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Date May Specimen Marks available 1 Reference code SPM.1.sl.TZ0.1
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 1 Adapted from N/A

Question

Consider the frequency histogram for the distribution of the time, \(t\) , in minutes of telephone calls that Helen made last week.

Complete the frequency table for this distribution.

[2]
a.

Write down the modal class.

[1]
b.

Write down the mid interval value of the \(10 < t \leqslant 15\) class.

[1]
c.

Use your graphic display calculator to find an estimate for the mean time.

[2]
d.

Markscheme

     (A2)     (C2)

Note: Award (A2) for four correct entries, (A1) for three correct entries, (A0) otherwise.

a.

\(0 < t \leqslant 5\)     (A1)     (C1)

b.

\(12.5\)     (A1)     (C1)

c.

\(\frac{{275}}{{30}}\)     (M1)

 

Note: Award (M1) for division with \(275\) seen.

 

\(= 9.17\) (\(9.16666 \ldots \))     (A1)(ft)     (C2)

 

Note: Follow through from their parts (a) and (c), irrespective of whether working is shown.

d.

Examiners report

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

Syllabus sections

Topic 2 - Descriptive statistics » 2.3 » Grouped discrete or continuous data: frequency tables; mid-interval values; upper and lower boundaries.
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