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The histogram shows some information about the ages of the 134 members of a sports club - Edexcel - GCSE Maths - Question 13 - 2017 - Paper 2
Question 13
The histogram shows some information about the ages of the 134 members of a sports club. 20% of the members of the sports club who are over 50 years of age are fema... show full transcript
Worked Solution & Example Answer:The histogram shows some information about the ages of the 134 members of a sports club - Edexcel - GCSE Maths - Question 13 - 2017 - Paper 2
Step 1
Estimate the Number of Members Over 50 Years of Age
Answer
To estimate the number of members over 50 years of age, we first need to calculate the total area under the histogram using frequency density. The histogram indicates the following approximate frequency densities:
- For the age range 50-60 years: height of about 2.5, width of 10, area = 2.5 * 10 = 25
- For the age range 60-70 years: height of about 1, width of 10, area = 1 * 10 = 10
The estimated total for members aged over 50 years is then:
Total area = 25 + 10 = 35 members.
Step 2
Calculate the Number of Female Members Over 50 Years of Age
Answer
Now, we know that 20% of the members over 50 years of age are female. Using our estimate of 35 members:
Number of female members = 20% of 35 = (0.2 \times 35 = 7).
Therefore, the estimated number of female members who are over 50 years of age is 7.