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18M.1.SL.TZ2.T_12

pestleMathematicsAISLPaper 118M· sl-4-2-histograms-cf-graphs-box-plotssource ↗

The histogram shows the time, t, in minutes, that it takes the customers of a restaurant to eat their lunch on one particular day. Each customer took less than 25 minutes.

The histogram is incomplete, and only shows data for 0 ≤ t < 20.

The mean time it took all customers to eat their lunch was estimated to be 12 minutes.

It was found that k customers took between 20 and 25 minutes to eat their lunch.

Write down the mid-interval value for 10 ≤ t < 15.

[1]
a.

Write down the total number of customers in terms of k.

[1]
b.i.
Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

12.5     (A1) (C1)

[1 mark]

a.

33 + k  OR  10 + 8 + 5 + 10 + k     (A1)

Note: Award (A1) for “number of customers = 33 + k”.

[1 mark]

b.i.
Examiners’ report
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a.
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b.i.