Statistics Average (Mean), Range Frequency Tables Line Graphs www.mathsrevision.com Pie Charts Constructing Pie Charts 16-Sep-18 Created by Mr. Lafferty

Lesson Starter www.mathsrevision.com Level 2 Q1. Write down the highest and lowest number in this set of numbers. 52, 55, 62, 51, 59, 62, 52, 59, 61, 55 Q2. Add 2.34 + 5.03 + 7.2 www.mathsrevision.com Q3. Find x to make this expression true. 16-Sep-18 Created by Mr. Lafferty

Aims of the lesson www.mathsrevision.com Level 2 1. We are learning the meaning of the keywords Mean and Range Calculate the mean and range for given data. www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Finding the range The range of a set of data is a measure of how the data is spread across the distribution. To find the range we subtract the lowest value in the set from the highest value. Range = highest value – lowest value When the range is small; the values are similar in size. When the range is large; the values vary widely in size. 16-Sep-18 Created by Mr. Lafferty

The range Here are the high jump scores for two girls in metres. Joanna 1.62 1.41 1.35 1.20 1.15 Kirsty 1.59 1.45 1.30 Find the range for each girl’s results and use this to find out who is consistently better. Joanna’s range = 1.62 – 1.15 = 0.47 Kirsty’s range = 1.59 – 1.30 = 0.29 16-Sep-18 Created by Mr. Lafferty

The mean The mean is the most commonly used average. To calculate the mean of a set of values we add together the values and divide by the total number of values. Mean = Sum of values Number of values For example, the mean of 3, 6, 7, 9 and 9 is 16-Sep-18 Created by Mr. Lafferty

Two dice were thrown 10 times and their scores were added together and recorded. Find the range and mean for this data. 7, 5, 2, 7, 6, 12, 10, 4, 8, 9 Range Mean 16-Sep-18 Created by Mr. Lafferty

Extreme values and their effect on the mean Here are some 1500 metre race results in minutes. 6.26 6.28 6.30 6.39 5.38 4.54 10.59 6.35 7.01 Are there any extreme values? Will the mean be increased or reduced by the extreme value? Calculate the mean with the extreme value. Now calculate the mean without the extreme value. How much does it change? The mean with the extreme value is 59.1 ÷ 9 = 6.57 minutes The mean without the extreme value is 48.51 ÷ 8 =6.06 minutes Another example of when an extreme value would occur is an experiment on reaction time, where an anomalous result (e.g. if the participant’s hand slips) will be very large compared with the rest of the results. It may be appropriate in research or experiments to remove an extreme value before carrying out analysis of results. 16-Sep-18 Created by Mr. Lafferty

Now try Exercise 1 Ch9 (page 104) Average / Mean Level 2 Now try Exercise 1 Ch9 (page 104) www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Lesson Starter www.mathsrevision.com Q1. Level 2 Q1. Q2. How long between 8:40am to 1.20pm Q3. 36.9 x 6 www.mathsrevision.com Q4. 34.7 x 100 Q5. Put these numbers in order 52, 55, 62, 51, 59, 62, 52, 59, 61, 55 16-Sep-18 Created by Mr. Lafferty

Aims of the Lesson www.mathsrevision.com Level 2 1. Understand the term Frequency Table. 2. Construct a Frequency Table. 3. Interpret information from Frequency Tables. www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Sum of Tally is the Frequency Frequency tables Raw data can often appear untidy and difficult to understand. Organising such data into frequency tables can make it much easier to make sense of (interpret) the data. Data Tally Frequency llll represents a tally of 5 Sum of Tally is the Frequency 16-Sep-18

Frequency tables Example 1. A tomato grower ideally wants his tomatoes to have diameters of 60mm, but a diameter ranging from 58mm to 62mm will be acceptable. Organise the diameters given below into a frequency table. 58 59 56 62 57 60 61 Lowest number 56 Highest number 62 16-Sep-18 Created by Mr. Lafferty

Frequency tables X X X X X X 58 60 56 59 57 61 62 Diameter Tally 16-Sep-18 Created by Mr. Lafferty

Frequency tables X X X X X 58 60 56 59 57 61 62 Diameter Tally lll llll 3 4 9 13 10 5 4 16-Sep-18 Created by Mr. Lafferty

Now try Exercise 2 Ch9 (page 108) Frequency Tables Level 2 Now try Exercise 2 Ch9 (page 108) Q3 , Q5 – Q9 www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Lesson Starter www.mathsrevision.com Q1. Level 2 Q1. Q2. How long between 8:12am to 2.09pm Q3. 75.9 x 7 www.mathsrevision.com Q4. Find arrow value 1200 1300 Q5. The answer to a question is 81. Write down the question. 16-Sep-18 Created by Mr. Lafferty

Aims of the Lesson We are learning to interpret Level 2 We are learning to interpret information from Line Graphs. 2. Construct a Line Graph. www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

What are the Keypoints when creating a line graph ? Title Labels Units Reasonable Scale What are the Keypoints when creating a line graph ? Line graphs Line graphs are most often used to show trends over time. If the temperature in Aberdeen, in ºC, over a 12-hour period is plotted, the line graph shows the temperature trend. 16-Sep-18 Created by Mr. Lafferty

A hospital nurse recorded a patient’s temperature every hour Time (Hour) 6 am 7 am 8 am 9 am 10 am 11 am Temperature oC 101 102 102.5 103 100.5 Temperature against Time Title Labels Units Reasonable Scale 102 103 Temperature C 101 100 9 10 11 6 7 8 16-Sep-18 Time (Hours AM)

Now try Exercise 3 Ch9 (page 111) Line Graphs Level 2 Now try Exercise 3 Ch9 (page 111) Q1 – Q5 www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Lesson Starter www.mathsrevision.com Q1. Q2. 240 divided by 60 Level 2 Q1. Q2. 240 divided by 60 Q3. Simplify www.mathsrevision.com A circle is divided into 10 equal pieces. The whole circle is 100%. What value is one piece. Q4. Q5. The answer to a question is 60. Write down the question. 16-Sep-18 Created by Mr. Lafferty

Aims of lesson We are learning www.mathsrevision.com Level 2 We are learning Work out the percentage of 1 slice. Interpret information from pie charts. Calculate the percentage values of a quantity. www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Pie Charts Pie charts can be thought of as circle graphs. Count the number of parts the circle is divided into. The percentage represented by each part is: Whole circle 100% 100%  number of parts 16-Sep-18 Created by Mr. Lafferty

Pie Charts A drinks machine dispenses 500 drinks on a Monday. The information is displayed in the pie chart. Use the information to find the number of each drink sold. Tea 20% Squash 40% Each part is 100%  10 = 10% tea milk squash coffee Coffee 30% Milk 10% 16-Sep-18 Created by Mr. Lafferty

Now try Exercise 4 Ch9 (page 113) Pie-Charts Level 2 Now try Exercise 4 Ch9 (page 113) www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty

Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Pie Charts Constructing Pie Charts Learning Intention Success Criteria Find fractions of 360o. We are learning to construct an accurate Pie-Chart. 2. Use these fractions to construct a Pie Chart. www.mathsrevision.com 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 Rugby 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 Football 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 Cricket 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 Squash Ice Hockey 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Drawing Pie Charts In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey Squash Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Total 300 90o 108o 54o 72o 36o 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts Total In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart. Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash 30 Worksheet Constructing a Pie Chart 16-Sep-18 Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar Violin

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Violin Guitar

Recorder Violin Guitar Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Recorder Violin Guitar

Guitar Recorder Violin Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar Violin Recorder

Keyboard Drum Guitar Recorder Violin Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar Violin Recorder Keyboard Drum

Guitar Violin Recorder Keyboard Drum Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart. Guitar Violin Recorder Drum 35 10 15 5 Musical Instrument Keyboard 25 Total 90 Guitar Violin 140o 100o 60o 40o 20o Recorder Keyboard Drum

Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Drawing Pie Charts Total 120

Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Vanilla

Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Vanilla

Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Vanilla Banana

Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Banana Vanilla

Chocolate Strawberry Banana Vanilla Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Banana Vanilla Chocolate Strawberry

Banana Chocolate Vanilla Strawberry Drawing Pie Charts Vanilla Banana Chocolate Strawberry 13 22 28 57 Ice-cream Sales The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart. Total 120 Banana Vanilla Chocolate Strawberry 39o 66o 84o 171o