Medium3 marksStructured
AQA GCSE · Question 15.2 · Statistical Measures and Calculations
Mumps rate = (Number of confirmed cases / Total population) × 1000.
The population of England in 2011 was estimated by the census to be 53,012,456. Show that the mumps rate for England in 2011 was 0.043 to 3 decimal places.
Mumps rate = (Number of confirmed cases / Total population) × 1000.
The population of England in 2011 was estimated by the census to be 53,012,456. Show that the mumps rate for England in 2011 was 0.043 to 3 decimal places.
How to approach this question
1. Find the number of confirmed mumps cases for England only in the year 2011 from the table. This is the number in brackets in the "Mumps" column for the "2011" row.
2. Use the given formula for the mumps rate.
3. Substitute the number of cases and the total population into the formula.
4. Calculate the result using a calculator.
5. Round your final answer to 3 decimal places and check if it matches 0.043.
Full Answer
Number of mumps cases in England in 2011 = 2299.
Mumps rate = (2299 / 53,012,456) * 1000
= 0.000043368... * 1000
= 0.043368...
Rounded to 3 decimal places, this is 0.043.
Step 1: Find the number of confirmed mumps cases in England in 2011.
From the table, go to the row for 2011 and the column for Mumps. The value is 2372 (2299). The number for England only is the one in brackets, which is 2299.
Step 2: Use the given formula.
Mumps rate = (Number of confirmed cases / Total population) × 1000
Step 3: Substitute the values into the formula.
Mumps rate = (2299 / 53,012,456) × 1000
Step 4: Calculate the result.
Mumps rate = (0.00004336808...) × 1000
Mumps rate = 0.04336808...
Step 5: Round to 3 decimal places.
The fourth decimal place is 3, which is less than 5, so we round down.
Mumps rate ≈ 0.043.
This shows that the mumps rate for England in 2011 was 0.043 to 3 decimal places.
Common mistakes
✗ Using the wrong number of cases from the table (e.g., the combined England and Wales figure of 2372).\n✗ Forgetting to multiply by 1000 at the end.\n✗ Rounding incorrectly.
Practice the full AQA GCSE Statistics Foundation Tier Paper 2
45 questions · hints · full answers · grading
More questions from this exam
Q01A set of data is ordered from smallest to largest. What is the name given to the measure that is ...EasyQ02Look at these sets of data. Which data set has a different range to the others?
A: 2, 4, 5, 5, 7,...EasyQ03The probability that a biased coin lands on heads is 2/5. What is the probability that this coin ...EasyQ04Which of these diagrams could be suitable for displaying raw discrete data?EasyQ05.1The table shows the annual sales value (£ million) in the UK of different ways to buy music. Writ...Easy
Expert