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Tables and Graphing

Tables and Graphs for maths
by

Stuart Mellon

on 13 October 2014

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Transcript of Tables and Graphing

What is a Table?
Tables and Graphs
Tables
Reading Graphs
What are the different types of Graphs?
When do I use a line graph?
LINE GRAPH
In addition to drawing a graph its also important to be able to read a graph
A Table presents the data as a table of rows and columns, and is used to see details and compare values.
BAR GRAPHS
When do I use a Bar Graph?
Bar graphs can be used when comparing 2 or more categories
Bar graphs can be used to show results from a survey
Example: Whats your favorite sport?
When data is changing over time
Example: average temperatures over a year
Steps for making a line graph
1. Identify the variables:
Independent variable goes on the left side of the data table and the x axis of the graph.
Dependent variable goes on the right side of the data table and the y axis of the graph.
Sarah bought a new car in 2001 for £24,000 the value of her car changed each year as shown in the table below.
Value of Sarah's car

Year Value
2001 £24,000
2002 £22,500
2003 £19,700
2004 £17,500
2005 £14,500
2006 £10,000
2007 £5,800
IV: Years since Sarah bought her car
DV: The value of her car
2. Number and label each axis
3. Plot the data points
PIE GRAPH
When do I use a pie graph?
A pie graph is used when you want to compare data as a whole of 100%
Its easy to compare data as a whole when you look at the sections of the pie graph
The pieces are given in percentages and all the pieces must equal the whole 100%
What's your favorite type of movie?
Comedy = 4 4/20=0.2 x 100 = 20%
Action = 5 5/20=0.25 x 100 = 25%
Romance = 6 6/20=0.3 x 100 = 30%
Drama = 1 1/20=0.05 x 100 = 5%
Sci-fi = 4 4/20=0.2 x 100 20%
20 = 100%
The table below shows the music preferences of 300 students at a school. Construct a pie graph to represent this data
Music Type Number of Students
Rap 105
Rock and Roll 84
Alternative 45
Country 36
Classical 30
Rap 105 / 300 x 100 = 35%
Rock and Roll 84 / 300 x 100 = 28%
Alternative 45 / 300 x 100 = 15%
Country 36 / 300 x 100 = 12%
Classical 30 / 300 x 100 = 10%
Rap 105 / 300 x 360 = 126
Rock and Roll 84 / 300 x 360 = 100.8
Alternative 45 / 300 x 360 = 54
Country 36 / 300 x 360 = 43.2
Classical 30 / 300 x 360 = 36
Percentage angles
What every graph needs
Title - you need a descriptive title that shows what is being tested

Scales - your scale needs to be even the entire way through and start at 0.

Label on the x and y axis - you are labeling the dependent and independent variables.

Key - describe what colours, bars or sections mean.

Units - How your data is measured.
Positive and Negative trends
Objectives
Be able to produce a table with data

Generate between 1 and 3 different types of graphs

Understand how to read different types of graphs and data
Data Table
Sport Boys Girls

Baseball 8 8
Football 8 3
Soccer 6 10
Tennis 4 7
Track 2 5
Basketball 9 2
Task 1: Identify the graph that represents the following statement?
1. I was on my way to visit a friend, but along the way my car got a flat tire?
Task 2: The graph represents the typical day of a teenager
1. What percentage of the day is spent watching TV?
2. How many hours are spent sleeping?
3. What activity takes the least amount of time?
4. What two activities take up 50% of the day?
5. What activity takes up a quarter of the day?
6. What three activities take up 25% of the day?
7. How much time is spent on the phone?
8. How long does it take to eat?
Answers:
1. 13%
2. 7.9 Hours
3. Studying
4. Sleeping and Talking on the phone
5. Going to school
6. Studying, Eating and Watching TV
7. 4.08 Hours
8. 1.92 Hours
Task 3: The bar graph represents the amount of fruits eaten during a lunch time at college
1. What is the total amount of fruit eaten during lunch time?
2. What percentage of fruit were Kiwi and grape?
3. What number of fruits were Apple?
4. How many more Oranges were eaten than Banana's?
5. What percentage of fruits begin with the letter B?
6. What 3 fruits make up a third of the total fruits eaten?
Answers:
1. 145
2. 20.7%
3. 35
4. 20
5. 34.5%
6. Apple, Banana and Grape
2. I started out calmly, but sped up when I realized I was going to be late?
3. After leaving home I was part way on my journey when I remembered I had forgotten something and had to return to find it?
4. After rushing to meet my friend we calmly walk the rest of the way to work?
Extension task 1:

The teenager has now decided to include 90 minutes of exercise a day and will reduce the time evenly between talking on the phone and watching TV how will this affect the data?
Extension task 2:

The teenager has now decided to spread the exercise time evenly throughout the day how will this change the data?
Extension Answers:
Task 1:
Phone: 4.08 - 3.33 = 14%
TV: 3.12 - 2.37 = 10%
Exercise: 0 - 1.5 = 6%

Task 2:
Sleep: 7.92 - 7.67 = 32%
Phone: 4.08 - 3.83 = 16%
School: 6 - 5.75 = 24%
Studying: 0.96 - 0.71 = 3%
Eating: 1.92 - 1.67 = 7%
TV: 3.12 - 2.87 = 12%
Exercise: 0 - 1.5 = 6%
Formula:
%/100x24
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