MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Statistics Interpreting / Creating Bar & Line Graphs Spreadsheets.

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Statistics Interpreting / Creating Bar & Line Graphs Spreadsheets www.mathsrevision.com Calculations in Spreadsheets Reading Pie-Charts Stem and Leaf Diagrams Creating Pie-Charts Mean & Range Median & Mode Good Survey

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 8cm 5cm 2cm 4cm

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept Bar/Line Graphs www.mathsrevision.com Learning Intention Success Criteria 2.Be able to construct a Bar /Line Graph. 1.We are learning about the main points of Bar/Line Graphs and how to construct them. 1.Be able to read information from a Bar/Line Graph.

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Bar Graphs

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Bar Graphs Lets construct a Bar graph for the following table Remember graph has to be labelled and neat !

CatDogRabbitHamsterSnake 0 2 4 6 8 10 12 N u m b e r o f P u p i l s Pets

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Line Graphs

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Line Graphs Best Cars Cars R Us

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Line Graphs Lets construct a line graph for the following table Remember graph has to be labelled and neat !

MonTueWedThurFri 0 2 4 6 8 10 12 N u m b e r o f F l i e s Days

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch12 (page 118) www.mathsrevision.com Statistics

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Calculate values using Spreadsheets. 1.We are learning about the benefits of using Spreadsheets. 1.Understand the benefits of using Spreadsheets. Spreadsheet

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Spreadsheet Computer Suite Lesson using textbook questions

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Ch12 (page 121) www.mathsrevision.com Spreadsheet

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Calculate values using formulae within Spreadsheets. 1.We are learning how to create formulae using Spreadsheets. Spreadsheet

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Spreadsheet Computer Suite Lesson using textbook questions

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch12 (page 122) www.mathsrevision.com Spreadsheet

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 6h 2a

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr.Lafferty Maths Dept Pie Charts www.mathsrevision.com Learning Intention Success Criteria 2.Be able to construct a Pie Chart. 1.We are learning how to read simple Pie Charts and how to construct them. 1.Be able to read information from a Pie Chart.

26-Dec-15Created by Mr.Lafferty Maths Dept Pie Charts www.mathsrevision.com

26-Dec-15Created by Mr. Lafferty26 Pie charts can be thought of as circle graphs. Whole circle is divide into 10 equal pieces Pie Charts Count the number of parts the circle is divided into. 1 piece is equal to

26-Dec-15Created by Mr.Lafferty Maths Dept Pie Charts www.mathsrevision.com

26-Dec-15Created by Mr. Lafferty28 The pie chart shows the results of a class survey into favourite restaurant food. Chinese French Indian Italian Pie Charts ItalianFrench Write down the fraction of the class that choose ChineseIndian

26-Dec-15Created by Mr.Lafferty Maths Dept Pie Charts www.mathsrevision.com 50 people were asked what we there favourite holiday How many chose America Spain

26-Dec-15Created by Mr. Lafferty30 Whole circle is divide into 20 equal pieces Pie Charts Count the number of parts the circle is divided into. 1 piece is equal to The whole circle represents 100 bottles. How many bottles does 1 piece represent. 5

26-Dec-15Created by Mr.Lafferty Maths Dept Pie Charts www.mathsrevision.com What does each part stand for ? What fraction represents each mealtime ? There is 100 pupils in the survey? What is 1/20 of 100. How many people chose each mealtime?

Drawing Pie Charts In a survey, people were asked to indicate which one of five musical instruments they played. There were 90 people in the survey. Calculate how many people played each instrument. Guitar Violin Recorder Drum Keyboard 140 o 100 o 60 o 40 o 20 o

26-Dec-15Created by Mr. Lafferty33 Pie charts can be thought of as circle graphs. Whole circle is divide into 10 equal pieces Pie Charts Count the number of parts the circle is divided into. 1 piece is equal to

26-Dec-15Created by Mr. Lafferty34 Pie Charts worksheet 20 piece10 piece

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria Pie Charts 1.We are learning to display data in the form of a Pie-Chart. 1.Be able to calculate a fraction of 360 o. 2.Understand the process of constructing a Pie Chart.

26-Dec-15Created by Mr. Lafferty Maths Dept. Total Drawing Pie Charts – worksheet 1 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 Squash30 Worksheet Constructing a Pie Chart

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 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 Squash30

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Rugby 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 Squash30

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 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 Squash30 Rugby

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash30 Football 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

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 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 Squash30 Rugby Football

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Cricket 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 Squash30 Rugby Football

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash30 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

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash30 Ice Hockey Squash 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

26-Dec-15Created by Mr. Lafferty Maths Dept. Total300 Rugby Football Cricket Ice Hockey 75 90 45 60 Favourite Sport Squash30 90 o 108 o 54 o 72 o 36 o 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

Total Drawing Pie Charts – worksheet 2 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 Keyboard25

Total90 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 Keyboard25

Total90 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 Keyboard25

Total90 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 Keyboard25 Guitar

Total90 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 Keyboard25 Guitar Violin

Total90 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 Keyboard25 Guitar Violin Recorder

Total90 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 Keyboard25 Guitar Violin Recorder Drum Keyboard

Total90 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 Keyboard25 Guitar Violin Recorder Drum Keyboard 140 o 100 o 60 o 40 o 20 o

Drawing Pie Charts Worksheet 3 Total 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 Total120 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 Total120 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. Vanilla

Drawing Pie Charts Total120 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. Vanilla Banana

Drawing Pie Charts Total120 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. Banana Vanilla

Drawing Pie Charts Total120 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. Banana Vanilla Chocolate Strawberry

Drawing Pie Charts Total120 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. Banana Vanilla Chocolate Strawberry 39 o 66 o 84 o 171 o

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria Mean and Range 1. We are learning to calculate the mean and range for a set of data.. 1.Understand the terms mean and range. 2.Calculate mean and range for a set data and comment on the results.

26-Dec-15Created by Mr. Lafferty69 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 large; the values vary widely in size. When the range is small; the values are similar in size.

26-Dec-15Created by Mr. Lafferty70 Joanna1.621.411.351.201.15 Kirsty1.591.451.411.30 Here are the high jump scores for two girls in metres. 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 The range

26-Dec-15Created by Mr. Lafferty71 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. For example, the mean of 3, 6, 7, 9 and 9 is Mean = Sum of values Number of values

26-Dec-15Created by Mr. Lafferty72 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 Mean Range

26-Dec-15Created by Mr. Lafferty73 Here are some 1500 metre race results in minutes. It may be appropriate in research or experiments to remove an extreme value before carrying out analysis of results. 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? Extreme values and their effect on the mean

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 6 Ch12 (page 128) www.mathsrevision.com Mean and Range

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Calculate values for the Mean, Median, Mode and Range in a context. 1.We are learning the terms Mean Median, Mode and Range for a set of data. 1.Understand the differences between the terms Mean, Median, Mode and Range. Median and Mode

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com An average should indicate a “measure of central tendency” but should also indicate what the distribution of data looks like. This is why we have 3 different types of averages to consider 1.The Mean 2.The Median (put the data in order then find the MIDDLE value) 3.The Mode (the number that appears the most) Different Averages

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find the mean of the set of data 1, 1, 1, 1, 2, 3, 26 Can you see that this is not the most suitable of averages since five out of the six numbers are all below the mean of 5 Median and Mode For the above data the Median or Mode is a better average = 1 Mode = 1Median = 1

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Median and Mode Example : Find the mean, median, mode and range for the set of data. 10, 2, 14, 1, 14, 7 Mean = 48 6 = 8 Mode = 14 Range = H – L = 14 – 1 = 13 1, 2, 7, 10, 14, 14 Median = 7 + 10 2 = 8.5

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.We are learning to display data in the form of a Stem- Leaf Graph. 1. Be able Construct and understand the Key-Points of a Stem-Leaf Graph. Stem Leaf Graphs Construction of Stem-Leaf 2. Answer questions based on the graph.

Stem and Leaf Diagrams Stem and leaf diagrams are a pictorial way of showing statistics The important parts of a stem and leaf diagram are The Title The stem The leaves in order starting from the stem The number of items The key Class Maths Marks 12341234 0 2 2 6 8 3 4 5 9 9 0 0 2 6 8 9 9 0 4 5 n = 20 2 / 3 means a mark of 23

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Stem Leaf Graphs Construction of Stem and Leaf A Stem – Leaf graph is another way of displaying information : This stem and leaf graph shows the ages of people waiting in a queue at a post office 2468 3013 4445679 50349 61456 stem leaves Ages n = 20 Key : 2 4 means 24 How many people in the queue? How many people in their forties? 20 6

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Stem Leaf Graphs Construction of Stem and Leaf Example : Construct a stem and leaf graphs for the following weights in (kgs) : 12 2 3 4 5 stem leaves Weight (kgs) n = 20 Key : 2 3 means 23 2 1 0 3 39 22 011 1455 55 57 12405754551355153255 3215412140 2341295112 12121315152123293232 4040414151 5455555557

A group of students were asked how much pocket money they get. The results were. £6.60 £6.90 £6.20 £5.80 £7.40 £5.60 £6.70 £7.20 £6.10 £6.20 £5.90 £6.00 £7.20 £5.80 £6.30 Draw a Stem and Leaf diagram to show this 6 8 8 9 0 1 2 2 3 6 7 9 2 2 4 n = 156 / 2 means £6.20 5 6 7 Pocket money

Stem and Leaf diagrams can be used to compare 2 sets of data. To do this we draw a back to back stem and leaf diagram. 0123401234 9 8 8 5 3 9 4 4 5 2 0 6 4 3 1 1 0 7 3 3 6 8 9 1 2 2 2 5 5 8 0 0 1 1 6 7 3 7 7 1 Maths marks for class 1AMaths marks for class 1B n = 20 3/2 means a mark of 32 How many students in 1A had a mark of 31? How many students in 1B had a mark of 12? Which class appears to be best at Maths? 2 3 1A

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.We are learning the important details of a good survey. 1. Understand the important features of a good survey. Constructing a Survey 2. Create a good survey.

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com A Good Survey To make a good survey you need to think about.... Have you avoided being bias in your survey Will you use a tick box or questionnaire Discrete (countable) or Continuous (measureable) Presentation of your survey How will you present your results. Lets look at some examples

26-Dec-15Created by Mr. Lafferty92 www.mathsrevision.com Survey’s Good or Bad survey question MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

26-Dec-15Created by Mr. Lafferty96 www.mathsrevision.com Type of Data MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a Continuous (measurable) Discrete (countable) Discrete (countable)

26-Dec-15Created by Mr. Lafferty97 www.mathsrevision.com Harder Survey’s MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

26-Dec-15Created by Mr. Lafferty98 www.mathsrevision.com Presentation MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 8 Ch12 (page 132) www.mathsrevision.com Survey Have you updated your Learning Log ? Are you on Target ? I can ?

26-Dec-15Created by Mr. Lafferty100 From your survey sheet pick a question and survey 20 people and present your answers appropriately www.mathsrevision.com Survey MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Statistics Interpreting / Creating Bar & Line Graphs Spreadsheets.

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MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Statistics Interpreting / Creating Bar & Line Graphs Spreadsheets.

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Presentation on theme: "MNU 3-20a MTH 3-21a MTH 3-20b MTH 4-20b 26-Dec-15Created by Mr. Lafferty Maths Dept. Statistics Interpreting / Creating Bar & Line Graphs Spreadsheets."— Presentation transcript:

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