2026-09-10T00:15:19.498180 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Work out the mean and the range of set \(B\), the...

Assessment: Mathematics 9260 | Paper 1 Mock 01 | Written Paper 1 (Core 1C / Extension 1E) Subject: Mathematics - 9260

Question 1 Report

2026-09-10T00:15:19.498180 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL

Work out the mean and the range of set \(B\), then compare the two sets. Set \(A\) has mean \(24\) and range \(10\). Set \(B\) is \(12,\ 16,\ 20,\ 26,\ 30,\ 40\). The bar chart in the diagram shows the six numbers in set B.
(a) Work out the mean of set \(B\).
(b) Work out the range of set \(B\).
(c) Write down one comparison of the two sets.

Answer Details
  1. (a) Add the six values in set \(B\):
    \[12+16+20+26+30+40=144\] [M1]
    \[\text{mean}=\frac{144}{6}=24\]
    The mean of set \(B\) is \(24\) [A1].
  2. (b) \[\text{range}=40-12=28\]
    The range of set \(B\) is \(28\) [B1].
  3. (c) Both sets have mean \(24\), so they have the same average. However, set \(B\) has range \(28\), compared with range \(10\) for set \(A\). Therefore set \(B\) is more spread out [B1].

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