6.1.3

Frequency Tables

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Frequency Tables

Frequency tables show the number of members of a sample with each data value. We can group data into classes (ranges of values).

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Discrete data

  • The classes for discrete data should have gaps between the values.
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Continuous data

  • Classes for continuous data should be written using inequalities.

Interpreting Frequency Tables

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Mode

  • The modal value or class in a frequency table is simply the value or class with the highest frequency.
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Median

  • The median is the category containing the middle value.
  • Work out the position of the median using the formula (n+1)2 then count through the frequencies until you reach at least that position.
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Range

  • The range is the difference between the highest and lowest values.
  • When the data is grouped the range can be estimated as the difference between the highest and lowest class boundaries.
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Mean - ungrouped table

  • To calculate the exact mean in an ungrouped frequency table, add a column which is ‘value × frequency’.
  • Add up all the values in this column to get the total of all values and then divide by the sum of the frequencies to get the mean.
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Mean - grouped table

  • To estimate the mean in a grouped frequency table add a column which is ‘mid-interval value’ and another column which is ‘mid-interval value × frequency’.
  • Add up all the values in the final column to get an estimate for the total of all values and divide by the sum of the frequencies to get an estimate for the mean.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

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4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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