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Cambridge AS & A Level Mathematics

5.1Representation of data

Representation of data in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic69 practice questions4 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 5.1.1Select a suitable way of presenting raw data and discuss its advantages and disadvantages.
  2. 5.1.2Draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs.
  3. 5.1.3Understand and use measures of central tendency and variation.
  4. 5.1.4Use a cumulative frequency graph to estimate medians, quartiles, percentiles and proportions.
  5. 5.1.5Calculate and use the mean and standard deviation from data, totals or coded totals, for up to two data sets.

Lessons

  • Collecting data and statistical diagrams

    40 min

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  • Histograms and cumulative frequency graphs

    45 min

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  • Measures of central tendency and spread

    45 min

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  • Variance and standard deviation, including summary and coded data

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Representation of data: sample question

1 mark

The stem-and-leaf diagram shows the masses, in kg, of 19 bales of tobacco on an auction floor in Harare. Key: 10∣410 \mid 4 means 104 kg.

Stem Leaves
8 2 5 8
9 1 3 4 6 7 9
10 1 2 4 4 6 8
11 1 3 7
12
13 2

Find the median mass.

Answer in kg.

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