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AQA GCSE · Question 06.11 · Statistical Measures and Calculations
This table also shows information about reduced journey times from London. Work out the missing time and percentage in the Preston row.
This table also shows information about reduced journey times from London. Work out the missing time and percentage in the Preston row.
How to approach this question
There are two calculations needed for the Preston row.
1. **Reduction in minutes:** Subtract the "Journey time after HS2" from the "Current journey time".
2. **Percentage reduction:** Use the formula: (Reduction in minutes / Current journey time) × 100. Round your answer to one decimal place to match the format of the other rows.
Full Answer
Reduction time in minutes:
Current time = 128 mins
New time = 84 mins
Reduction = 128 - 84 = 44 minutes.
Percentage reduction:
% reduction = (Reduction / Original Time) * 100
% reduction = (44 / 128) * 100
% reduction = 0.34375 * 100 = 34.375%
Rounded to one decimal place (like the others), this is 34.4%.
Answer: 44 mins, 34.4 %
**Step 1: Calculate the reduction in minutes for Preston.**
The table shows:
- Current journey time = 128 minutes
- Journey time after HS2 = 84 minutes
Reduction = 128 - 84 = 44 minutes.
**Step 2: Calculate the percentage reduction.**
The formula for percentage change is (Change / Original) × 100.
Percentage reduction = (Time reduction / Current journey time) × 100
Percentage reduction = (44 / 128) × 100
Percentage reduction = 0.34375 × 100
Percentage reduction = 34.375%
The other percentages in the table are given to one decimal place, so we should round our answer similarly.
34.375% rounds to **34.4%**.
The missing values are **44** mins and **34.4** %.
Common mistakes
✗ Dividing by the new time instead of the original time for the percentage calculation.\n✗ Calculation errors in subtraction or division.\n✗ Incorrectly rounding the final percentage.
Practice the full AQA GCSE Statistics Higher Tier Paper 2
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