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An introduction to Histograms

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by

Marc Jones

on 25 November 2013

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Transcript of An introduction to Histograms

An introduction to Histograms
Starter
Which one of these charts is the odd one out?

Why?
What is a histogram?
A histogram is a bar graph that shows how frequently data occur within certain ranges or intervals. The height of each bar gives the frequency density for the respective interval

Solution
In order to draw the Histogram we draw a graph (with the bars touching) of frequency density/speed
10
20
30
40
50
60
70
80
Age
Drawing a histogram
Frequency density
WILT
Recognise a histogram
Calculate the frequency density
Draw a histogram
5

4

3

2

1
To calculate the frequency density we use the following formula:
Calculating the frequency density
Frequency density =
Frequency
Class width
0.25
1.5
1.8
4
7
2
We cannot use a bar chart because we have continuous data.

We need to find the frequency density in order to draw a histogram
Mileage (m) Frequency Frequency density
0 ≤ m < 5 10
5 ≤ m < 15 40
15 ≤ m < 20 50
20 ≤ m < 30 70
30 ≤ m < 45 60
45 ≤ m < 50 40
2
4
10
7
4
8
5 10 15 20 25 30 35 40 45 50
Frequency density
Mileage (m)
0.25
1.5
1.8
4
7
2
Full transcript