 19 , 12 , 12 as the Observations and 7 as the Total Number of Observations .

Putting these values in our Formula :-

$\rightarrow\sf{\bar{x}\:=\:\dfrac{13\:+\:16\:+\:12\:+\:14\:+\:19\:+\:12\:+\:12}{7}}$

$\rightarrow\sf{\bar{x}\:=\:\dfrac{98}{7}}$

$\rightarrow\sf{\bar{x}\:=\:14}$

∴ The mean of the Observations 13 , 16 , 12 , 14 , 19 , 12 , 12  is  14 .

Additional Information :-

If we are given the mode and median of the Observations then we can use the Formula :-

$\rightarrow\:\sf{Mode\:=\:3(median)\: -\:2(mean)}$

This formula is called the Empirical Formula .

Answer 2

Explanation :

Given :–

The observations are 13 , 16 , 12 , 14 , 19 , 12 , 12 .

Total Number of Observations are 7 .

To Find :–

Mean of the above given Observations .

Formula Applied :–

Solution :–

We have 13 , 16 , 12 , 14 , 19 , 12 , 12 as the Observations and 7 as the Total Number of Observations .

Putting these values in our Formula :-

∴ The mean of the Observations 13 , 16 , 12 , 14 , 19 , 12 , 12  is  14 .

Additional Information :-

If we are given the mode and median of the Observations then we can use the Formula :-

This formula is called the Empirical Formula .