the mean monthly income of three members of a family is ₹8000. another member of the family gets a job, and his monthly salary is ₹10000. what is the mean monthly income of the four earning members of the family?
Answers
Step-by-step explanation:
Given :-
The mean monthly income of three members of a family is ₹8000. another member of the family gets a job, and his monthly salary is ₹10000.
To find :-
What is the mean monthly income of the four earning members of the family?
Solution :-
Given that
The mean monthly income of three members of a family is ₹8000.
We know that
Mean = Sum of all observations/Number of all observations
=> 8000 = Sum of the salary of three members / Number of members in the family
=> 8000 = Sum of the salary of three members/3
=>Sum of the salary of three members=8000×3
=>Sum of the salary of three members = 24000
And
Monthly income of the fourth member = ₹10000
Sum of the income of all four members
=> 24000+10000
=> 34000
Mean monthly income of the four members of the family
=>Sum of the income of all four members/4
=> 34000/4
=> 8500
Therefore, Mean income = ₹ 8500
Answer:-
The mean monthly income of the four earning members of the family is ₹ 8500
Used formulae:-
Mean = Sum of all observations/Number of all observations
Concept : Mean
Formula :
Mean = sum of all observations/total no.of. observations
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so, when in that Family three members has got Job their total salary.
⇒ Sum of the salary of three members = 8000 x 3
⇒ Sum of the salary of three members = 24,000
when, fourth member got Job.
⇒ Sum of Salary of 4 members = 24,000 + 10,000
⇒ Sum of Salary of 4 members = 34,000
and, Finding Mean of 4 member's Salaries.
⇒ 34,000/4
⇒ ₹8,500
∴ The Mean Monthly income of the Four Earning members of the Family is ₹8,500