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Date November 2014 Marks available 3 Reference code 14N.1.sl.TZ0.1
Level SL only Paper 1 Time zone TZ0
Command term Find Question number 1 Adapted from N/A

Question

The time, in minutes, that students in a school spend on their homework per day is presented in the following box-and-whisker diagram.


Time, in minutes, students spend on their homework per day

Find

(i)     the longest amount of time spent on homework per day;

(ii)     the interquartile range.

[3]
a.

State the statistical term corresponding to the value of 140 minutes.

[1]
b.

Find the percentage of students who spend

(i)     between 100 and 140 minutes per day on their homework;

(ii)     more than 100 minutes per day on their homework.

[2]
c.

Markscheme

(i)     300 (minutes)   OR   5 hours     (A1) 

Note: If answer given in hours, the unit must be seen.

(ii)     220 – 100     (M1)

Notes: Award (M1) for the two quartiles seen.

= 120 (minutes)   OR   2 hours     (A1)     (C3)

Note: If answer given in hours, the unit must be seen.

a.

median (time spent on homework per day)     (A1)     (C1)

Note: Do not accept middle or medium etc.

b.

(i)     25     (A1)

(ii)     75     (A1)     (C2)

c.

Examiners report

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

Syllabus sections

Topic 2 - Descriptive statistics » 2.6 » Measures of dispersion: range, interquartile range, standard deviation.
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