User interface language: English | Español

Date May 2016 Marks available 1 Reference code 16M.1.sl.TZ1.3
Level SL only Paper 1 Time zone TZ1
Command term Write down Question number 3 Adapted from N/A

Question

In a school 160 students sat a mathematics examination. Their scores, given as marks out of 90, are summarized on the cumulative frequency diagram.

Write down the median score.

[1]
a.

The lower quartile of these scores is 40.

Find the interquartile range.

[2]
b.

The lowest score was 6 marks and the highest score was 90 marks.

Draw a box-and-whisker diagram on the grid below to represent the students’ examination scores.

[3]
c.

Markscheme

48        (A1) (C1)

a.

\(58 - 40\)        (M1)

Note: Award (M1) for 58 and 40 seen.

\( = 18\)         (A1) (C2)

b.

(A1)(A1)(ft)(A1)(ft)       (C3)

Note: Award (A1) for the correct maximum and minimum, (A1)(ft) for their correct median and (A1)(ft) for 40 and their upper quartile.

Follow through from parts (a) and (b).

Award a maximum of (A1)(A1)(ft)(A0) if the horizontal line goes through the box or if a ruler has clearly not been used.

c.

Examiners report

Question 3: Statistics – boxplot
Whilst there were many fine attempts, the number of poor responses to this question was surprising. The interquartile range was little understood, yet quartiles were correctly plotted. The lack of precision – due mainly to not using a ruler – in drawing the boxplot was also disappointing.

a.

Question 3: Statistics – boxplot
Whilst there were many fine attempts, the number of poor responses to this question was surprising. The interquartile range was little understood, yet quartiles were correctly plotted. The lack of precision – due mainly to not using a ruler – in drawing the boxplot was also disappointing.

b.

Question 3: Statistics – boxplot
Whilst there were many fine attempts, the number of poor responses to this question was surprising. The interquartile range was little understood, yet quartiles were correctly plotted. The lack of precision – due mainly to not using a ruler – in drawing the boxplot was also disappointing.

c.

Syllabus sections

Topic 2 - Descriptive statistics » 2.4
Show 99 related questions

View options