20N.1.SL.TZ0.T_3

pestleMathematicsAASLPaper 120N· sl-4-2-histograms-cf-graphs-box-plotssource ↗

Hafizah harvested $49$ mangoes from her farm. The weights of the mangoes, $w$ , in grams, are shown in the following grouped frequency table.

Write down the modal group for these data.

[1]

Use your graphic display calculator to find an estimate of the standard deviation of the weights of mangoes from this harvest.

[2]

On the grid below, draw a histogram for the data in the table.

[3]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.

$400 \leq w < 500$ (A1) (C1)

Note: Accept alternative notation $[400, 500)$ or $[400, 500 [.$
Do not accept " $400 - 500$ ".

[1 mark]

$115 (115.265 \dots (g))$ (A2) (C2)

Note: Award (A1)(A0) for an answer of $116 (116.459 \dots)$ .

[2 marks]

(A2)(A1) (C3)

Note: Award (A2) for all correct heights of bars or (A1) for three or four correct heights of bars.
Award (A1) for rectangular bars all with correct left and right end points ( $100, 200, 300, 400, 500$ and $600$ ) and for no gaps; the bars do not have to be shaded.
Award at most (A2)(A0) if a ruler is not used for all lines.

[3 marks]

Examiners’ report

[N/A]