ExpertEasy1 markMultiple Choice
AQA GCSE · Question 07 · Statistical Measures and Calculations
The number of lambs born on each of the first 10 days in April are given.
8, 11, 9, 14, 12, 14, 10, 15, 14, 13
Circle the first 4-point moving average.
The number of lambs born on each of the first 10 days in April are given.
8, 11, 9, 14, 12, 14, 10, 15, 14, 13
Circle the first 4-point moving average.
Answer options:
A.
9.5
B.
10.5
C.
11
D.
12
How to approach this question
A 4-point moving average is calculated by taking the average of a set of 4 consecutive data points. To find the *first* 4-point moving average, you need to sum the first four numbers in the list and then divide by 4.
Full Answer
B.10.5✓ Correct
A moving average is used to smooth out short-term fluctuations in time series data. A 4-point moving average is the average of four consecutive data points.
The first four data points are 8, 11, 9, and 14.
Step 1: Sum these four points.
Sum = 8 + 11 + 9 + 14 = 42.
Step 2: Divide the sum by the number of points (which is 4).
Average = 42 / 4 = 10.5.
So, the first 4-point moving average is 10.5.
Common mistakes
✗ Averaging the wrong number of points (e.g., 3 or 5).
✗ Starting from the second point instead of the first.
✗ Making an arithmetic error in the addition or division.
Practice the full AQA GCSE Statistics Foundation Tier Paper 1
47 questions · hints · full answers · grading
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