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Date November 2019 Marks available 1 Reference code 19N.1.SL.TZ0.T_13
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term State Question number T_13 Adapted from N/A

Question

Chicken eggs are classified by grade (4, 5, 6, 7 or 8), based on weight. A mixed carton contains 12 eggs and could include eggs from any grade. As part of the science project, Rocky buys 9 mixed cartons and sorts the eggs according to their weight.

State whether the weight of the eggs is a continuous or discrete variable.

[1]
a.

Write down the modal grade of the eggs.

[1]
b.

Use your graphic display calculator to find an estimate for the standard deviation of the weight of the eggs.

[2]
c.

The mean weight of these eggs is 64.9 grams, correct to three significant figures.

Use the table and your answer to part (c) to find the smallest possible number of eggs that could be within one standard deviation of the mean.

[2]
d.

Markscheme

continuous       (A1)   (C1)

[1 mark]

a.

6       (A1)   (C1)

Note: Award (A0) for an answer of 60w<70.

[1 mark]

b.

8.97  8.97479  (g)       (A2)   (C2)

[2 marks]

c.

55.9, 73.9  OR  55.9252w73.8747        (M1)

Note: Award (M1) for correct endpoints seen. If the answer to part (c) is 14.1421, award (M1) for endpoints of 50.7578, 79.0421.

45         (A1)(ft)   (C2)       

Note: Follow through from their part (c). For a standard deviation between 0 and 5 inclusive, the FT answer is 0.

[2 marks]

d.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.

Syllabus sections

Topic 4—Statistics and probability » SL 4.2—Histograms, CF graphs, box plots
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Topic 4—Statistics and probability » SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
Topic 4—Statistics and probability

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