A-LevelMathematicsProbability and statistics9709/53 · May/June 2021 · Q35 Marks

A sports club has a volleyball team and a hockey team. The heights of the 6 members of the volleyball team are summarised by Σx = 1050 and Σx² = 193700, where x is the height of a member in cm. The heights of the 11 members of the hockey team are summarised by Σy = 1991 and Σy² = 366400, where y is the height of a member in cm.

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

[2] M1 Use of appropriate formula with values substituted, accept unsimplified.
A1 Allow 178.88, 178 15/17, 179
[3] M1 Use of appropriate formula with values substituted, accept unsimplified.
M1 Appropriate variance formula using their mean², accept unsimplified expression.
A1 Accept 30.7

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Topic: Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2021 Paper 5 Variant 3, question 3.

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