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22 September 2018 Pie Charts

How can we compare this data? 90 students were asked what their favourite sport was. 20 students preferred tennis. 10 students liked golf. Football was the favourite sport for 30 students. 15 students chose cricket. 15 students picked basketball. How can we compare this data?

We’ll use a pie!

A table helps us organise the data. Favourite Sport Golf Football Basketball Tennis Cricket Students (Frequency) 10 30 15 20 The whole ‘pie’ represents the 90 students. Each ‘slice’ represents a category. Cricket Golf Football Tennis Basketball

A pie chart shows the proportion of frequencies. We can easily compare the sectors (‘slices’) to compare the data. Cricket Golf Football Tennis Basketball

360 90 =4° How many degrees in the total pie? 360° If we surveyed 90 people, how many degrees is one person ‘worth’ in the pie? 360 90 =4° 10 people like golf. (40°)

360 divides exactly by 60, so each person can be represented by 6°. The scaling method 60 students were surveyed about their favourite drink. Favourite Drink Cola Water Lemonade Orange Juice Blackcurrent Students (Frequency) 10 20 15 5 360 divides exactly by 60, so each person can be represented by 6°. Favourite Drink Frequency Calculation Angle Cola 10 10 x 6 60° Water 20 20 x 6 120° Lemonade Orange Juice 15 15 x 6 90° Blackcurrent 5 5 x 6 30° Blackcurrent Cola Orange Juice Water Lemonade Check it equals 360°! Label the sectors!

360 divides exactly by 60, so each person can be represented by 6°. The scaling method 60 students were surveyed about their favourite drink. Favourite Drink Cola Water Lemonade Orange Juice Blackcurrent Students (Frequency) 10 20 15 5 360 divides exactly by 60, so each person can be represented by 6°. Favourite Drink Frequency Calculation Angle Cola 10 10 x 6 60° Water 20 20 x 6 120° Lemonade Orange Juice 15 15 x 6 90° Blackcurrent 5 5 x 6 30° Blackcurrent Cola Orange Juice Water No animation. Lemonade Check it equals 360°! Label the sectors!

30 students were surveyed about their favourite pet. Complete the table and find the angle for each category. Favourite Pet Frequency Calculation Angle Dog 10 Rabbit 8 Cat 12 Assessment - Answers

30 students were surveyed about their favourite pet. Complete the table and find the angle for each category. 360 30 =12 Favourite Pet Frequency Calculation Angle Dog 10 10 x 12 120° Rabbit 8 8 x 12 96° Cat 12 12 x 12 144° Assessment

10 90 How many degrees in the total pie? 360° If we surveyed 90 people, and 10 people liked golf, what fraction of the pie is that? So, we want 10 90 of 360°. 10 90 x 360° = 40°

The proportional method 60 students were surveyed about their favourite drink. Favourite Drink Cola Water Lemonade Orange Juice Blackcurrent Students (Frequency) 10 20 15 5 We can calculate the fraction of each category, and take that fraction of 360°. Favourite Drink Frequency Calculation Angle Cola 10 10 60 x 360° 60° Water 20 20 60 x 360° 120° Lemonade Orange Juice 15 15 60 x 360° 90° Blackcurrent 5 5 60 x 360° 30° Blackcurrent Cola Orange Juice Water Lemonade Check it equals 360°! Label the sectors!

The proportional method 60 students were surveyed about their favourite drink. Favourite Drink Cola Water Lemonade Orange Juice Blackcurrent Students (Frequency) 10 20 15 5 We can calculate the fraction of each category, and take that fraction of 360°. Favourite Drink Frequency Calculation Angle Cola 10 10 60 x 360° 60° Water 20 20 60 x 360° 120° Lemonade Orange Juice 15 15 60 x 360° 90° Blackcurrent 5 5 60 x 360° 30° Blackcurrent Cola Orange Juice Water No animation. Lemonade Check it equals 360°! Label the sectors!

30 students were surveyed about their favourite pet. Complete the table and find the angle for each category. Favourite Pet Frequency Calculation Angle Dog 10 Rabbit 8 Cat 12 Assessment

Dog 10 10 30 x 360° 120° Rabbit 8 8 30 x 360° 96° Cat 12 12 30 x 360° 30 students were surveyed about their favourite pet. Complete the table and find the angle for each category. Favourite Pet Frequency Calculation Angle Dog 10 10 30 x 360° 120° Rabbit 8 8 30 x 360° 96° Cat 12 12 30 x 360° 144° Assessment - Answers

1) 2) 30 students were asked about their favourite food. Copy & complete the table. Use the information to draw a pie chart. Food Frequency Calculation Angle Burger 12 Pasta 6 Salad 10 Sausages 2 2) Complete a pie chart to represent the way 90 students get to school. Transport Walk Bus Car Bike Frequency 30 35 10 ?

1) 2) Answers 30 students were asked about their favourite food. Copy & complete the table. Use the information to draw a pie chart. Food Frequency Calculation Angle Burger 12 12 30 x 360° 144° Pasta 6 6 30 x 360° 72° Salad 10 10 30 x 360° 120° Sausages 2 2 30 x 360° 24° Answers 2) Answers Complete a pie chart to represent the way 90 students get to school. Transport Walk Bus Car Bike Frequency 30 (120°) 35 (140°) 10 (40°) 15 (60°)

1) Answers 30 students were asked about their favourite food. Copy & complete the table. Use the information to draw a pie chart. Sausages Answers Salad Burger Pasta Answers

2) Complete a pie chart to represent the way 90 students get to school. Transport Walk Bus Car Bike Frequency 30 (120°) 35 (140°) 10 (40°) 15 (60°) Answers Bike Walk Car Answers Bus

Food Frequency Calculation Angle Burger Pasta Salad Sausages Food Frequency Calculation Angle Burger Pasta Salad Sausages Scaffolded pie chart templates to print.

Pie chart templates to print.

1. 3. 10 students were asked about their favourite sport. 40 teachers were surveyed to see what car they drove. Sport Football Rugby Swimming (Frequency) 4 5 1 Food Ford Honda Nissan Ferrari (Frequency) 8 12 16 4 Use the template to complete a pie chart. Remember to label it! Use the template to complete a pie chart showing this information. 2. 20 students were asked about their favourite food. 60 teachers were surveyed to see what phone they had. Complete the table to see what angle each category would have in a pie chart. 4. Food Chips Pasta Burgers Salad (Frequency) 4 8 2 6 Company Frequency Calculation Angle Samsung 20 Sony 12 Apple 18 HTC 10 Use the template to complete a pie chart showing this information.

Answers Ferrari Swimming Ford Football Nissan Honda Rugby Chips Salad 1. 3. 10 students were asked about their favourite sport. 40 teachers were surveyed to see what car they drove. Sport Football Rugby Swimming (Frequency) 4 5 1 Food Ford Honda Nissan Ferrari (Frequency) 8 12 16 4 Ferrari Use the template to complete a pie chart. Remember to label it! Use the template to complete a pie chart showing this information. Swimming Ford Answers Football Nissan Honda Rugby 2. 20 students were asked about their favourite food. 60 teachers were surveyed to see what phone they had. Complete the table to see what angle each category would have in a pie chart. 4. Food Chips Pasta Burgers Salad (Frequency) 4 8 2 6 Company Frequency Calculation Angle Samsung 20 120° Sony 12 72° Apple 18 108° HTC 10 60° Use the template to complete a pie chart showing this information. Chips Answers Salad Pasta Burgers

1. 3. 40 students were asked about their favourite colour. 140 students were asked for their favourite hobby. Colour Red Green Yellow Blue Frequency 4 8 12 16 Hobby Computer TV Dance Music Acting Frequency 33 42 22 27 16 Complete the table below to calculate the angle for each category. Use the angles to draw a pie chart. Label the pie chart. Complete a pie chart to show this information 4. 400 people were asked about their favourite type of TV program. Company Frequency Calculation Angle Red Green Yellow Blue Program Drama Sport Quiz Shows Music News Wildlife Frequency 130 84 ? 36 38 72 Complete a pie chart to show this information 5. A restaurant asked 600 customers about whether they would come back. Their answers are shown below. 2. Don’t Know 138° Certainly 90° 90 students were asked how many siblings they had. No. of Siblings Zero One Two Three 4+ Frequency 28 24 18 12 8 Maybe 60° No Complete a table to calculate the angle for each category. Use the angles to draw a pie chart. Label the pie chart. a) In a table, show how many people gave each response. b) What percentage said they wouldn’t come back?

Answers 36° 72° 108° 144° 85° 108° 57° 69° 41° 117° 76° 36° 32° 34 65° 1. 3. 40 students were asked about their favourite colour. 140 students were asked for their favourite hobby. Colour Red Green Yellow Blue Frequency 4 8 12 16 Hobby Computer TV Dance Music Acting Frequency 33 42 22 27 16 85° 108° 57° 69° 41° Complete the table below to calculate the angle for each category. Use the angles to draw a pie chart. Label the pie chart. Complete a pie chart to show this information Answers 4. 400 people were asked about their favourite type of TV program. Company Frequency Calculation Angle Red 36° Green 72° Yellow 108° Blue 144° Program Drama Sport Quiz Shows Music News Wildlife Frequency 130 84 40 36 38 72 Complete a pie chart to show this information 117° 76° 36° 32° 34 65° 5. A restaurant asked 600 customers about whether they would come back. Their answers are shown below. 150 2. Certainly 90° 90 students were asked how many siblings they had. Don’t Know 138° Answers 230 No. of Siblings Zero One Two Three 4+ Frequency 28 24 18 12 8 Maybe 60° No 72° 100 120 Complete a table to calculate the angle for each category. Use the angles to draw a pie chart. Label the pie chart. 112° 96° 72° 48° 32° a) In a table, show how many people gave each response. b) What percentage said they wouldn’t come back? 20%

Check your success! I can complete a table to show the angles for categories. I can draw a pie chart using values. I can draw a pie chart from a frequency table.

Check your success! I can complete a table to show the angles for categories. I can draw a pie chart using values. I can draw a pie chart from a frequency table. Rate your effort this lesson: