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There is a total of 56 men and women in an orchestra.

- The mean age of the 26 men is 46.2 years.
- The mean age of the 30 women is 38.2 years.

Calculate the mean age of all 56 men and women. Give your answer to one decimal place.

Answer :

Final answer:

To calculate the mean age of the men and women in the orchestra, find the sum of their ages and divide by the total number of people.


Explanation:

To calculate the mean age of all 56 men and women in the orchestra, we need to find the total sum of their ages and divide it by the total number of people.

For the men, the total sum of their ages is 26 x 46.2 = 1,199.2 years.

For the women, the total sum of their ages is 30 x 38.2 = 1,146 years.

The total sum of all the ages is 1,199.2 + 1,146 = 2,345.2 years.

Therefore, the mean age of all 56 men and women in the orchestra is 2,345.2 / 56 = 41.8 years (to one decimal place).


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Rewritten by : Jeany

Answer:

41.9 years,

Step-by-step explanation:

Mean age of all of them

= total years /total of people

Total age of the men = 26*46.2

Total age of women = 30 * 38.2

So mean age of all of them

= (26*46.2 + 30*38.2) / 56

= 2347.2 / 56
= 41.9 years.

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