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Edexcel IGCSE Math A Higher 6.2 Statistical Measures Questions

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

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

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 average6.2.B The mean, median, mode and range for a discrete data6.2.C Estimating the mean from grouped data6.2.D The modal class for grouped data6.2.HA The median from a cumulative frequency diagram6.2.HB Measures of spread6.2.HC Interquartile range from discrete data6.2.HD The interquartile range from a cumulative frequency

Question 1

[Maximum number: 4]

Here are the numbers of aces that Rutger served in each of 11 tennis matches.

1, 1, 2, 4, 6, 8, 8, 9, 11, 12, 15

Question (a)

(a)

Find the interquartile range of the numbers of aces.

Show your working clearly.

[ 2 ]

Question (b)

(b)

Kim also plays in 11 tennis matches.
For Kim, the median number of aces is 11 and the interquartile range of the numbers of aces is 5.

State, giving a reason, whether Rutger or Kim

[ 2 ]

Question (i)

(i)

served more aces on average,

[ 1 ]

Question (ii)

(ii)

was more consistent with the number of aces served.

[ 1 ]

Question 2

[Maximum number: 5]

The table shows information about the weights, in kilograms, of 40 babies.

Table for Question 2 — Edexcel IGCSE Math A Higher

Question (a)

(a)

Write down the modal class.

[ 1 ]

Question (b)

(b)

Work out an estimate for the mean weight of the 40 babies. kg

One of the 40 babies is going to be chosen at random.

[ 4 ]
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