19M.2.SL.TZ1.S_1

pestleMathematicsAASLPaper 219M· sl-4-3-mean-median-mode-mean-of-grouped-data-standard-deviation-quartiles-iqrsource ↗

Ten students were asked for the distance, in km, from their home to school. Their responses are recorded below.

0.3 0.4 3 3 3.5 5 7 8 8 10

The following box-and-whisker plot represents this data.

For these data, find the mean distance from a student’s home to school.

[2]

Find the value of $p$ .

[1]

Find the interquartile range.

[2]

Markscheme / solution

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

evidence of finding $\frac{{\sum x }}{n}$ (M1)

eg $\frac{{0.3 + 0.4 + 3 + \ldots + 10}}{{10}}$ , $\frac{{48.2}}{{10}}$

$\bar x = 4.82$ (exact) A1 N2

[2 marks]

$p$ = 4.25 (exact) A1 N1

[1 mark]

valid approach (M1)

eg Q₃ − Q₁ 3 − 8 , 3 to 8

IQR = 5 A1 N2

[2 marks]

Examiners’ report

[N/A]