Question

the mean of all the factors of 20 and X is 7 find the value of x​

Answer 1

Answer:

Factors of 20=1,2,4,5,10,20.

No. of factors =6Mean= No. of factors

Sum of all factorsMean= 6

1+2+4+5+10+20= 642 =7

Answer 2

Given-

• Mean of all the factors and x=7

To find

• value of x

Concept used

• Factors of 20-1,2,4,5,10,20

• $\rm \: mean = \frac{sum \: of \: all \: observation}{number \: of \: observation}$

Solution

• Mean is the average of the given data where we add all numbers which are in given data and divide it by number of numbers that are given

• Factors of 20-1,2,4,5,10,20

Data

1,2,4,5,10,20,x

Mean

$\bf \: mean = \frac{sum \: of \: all \: observation}{number \: of \: observation} \\ \bf \: mean = \frac{1 + 2 + 4 + 5 + 10 + 20 + x}{7} \\ \implies \boxed{ \bf mean = \frac{42 + x}{7}}$

We have given that mean=7

So we put in the equation

$\bf \: 7 = \frac{42 + x}{7} \\ \implies \bf \: 49 = 42 + x \\ \implies \bf \: x = 49 - 42 \\ \implies \underline{ \boxed{ \huge \bf \: x = 7}}$

$\therefore \underline{\bf \huge value \: of \: x \: is7}$