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AQA GCSE · Question 10.8 · Statistical Measures and Calculations
The formula used to calculate a birth rate is:
Birth rate = (number of live births recorded / total population) × 1000
The population of Germany in 2017 was approximately 80 000 000.
Use the table on page 11 and this information to estimate the approximate number of live births recorded in Germany in 2017.
The formula used to calculate a birth rate is:
Birth rate = (number of live births recorded / total population) × 1000
The population of Germany in 2017 was approximately 80 000 000.
Use the table on page 11 and this information to estimate the approximate number of live births recorded in Germany in 2017.
How to approach this question
1. Look up the birth rate for Germany from the table on page 11.
2. Substitute the known values (Birth rate, total population) into the given formula.
3. Rearrange the formula to make "number of live births" the subject.
4. Calculate the final answer.
Full Answer
From the table, Germany's birth rate is 8.5.
8.5 = (live births / 80,000,000) * 1000
8.5 / 1000 = live births / 80,000,000
0.0085 = live births / 80,000,000
live births = 0.0085 * 80,000,000
live births = 680,000
The formula is: Birth rate = (number of live births / total population) × 1000.
We are given:
- Birth rate for Germany (from table) = 8.5
- Total population of Germany = 80,000,000
Substitute these values into the formula:
8.5 = (Number of live births / 80,000,000) × 1000
Now, we need to rearrange the formula to solve for the number of live births.
First, divide both sides by 1000:
8.5 / 1000 = Number of live births / 80,000,000
0.0085 = Number of live births / 80,000,000
Next, multiply both sides by 80,000,000:
Number of live births = 0.0085 × 80,000,000
Number of live births = 680,000.
So, the estimated number of live births is 680,000.
Common mistakes
✗ Using the wrong birth rate from the table.
✗ Making an error when rearranging the formula, e.g., multiplying by 1000 instead of dividing.
✗ Calculation error.
Practice the full AQA GCSE Statistics Foundation Tier Paper 1
47 questions · hints · full answers · grading
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