IB Revision Bank
About

← back to Mathematics topic 4

19M.1.SL.TZ2.T_6

pestleMathematicsAASLPaper 119M· sl-4-2-histograms-cf-graphs-box-plotssource ↗

A health inspector analysed the amount of sugar in 500 different snacks prepared in various school cafeterias. The collected data are shown in the following box-and-whisker diagram.


Amount of sugar per snack in grams

State what 13 represents in the given diagram.

[1]
a.

Write down the interquartile range for this data.

[2]
b.i.

Write down the approximate number of snacks whose amount of sugar ranges from 18 to 20 grams.

[1]
b.ii.

The health inspector visits two school cafeterias. She inspects the same number of meals at each cafeteria. The data is shown in the following box-and-whisker diagrams.

Meals prepared in the school cafeterias are required to have less than 10 grams of sugar.

State, giving a reason, which school cafeteria has more meals that do not meet the requirement.

[2]
c.
Markscheme / solution

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

median      (A1) (C1)  

[1 mark]

a.

18 − 12      (A1) 

Note: Award (M1) for correct quartiles seen.

6 (g)      (A1) (C2)

[2 marks]

b.i.

125      (A1) (C1)

[1 mark]

b.ii.

Cafeteria 2       (A1) (C1)

75 % > 50 % (do not meet the requirement)        (R1) (C1)

OR

25 % < 50 % (meet the requirement)       (R1) (C1)

Note: Do not award (A1)(R0). Award the (R1) for a correct comparison of percentages for both cafeterias, which may be in words. The percentage values or fractions must be seen. It is possible to award (A0)(R1).

[2 marks]

c.
Examiners’ report
[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
c.