ExpertEasy1 markShort Answer
AQA GCSE · Question 04.2 · Number
Write down the maximum possible attendance.
Write down the maximum possible attendance.
How to approach this question
The number is rounded to the nearest 100. The upper bound of the interval is 8400 + 50 = 8450. However, an attendance of 8450 would round up to 8500. Therefore, the maximum possible integer attendance is one less than this upper bound.
Full Answer
To find the upper bound (maximum), you take the degree of accuracy (100), halve it (50), and add it to the rounded number.
8400 + 50 = 8450.
The maximum possible attendance is any number up to, but not including, 8450. So the maximum integer value is 8449.
As calculated before, the error interval for the attendance `A` is 8350 ≤ A < 8450. The upper bound is 8450. This means the actual attendance can be any value up to, but not including, 8450. Since attendance must be a whole number (an integer), the maximum possible value is the integer just below 8450, which is 8449. (An attendance of 8450 would be rounded up to 8500).
Common mistakes
✗ Stating the upper bound 8450 as the answer. By convention, 8450 would round up to 8500.
✗ Stating 8449.9 or 8449.5. Attendance must be an integer.
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