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There is a total of 45 boys and girls in a choir - Edexcel - GCSE Maths - Question 8 - 2020 - Paper 3

Question 8

There is a total of 45 boys and girls in a choir. The mean age of the 18 boys is 16.2 years. The mean age of the 27 girls is 16.7 years. Calculate the mean age of ... show full transcript

Worked Solution & Example Answer:There is a total of 45 boys and girls in a choir - Edexcel - GCSE Maths - Question 8 - 2020 - Paper 3

Step 1

Calculate the total age of the boys

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Answer

To find the total age of the boys, we use the formula:

ext{Total Age of Boys} = ext{Mean Age of Boys} imes ext{Number of Boys} = 16.2 imes 18 = 291.6 ext{ years}

Step 2

Calculate the total age of the girls

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Answer

To find the total age of the girls, we use the formula:

ext{Total Age of Girls} = ext{Mean Age of Girls} imes ext{Number of Girls} = 16.7 imes 27 = 449.1 ext{ years}

Step 3

Calculate the mean age of all boys and girls

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Answer

Now, we calculate the total age of all boys and girls:

ext{Total Age} = ext{Total Age of Boys} + ext{Total Age of Girls} = 291.6 + 449.1 = 740.7 ext{ years}

Next, we use this to calculate the mean age:

ext{Mean Age} = rac{ ext{Total Age}}{ ext{Total Number of Individuals}} = rac{740.7}{45} ext{ years} = 16.48 ext{ years}

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