19M.1.SL.TZ1.T_2

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

The fastest recorded speeds of eight animals are shown in the following table.

State whether speed is a continuous or discrete variable.

[1]

Write down the median speed for these animals.

[1]

Write down the range of the animal speeds.

[1]

For these eight animals find the mean speed.

[2]

d.i.

For these eight animals write down the standard deviation.

[1]

d.ii.

Markscheme / solution

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

continuous (A1) (C1)

[1 mark]

75.5 (km h⁻¹) (A1) (C1)

Note: Answer must be exact.

[1 mark]

294 (km h⁻¹) (A1) (C1)

[1 mark]

$\frac{{300 + 97 + 80 + 80 + 71 + 64 + 21 + 6}}{8}$ OR $\frac{{719}}{8}$ (M1)

Note: Award (M1) for correct sum divided by 8.

89.9 (89.875)(km h⁻¹) (A1) (C2)

[2 marks]

d.i.

84.6 (84.5597…)(km h⁻¹) (A1) (C1)

Note: If the response to part (d)(i) is awarded zero marks, a correct response to part (d)(ii) is awarded (C2).

[1 mark]

d.ii.

Examiners’ report

[N/A]

d.i.

[N/A]

d.ii.