Question

The mean of three numbers is 25. The mean of other four numbers is 48. Find the mean of all the numbers.​

Answer 1

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