Edexcel IGCSE Math A 6.2 statistical measures

Use this statistical-measures page to calculate averages, estimate grouped means and read median or IQR values from cumulative frequency graphs.

Exam points

Calculate mean, median, mode and range from lists, tables or contextual totals.
Estimate grouped means and identify modal classes from frequency tables.
Use cumulative frequency diagrams to estimate medians and interquartile ranges.

Covered syllabus points

6.2.A The concept of average 6.2.B The mean, median, mode and range for a discrete data 6.2.C Estimating the mean from grouped data 6.2.D The modal class for grouped data

[Maximum number: 4]

Eight people play a computer game.
Here are their scores.
7
10
8
9
12
9
10
10

(a)

Work out the median score.

[ 2 ]

Ordered scores:

7, 8, 9, 9, 10, 10, 10, 12

\text{median}=\frac{9+10}{2}=9\frac12

Final answer:

9\frac12

M1 for listing eight values in order.
A1.

(b)

Find the range of their scores.

One of the eight people is selected at random.

[ 2 ]

[Maximum number: 5]

The table gives information about the distances 100 adults travel to work.

Table for Question 6.2 Statistical measures question 2 — Edexcel IGCSE Math A Foundation

(a)

Write down the modal class.

[ 1 ]

Final answer:
$5<d\le 10$

Allow 5-10, 5 to 10, 5<d<10, or $5\le d\le10$ .

(b)

Work out an estimate for the mean distance.

[ 4 ]

Midpoint products:
2.5(26)+7.5(40)+12.5(16)+17.5(10)+22.5(8)65+300+200+175+180=920

Estimated mean:
$\frac{920}{100}=9.2$

Final answer:
9.2

SCB2 for 6.7, 9.7, or 11.7.

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Covered syllabus points

6.2 Statistical measures question 1

Question (a)

Question (b)

6.2 Statistical measures question 2

Question (a)

Question (b)