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OCR GCSE Maths Tables and charts

Tables and charts

This page covers the following topics:

Frequency tables represent large amounts of data in a more efficient way. The mean of grouped data = (frequency Γ— class midpoint)/total frequency. This example tables test scores.

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

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The number of points scored by a quiz team in a year is shown in the frequency table below. In what month was the mode number of points scored?

OCR GCSE Maths Tables and charts The number of points scored by a quiz team in a year is shown in the frequency table below. In what month was the mode number of points scored?
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2

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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.

OCR GCSE Maths Tables and charts 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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3

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Plot a frequency diagram from this table showing the heights, h, of a group of students:

height (cm), frequency;
150 < h ≀ 155, 1;
155 < h ≀ 160, 3;
160 < h ≀ 165, 5;
165 < h ≀ 170, 8;
170 < h ≀ 175, 4.

OCR GCSE Maths Tables and charts Plot a frequency diagram from this table showing the heights, h, of a group of students: 

height (cm), frequency; 
150 < h ≀ 155, 1; 
155 < h ≀ 160, 3; 
160 < h ≀ 165, 5; 
165 < h ≀ 170, 8; 
170 < h ≀ 175, 4.
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4

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This cumulative frequency diagram shows the number of brownies sold in a cafΓ© in a month. State 2 observations you can interpret from this graph.

OCR GCSE Maths Tables and charts This cumulative frequency diagram shows the number of brownies sold in a cafΓ© in a month. State 2 observations you can interpret from this graph.
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5

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Estimate how many people were between 18-20 years old from this cumulative frequency graph showing the ages of people at a concert.

OCR GCSE Maths Tables and charts Estimate how many people were between 18-20 years old from this cumulative frequency graph showing the ages of people at a concert.
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6

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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.

OCR GCSE Maths Tables and charts 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.
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7

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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.

OCR GCSE Maths Tables and charts 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.
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8

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From this bar chart, what is the modal number of hours spent on homework by a group of students in a week?

OCR GCSE Maths Tables and charts From this bar chart, what is the modal number of hours spent on homework by a group of students in a week?
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9

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60 people were asked to choose a favourite meal; use the pie chart below to complete this table:

meal, frequency;
Pizza, ?;
Curry, ?;
Pasta, ?;
Burger, ?;
Fish and chips, ?.

OCR GCSE Maths Tables and charts 60 people were asked to choose a favourite meal; use the pie chart below to complete this table: 

meal, frequency; 
Pizza, ?; 
Curry, ?; 
Pasta, ?; 
Burger, ?; 
Fish and chips, ?.
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10

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

OCR GCSE Maths Tables and charts This pie chart shows 50 customer’s favourite type of pie from a cafe. How many more people prefer blueberry pie over cherry pie?
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11

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This vertical line chart displays the results of a test taken by some students. What was the modal score?

OCR GCSE Maths Tables and charts This vertical line chart displays the results of a test taken by some students. What was the modal score?
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12

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Carl is a salesman and counts how many sales he makes per day for 2 months:

number of sales, frequency;
8, 14;
9, 25;
10, 11;
11, 18;
12, 20;
13, 15.

Construct a vertical line chart with this data.

OCR GCSE Maths Tables and charts Carl is a salesman and counts how many sales he makes per day for 2 months: 

number of sales, frequency; 
8, 14; 
9, 25; 
10, 11; 
11, 18; 
12, 20; 
13, 15. 

Construct a vertical line chart with this data.
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13

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Mark asked everyone in his year how many people they shared a car with on the way to school and draws a vertical line chart with the data. What is the modal number of people sharing a car?

OCR GCSE Maths Tables and charts Mark asked everyone in his year how many people they shared a car with on the way to school and draws a vertical line chart with the data. What is the modal number of people sharing a car?
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