# StudySquare

# Tables and charts for AQA GCSE Maths

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.

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.

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.

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.

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

# 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

# 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%

# 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

# 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

# 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

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