the mean of all the factors of 20 and X is 7 find the value of x
Share
the mean of all the factors of 20 and X is 7 find the value of x
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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
Given-
To find
Concept used
Solution
Data
1,2,4,5,10,20,x
Mean
[tex] \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}} [/tex]
We have given that mean=7
So we put in the equation
[tex] \bf \: 7 = \frac{42 + x}{7} \\ \implies \bf \: 49 = 42 + x \\ \implies \bf \: x = 49 - 42 \\ \implies \underline{ \boxed{ \huge \bf \: x = 7}} [/tex]
[tex] \therefore \underline{\bf \huge value \: of \: x \: is7}[/tex]