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Date May 2007 Marks available 3 Reference code 07M.1.sl.TZ0.2
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 2 Adapted from N/A

Question

State which of the following sets of data are discrete.

(i) Speeds of cars travelling along a road.

(ii) Numbers of members in families.

(iii) Maximum daily temperatures.

(iv) Heights of people in a class measured to the nearest cm.

(v) Daily intake of protein by members of a sporting team.

[2]
a.

The boxplot below shows the statistics for a set of data.

For this data set write down the value of

(i) the median

(ii) the upper quartile

(iii) the minimum value present

[3]
b.

Write down three different integers whose mean is 10.

[1]
c.

Markscheme

(ii) and (iv) are discrete.     (A1)(A1)

Award (A1)(A0) for both correct and one incorrect.

Award (A1)(A0) for one correct and two incorrect.

Otherwise, (A0)(A0).     (C2)

[2 marks]

a.

(i) Median = 10     (A1)

 

(ii) Q3 = 12     (A1)

 

(iii) Min value = 1 (±0.2)     (A1)     (C3)

 

[3 marks]

b.

Any three different integers whose mean is 10 e.g. 9, 10, 11.     (A1)     (C1)

[1 mark]

c.

Examiners report

a) Very few candidates obtained both marks for part (a), though a majority did gain one mark.

 

a.

b) Most candidates answered (i) and (ii) well. Quite a few could not interpret the scale for (iii).

 

b.

c) An easy mark for candidates. It was very disappointing to see some candidates getting this wrong.

c.

Syllabus sections

Topic 2 - Descriptive statistics » 2.5 » Measures of central tendency.
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