The histogram shows some information about the ages of the 134 members of a sports club - Edexcel - GCSE Maths - Question 13 - 2017 - Paper 2

To find the number of members over 50 years of age from the histogram, we first need to calculate the total area of the relevant histogram bars that represent ages over 50. From the histogram, we can see that:

• For the age group 50-60 (width = 10, height ≈ 1.5):

$Area = width \times height = 10 \times 1.5 = 15$

• For the age group 60-70 (width = 10, height ≈ 0.5):

$Area = 10 \times 0.5 = 5$

• For the age group 70-80 (width = 10, height ≈ 0.5):

$Area = 10 \times 0.5 = 5$

Thus, the total area for ages over 50 is:

$Total\ Area = 15 + 5 + 5 = 25$

Now, convert this area into an estimated number of members:

$Estimated\ members\ over\ 50 = \left(\frac{25}{\text{Total Area of Histogram}}\right) \times 134$

Given that the total number of members is 134, this calculation gives us:

$Estimated\ members\ over\ 50 \approx \left(\frac{25}{42.5}\right) \times 134 \approx 78.82\approx 79 \text{ members (rounded)}$