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Date May 2019 Marks available 2 Reference code 19M.2.SL.TZ1.S_1
Level Standard Level Paper Paper 2 Time zone Time zone 1
Command term Find Question number S_1 Adapted from N/A

Question

Ten students were asked for the distance, in km, from their home to school. Their responses are recorded below.

0.3         0.4         3         3         3.5         5         7         8         8         10

The following box-and-whisker plot represents this data.

For these data, find the mean distance from a student’s home to school.

[2]
a.

Find the value of p .

[1]
b.

Find the interquartile range.

[2]
c.

Markscheme

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

evidence of finding  x n         (M1)

eg     0.3 + 0.4 + 3 + + 10 10 ,   48.2 10

x ¯ = 4.82   (exact)       A1  N2

[2 marks]

a.

p = 4.25  (exact)       A1  N1

[1 mark]

b.

valid approach      (M1)

eg   Q3 − Q1  3 − 8 ,  3 to 8

IQR = 5         A1  N2

[2 marks]

c.

Examiners report

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

Syllabus sections

Topic 4—Statistics and probability » SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
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Topic 4—Statistics and probability

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