Averages

Averages– Objectives I can work out the Mode. I can work out the Range. I can make up data sets with a particular mode and range.

Different Averages  Key words Mode Range Data Set

Mode I don’t want to brag, I don’t want to boast, I am the MODE, I am the most.

What was the mode of scores? This bar chart shows the scores in a science test: 1 2 3 4 5 6 7 8 9 10 Number of pupils Marks out of ten This bar chart can be edited by double clicking on it in Normal view. What was the mode of scores? 6

Mode?

What was the modal score? Finding the mode A dice was thrown ten times. These are the results: What was the modal score? 3 is the modal score because it appears most often.

Mode Method of travel Frequency Bicycle 6 On foot 8 Car 2 Bus Train 3 What is the modal method of travel? 8 Most children travel on foot. Travelling on foot is therefore the modal method of travel. Emphasize that the modal method will have the highest frequency.

Mode? Most people walk to school.

Favourite subjects Girls’ mode? Boys’ mode?

Favourite athletics event Compare this graph to the previous one. 2 4 6 8 10 12 14 16 18 20 Sprint Long distance running Hurdles High jump Long jump Triple jump Shot Discus Javelin Frequency This graph should stimulate discussion about the possibility of two modes. In the second graph, the bars are generally higher (122 votes). The two groups of pupils could be male and female, or perhaps two age groups or two schools where sport has a higher profile in one of the schools. This could stimulate discussion about why some people like sport better than others and what can be done to encourage more people to take part in sport, as well as whether people should be influenced in their lifestyle choices by schools or the government. What is the modal sport?

Averages– Objectives I can work out the Mode. I can work out the Range. I can make up data sets with a particular mode and range.

Range From largest to smallest, See how they change, Take them away, And I am the RANGE Biggest number – Smallest number

What was the Range of scores? This bar chart shows the scores in a science test: 1 2 3 4 5 6 7 8 9 10 Number of pupils Marks out of ten This bar chart can be edited by double clicking on it in Normal view. What was the Range of scores? 10 – 1 = 9

Favourite athletics event Compare this graph to the previous one. 2 4 6 8 10 12 14 1 3 5 Numbers of sports played Frequency This graph should stimulate discussion about the possibility of two modes. In the second graph, the bars are generally higher (122 votes). The two groups of pupils could be male and female, or perhaps two age groups or two schools where sport has a higher profile in one of the schools. This could stimulate discussion about why some people like sport better than others and what can be done to encourage more people to take part in sport, as well as whether people should be influenced in their lifestyle choices by schools or the government. What is the Range of the number of sports played? 6 – 0 = 6

Averages– Objectives I can work out the Mode. I can work out the Range. I can make up data sets with a particular mode and range.

Key points? Mode  Most Range  Biggest number – Smallest number Page 200. Q2, 3 Extension Q4

What I Learnt Today 1. 2. What I am unsure about….