CAIE IGCSE Mathematics Extended Statistical Diagrams

Practise constructing statistical diagrams from frequencies and five-number summaries, with emphasis on pie-chart sectors, ordered leaves and box plots.

Exam points

convert a frequency into a pie-chart sector using frequency ÷ total × 360° and draw it accurately
arrange each stem's leaves in ascending order and include a key that identifies the data value
plot minimum, quartiles, median and maximum at the correct scale to construct a box plot

Covered syllabus points

E9.4.1 Draw and interpret: (a) bar charts (b) pie charts (c) pictograms (d)

[Maximum number: 4]

(a)

The list shows 15 midday temperatures, in degrees Celsius, in Suntown.

Table for Question (a) — CAIE IGCSE Mathematics Extended

[ 4 ]

(i)

Complete the stem-and-leaf diagram to show this information.

Table for Question (i) — CAIE IGCSE Mathematics Extended

Key: $1 \mid 7$ represents $17^{\circ} \mathrm{C}$

[ 2 ]

1	7	7	8	8	9	9
2	1	1	1	1	2	3	3	4	5

(ii)

Rahul draws a pie chart to show this information.

Calculate the sector angle for the number of days the temperature is $18^{\circ} \mathrm{C}$ .

[ 2 ]

48
M1 for $\frac{2}{15}\times360$ or $\frac{360}{15}\times2$

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Covered syllabus points

E9.4 Statistical charts and diagrams question 1

Question (a)

Question (i)

Question (ii)