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Date	May 2017	Marks available	2	Reference code	17M.2.hl.TZ2.1
Level	HL only	Paper	2	Time zone	TZ2
Command term	Calculate	Question number	1	Adapted from	N/A

Question

There are 75 players in a golf club who take part in a golf tournament. The scores obtained on the 18th hole are as shown in the following table.

M17/5/MATHL/HP2/ENG/TZ2/01

One of the players is chosen at random. Find the probability that this player’s score was 5 or more.

[2]

Calculate the mean score.

[2]

Markscheme

${\text{P}}(5{\text{ or more}}) = \frac{{29}}{{75}}\,\,\,( = 0.387)$ (M1)A1

[2 marks]

${\text{mean score}} = \frac{{2 \times 3 + 3 \times 15 + 4 \times 28 + 5 \times 17 + 6 \times 9 + 7 \times 3}}{{75}}$ (M1)

$= \frac{{323}}{{75}}\,\,\,( = 4.31)$ A1

[2 marks]

Examiners report

[N/A]

Syllabus sections

Topic 5 - Core: Statistics and probability » 5.5

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