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Date May 2008 Marks available 1 Reference code 08M.1.sl.TZ2.2
Level SL only Paper 1 Time zone TZ2
Command term Find Question number 2 Adapted from N/A

Question

The following histogram shows the weights of a number of frozen chickens in a supermarket. The weights are grouped such that \(1 \leqslant {\text{weight}} < 2\), \(2 \leqslant {\text{weight}} < 3\) and so on.

Find the total number of chickens.

[1]
b.

Write down the modal group.

[1]
c.

Gabriel chooses a chicken at random.

Find the probability that this chicken weighs less than \(4{\text{ kg}}\).

[2]
d.

Markscheme

\(96\)     (A1)     (C1)

[1 mark]

b.

\(3 \leqslant {\text{weight}} < 4{\text{ kg}}\) . Accept \(3 - 4{\text{ kg}}\)     (A1)     (C1)

[1 mark]

c.

For adding three heights or subtracting \(14\) from \(96\)     (M1)

\(\frac{{82}}{{96}}{\text{ }}(0.854{\text{ or }}\frac{{41}}{{48}}{\text{, }}85.4\% )\) (ft) from (b).     (A1)(ft)     (C2)

[2 marks]

d.

Examiners report

Very few candidates could draw a frequency polygon correctly. The word ‘Draw’ means that a ruler should be used. Many managed to draw from the mid-point of the bar but did not extend it to \(0.5\) or \(5.5\). Most could answer the probability part of the question.

b.

Very few candidates could draw a frequency polygon correctly. The word ‘Draw’ means that a ruler should be used. Many managed to draw from the mid-point of the bar but did not extend it to \(0.5\) or \(5.5\). Most could answer the probability part of the question.

c.

Very few candidates could draw a frequency polygon correctly. The word ‘Draw’ means that a ruler should be used. Many managed to draw from the mid-point of the bar but did not extend it to \(0.5\) or \(5.5\). Most could answer the probability part of the question.

d.

Syllabus sections

Topic 2 - Descriptive statistics » 2.3 » Frequency histograms.
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