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Tables and charts for AQA GCSE Maths

Tables and charts

This page covers the following topics:

1. Frequency tables
2. Frequency diagrams
3. Bar charts
4. Pie charts
5. Vertical line charts

Frequency tables represent large amounts of data in a more efficient way. The mean of grouped data = (frequency × class midpoint) / total frequency.

Frequency tables

In a frequency diagram, frequencies are plotted against the midpoints of each group and connected by straight lines. Cumulative frequency diagrams plot a running total frequency against the upper bounds of classes.

Frequency diagrams

Bar charts represent the frequency of grouped data by the height of bars, with gaps between the groups. Use a key when comparing 2 sets of data on the same bar chart.

Bar charts

Pie charts are useful to visually represent and compare the sizes of sets of data; calculate the angles of each segment using the equation below. A protractor and compass are needed to draw pie charts.

Pie charts

Vertical line charts represent ungrouped, discrete data with vertical lines that don’t touch each other.

Vertical line charts

1

This pie chart shows 50 customer’s favourite type of pie from a cafe. How many more people prefer blueberry pie over cherry pie?

People who prefer blueberry pie: (93.6/360) × 50 =13.
People who prefer cherry pie: (57.6/360) × 50 = 8.
13 - 8 = 5 more people prefer blueberry pie than cherry pie.

5

This pie chart shows 50 customer’s favourite type of pie from a cafe. How many more people prefer blueberry pie over cherry pie?

2

The number of classes a group of college students have in a week is shown in the bar chart below. Find the percentage of students who have more than 15 classes in a week.

?

46%

The number of classes a group of college students have in a week is shown in the bar chart below. Find the percentage of students who have more than 15 classes in a week.

3

The bar chart below shows how many fruits a group of adults and children eat in a week. Which fruit is eaten most by adults and children combined?

?

Melon

The bar chart below shows how many fruits a group of adults and children eat in a week. Which fruit is eaten most by adults and children combined?

4

20 people were asked how many hours they exercise in a week:

hours of exercise, frequency;
0 - 2, 4;
3 - 5, 9;
6 - 8, 5;
9 - 11, 2.

Construct a bar chart with the data in this table.

?

image

20 people were asked how many hours they exercise in a week: hours of exercise, frequency; 0 - 2, 4; 3 - 5, 9; 6 - 8, 5; 9 - 11, 2. Construct a bar chart with the data in this table.

5

The heights, h, in centimetres, of every tree in a park are: 334, 140, 386, 210, 236, 322, 213, 119, 151, 279, 395, 186, 128, 316, 102, 245, 375, 288, 302. Construct a grouped frequency table from this data.

?

image

The heights, h, in centimetres, of every tree in a park are: 334, 140, 386, 210, 236, 322, 213, 119, 151, 279, 395, 186, 128, 316, 102, 245, 375, 288, 302. Construct a grouped frequency table from this data.

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