Statistics www mathsrevision com Mean Median Mode and

Statistics www. mathsrevision. com Mean, Median, Mode and Range of Data Set Class Intervals Frequency Tables Mean form a Frequency Table Cumulative Frequency Tables and Median Pie-Chart Stem and Leaf Diagrams Scatter Graphs Probability 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 4 cm 8 cm 5 cm 2 cm 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Different Averages Learning Intention 1. To define the terms Mean Median, Mode and Range for a set of data. Success Criteria 1. Know the terms Mean, Median, Mode and Range. 2. Work out values of Mean, Median, Mode and Range. 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Different Averages Find the mean of the set of data 1, 1, 2, 3, 36 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 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Different Averages 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) For the above data the Median or Mode is a better average = 1 11/2/2020 Created by Mr. Lafferty Maths Dept.

Different Averages www. mathsrevision. com Example : Find the mean, median, mode and range for the set of data. Range = Highest number – Lowest Number 10, 2, 7, 1, 15, 7 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Different Averages Now try Exercise 1 Ch 17 (page 73) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 2 a 6 h 11/2/2020 Created by Mr. Lafferty Maths Dept.

Class Intervals www. mathsrevision. com Frequency Tables Learning Intention 1. To explain how to construct and interpret Frequency Tables. 11/2/2020 Success Criteria 1. Construct Frequency Table 2. Interpret Frequency Table. Created by Mr. Lafferty Maths Dept.

Class Intervals www. mathsrevision. com Frequency Tables When a set of data is large, the numbers have to be grouped into “class intervals”. • Each interval must have the same number of values • Ideally, there should be between 6 to 10 intervals We will now construct a Frequency Table 11/2/2020 Created by Mr. Lafferty Maths Dept.

Choose suitable Class interval Class Intervals www. mathsrevision. com Frequency Tables Example : The test scores for a class Class are given below. Construct a Frequency Intervals Table for the results. 10 -19 12 15 21 71 55 56 78 11/2/2020 23 32 12 32 76 41 17 41 40 16 75 21 19 55 51 43 34 73 20 77 69 56 42 22 47 Created by Mr. Lafferty Maths Dept. Tally Frequency 6 20 -29 5 30 -39 3 40 -49 6 50 -59 5 60 -69 1 70 -79 6

Statistics www. mathsrevision. com Working Out Statistics Now try Exercise 2 Ch 43 (page 180) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Frequency Tables www. mathsrevision. com Working Out the Mean Learning Intention 1. To explain how to work out the mean by adding in a third column to a Frequency Table. 11/2/2020 Success Criteria 1. Add a third column to a frequency table. 2. Work out the mean from a frequency Table. Created by Mr. Lafferty Maths Dept.

Frequency Tables www. mathsrevision. com Working Out the Mean Example : This table shows the number No of of coins in the pockets of some children. Coins (x ) Adding a third column to this table will help us find the total number of coins and the ‘Mean’. 11/2/2020 Freq. (f) x (x) 1 5 5 x 1 =5 2 5 5 x 2 = 10 3 1 1 x 3=3 4 3 3 x 4 = 12 5 2 2 x 5 = 10 Totals 16 40 Created by Mr. Lafferty Maths Dept.

Frequency Tables www. mathsrevision. com Working Out the Mean Now try Exercise 3 Ch 17 (page 78) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Cumulative Frequency Tables www. mathsrevision. com Working Out The Median Learning Intention 1. To explain how to work out the median by adding in a third cumulative column to a Frequency Table. 11/2/2020 Success Criteria 1. Add a third cumulative column to a frequency table. 2. Work out the median from a Cumulative Frequency Table. Created by Mr. Lafferty Maths Dept.

Cumulative Frequency Tables www. mathsrevision. com Working Out The Median Example : This table shows the number of eggs laid by a clutch of chickens each day over a seven day period. A third column is added to keep a running total. This makes it easier to get the total number of items. You have 1 minute to come up with a question you can easily answer from the table. 11/2/2020 Created by Mr. Lafferty Maths Dept. Day Freq. (f) Cum. Freq. Total so far 1 2 2 2 3 5 3 1 6 4 6 12 5 5 17 6 8 25 7 4 29

Frequency Tables www. mathsrevision. com Working Out the Mean Now try Exercise 4 Ch 17 (page 80) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Pie Charts www. mathsrevision. com Constructing Pie Charts Learning Intention 1. To construct an accurate Pie-Chart from a given table using fractions of 360 o. 11/2/2020 Success Criteria 1. Find fractions of 360 o. 2. Use these fractions to construct a Pie Chart given in a table. Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 11/2/2020 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. Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. Ru gb y 11/2/2020 Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. Ru g b y 11/2/2020 Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. ll ba ot Fo Ru g b y 11/2/2020 Created by Mr. Lafferty Maths Dept.

Drawing Pie Charts 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 R by g u Rugby 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. l tba l 11/2/2020 Created by Mr. Lafferty Maths Dept. Foo Favourite Sport

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. R l tba l Created by Mr. Lafferty Maths Dept. Foo by g u t ke ic Cr 11/2/2020

Drawing Pie Charts Favourite Sport 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 Rug by Rugby 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. tb a ll o Fo Created by Mr. Lafferty Maths Dept. C r i c k et 11/2/2020

Drawing Pie Charts Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. Squash H by e Ic Rug tb a ll o Fo Created by Mr. Lafferty Maths Dept. ey C r i c k et k oc 11/2/2020

Drawing Pie Charts Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 Total 300 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. l l a b gb h cke k e t y C r ic Created by Mr. Lafferty Maths Dept. Squa s 11/2/2020 y o 108 o 90 36 o 54 o 72 o Ho t o Fo Ru Ice Favourite Sport

Worksheet Constructing a Pie Chart Favourite Sport Rugby 75 Football 90 Cricket 45 Ice Hockey 60 Squash 30 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. Total 11/2/2020 Created by Mr. Lafferty Maths Dept.

Statistics www. mathsrevision. com Working Out Statistics Now try Exercise 5 Ch 17 (page 81) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Stem Leaf Graphs www. mathsrevision. com Construction of Stem-Leaf Learning Intention 1. To construct a Stem-Leaf Graph and answer questions based on it. Success Criteria 1. Construct and understand the Key-Points of a Stem. Leaf Graph. 2. Answer questions based on the graph. 11/2/2020 Created by Mr. Lafferty Maths Dept.

Stem Leaf Graphs www. mathsrevision. com Construction of Stem and Leaf A Stem – Leaf graph is another way of displaying information : Ages This stem and leaf graph shows 2 4 6 8 the ages of people waiting in a 3 0 1 3 queue at a post office 4 4 4 5 6 7 9 5 0 3 4 9 How many people in the queue? 20 6 1 4 5 6 How many people in their forties? 6 leaves stem Key : 2 4 means 24 11/2/2020 Created by Mr. Lafferty Maths Dept.

Stem Leaf Graphs www. mathsrevision. com Construction of Stem and Leaf Example : Construct a stem and leaf graphs for the following weights in (kgs) : Weight (kgs) 12 21 12 13 15 32 40 1 5 23 41 40 55 32 29 55 51 1 2 2 3 5 5 2 1 3 9 3 2 2 4 0 0 1 1 57 41 57 55 5 stem 1 4 5 5 5 7 7 leaves Key : 2 3 means 23 11/2/2020 Created by Mr. Lafferty Maths Dept.

Statistics www. mathsrevision. com Mixed Problems Now try Exercise 6 Ch 17 (page 83) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Scattergraphs www. mathsrevision. com Construction of Scattergraphs Learning Intention 1. To construct a scattergraph and answer questions based on it. Success Criteria 1. Construct and understand the Key-Points of a scattergraph. 2. Know the term positive and negative correlation. 11/2/2020 Created by Mr. Lafferty Maths Dept.

This scattergraph shows the heights and weights of a sevens football team Write down height and Scattergraphs weight of each player. www. mathsrevision. com Construction of Scattergraph Bob Tim Sam Joe Gary Jim 11/2/2020 Created by Mr. Lafferty Maths Dept. Dave

Scattergraphs www. mathsrevision. com Construction of Scattergraph When two quantities are strongly connected we say there is a strong correlation between them. Best fit line x x x Strong positive correlation 11/2/2020 x x x Best fit line Strong negative correlation Created by Mr. Lafferty Maths Dept.

Draw in the best fit line Scattergraphs www. mathsrevision. com Construction of Scattergraph Price Age (£ 1000) 1 1 9 8 2 3 3 3 4 4 5 8 7 6 5 5 4 2 11/2/2020 St ro ng ne ga t ive Is there a correlation? If yes, what kind? co r re Created by Mr. Lafferty Maths Dept. lat ion

Scattergraphs www. mathsrevision. com Construction of Scattergraphs Now try Exercise 7 Ch 17 (page 85) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 55 11/2/2020 o 47 o x o Created by Mr. Lafferty Maths Dept.

Probability www. mathsrevision. com Likelihood Line Learning Intention 1. To understand the likelihood line and calculating simple probability. Success Criteria 1. Understand the term likelihood line and probability. 2. Decide where certain events should lie on the likelihood line. 3. Calculate simple probabilities. 11/2/2020 Created by Mr. Lafferty Maths Dept.

Probability www. mathsrevision. com Likelihood Line 0 Impossible Seeing a butterfly In July 11/2/2020 0. 5 Not very likely School Holidays Evens Winning the Lottery Created by Mr. Lafferty Maths Dept. 1 Very likely Baby Born A Boy Certain Go back in time

Probability www. mathsrevision. com Likelihood Line 0 Impossible It will Snow in winter 11/2/2020 0. 5 Not very likely Evens Homework Everyone getting Every week 100 % in test Created by Mr. Lafferty Maths Dept. 1 Very likely Certain Toss a coin Going without That land Food Heads for a year.

www. mathsrevision. com Statistics and Probability Now Round the Class Exercise 8 Ch 17 (page 87) 11/2/2020 Created by Mr. Lafferty Maths Dept.

Probability Calculating Probability www. mathsrevision. com Probability can be thought of as a simple fraction or decimal. It always lies between 0 and 1. 0 meaning impossible ( could not happen) 1 meaning certain ( will definitely happen) 11/2/2020 Created by Mr. Lafferty Maths Dept.

Probability www. mathsrevision. com Calculating Probability Example : A boy tossed a coin. What is the probability that it is heads. Example : There are 3 red and 4 green balls in a bag. What is the probability a green ball is picked. 11/2/2020 Created by Mr. Lafferty Maths Dept.

Probability www. mathsrevision. com Calculating Probability Now try Exercise 9 Ch 17 (page 87) 11/2/2020 Created by Mr. Lafferty Maths Dept.