The mean of three numbers is 25. The mean of other four numbers is 48. Find the mean of all the numbers.
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Given :-
The mean of 3 numbers = 25
The mean of 4 numbers = 48
To find :-
The mean of all numbers.
Solution :-
Given that,
Mean of 3 numbers = 25
The mean of 4 numbers = 48
According to the question,
Total of 3 numbers = \sf 25 \times 325×3
\longrightarrow \sf 75⟶75
Total of 4 numbers = \sf 48 \times 448×4
\longrightarrow \sf 192⟶192
Therefore,
Number of outcomes = \sf 4+3=74+3=7
Total number of outcomes = \sf 75+192 =26775+192=267
Finding the mean,
\underline{\boxed{\sf Mean=\dfrac{Total \ number \ of \ outcomes}{Number \ of \ outcomes} }}
Mean=
Number of outcomes
Total number of outcomes
Substituting their values,
Mean = \sf \dfrac{267}{7} =38\dfrac{1}{7}
7
267
=38
7
1
Therefore, the mean of all numbers is 38 1/7
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