15-Dec-15 Relative Frequency Reading Pie Charts Tables Charts & Graphs Constructing Pie Charts Cumulative Frequency Tables Dot Plots Cumulative Frequency Graphs Five Figure Summary Box Plots S5 Int2

15-Dec-15 Starter Questions S5 Int2

15-Dec-15 Tables Charts & Graphs Learning Intention Success Criteria 1.Know the term relative frequency. 1.To understand the term relative frequency. 2.Calculate relative frequency from data given. Relative Frequency S5 Int2

15-Dec-15 Tables Charts & Graphs Relative Frequency How often an event happens compared to the total number of events.CountryFrequency Relative Frequency France180 Italy90 Spain90 Total Example : Wine sold in a shop over one week 180 ÷ 360 = 90 ÷ 360 = 90 ÷ 360 = Relative Frequency always added up to 1 S5 Int2

15-Dec-15 Tables Charts & Graphs Relative Frequency How often an event happens compared to the total number of events.BoysGirlsTotalFrequency Relative Frequency Example Calculate the relative frequency for boys and girls born in the Royal Infirmary hospital in December Relative Frequency Relative Frequency adds up to 1 S5 Int2

15-Dec-15 Now try Exercise 1 Ch10 (page 138) Tables Charts & Graphs Relative Frequency S5 Int2

15-Dec-15 Starter Questions Starter Questions S5 Int2

15-Dec-15 Learning Intention Success Criteria Pie Charts Reading Pie Charts 1. To interpret information from Pie Charts. 1.Find the relative frequency for an angle with in a Pie Chart. 2.Use relative frequency to interpret Pie Chart information. S5 Int2

15-Dec-159 Pie charts can be thought of as circle graphs. Reading Pie Charts 1.Work out relative frequency of each angle. 2.Then multiply by the total amount that the circle represents. Two step process

15-Dec-1510 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 72 o 36 o Milk Squash 144 o 108 o Coffee Pie Charts Milk Squash Use the two step process Coffee Tea

15-Dec-15 Now try Exercise 2 Ch10 (page 140) Tables Charts & Graphs Reading Pie Charts S5 Int2

15-Dec-15 Starter Questions Starter Questions S5 Int2 A B C 8cm 53 o 70 o 4cm 2cm 3cm 29 o

15-Dec-15 Learning Intention Success Criteria Pie Charts Constructing Pie Charts 1. To construct an accurate Pie-Chart from a given table using fractions of 360 o. 1.Find fractions of 360 o. 2.Use these fractions to construct a Pie Chart given in a table. S5 Int2

15-Dec-15. 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 Favourite Sport Squash30

15-Dec-15 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 Favourite Sport Squash30

15-Dec-15 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 Favourite Sport Squash30 Rugby

15-Dec-15. Total300 Rugby Football Cricket Ice Hockey 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

15-Dec-15 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 Favourite Sport Squash30 Rugby Football

15-Dec-15 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 Favourite Sport Squash30 Rugby Football

15-Dec-15 Total300 Rugby Football Cricket Ice Hockey 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

15-Dec-15 Total300 Rugby Football Cricket Ice Hockey 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

15-Dec-15 Total300 Rugby Football Cricket Ice Hockey 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

15-Dec-15 Total 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 Favourite Sport Squash30 Worksheet Constructing a Pie Chart

15-Dec-15 Now try Exercise 3 Ch10 (page 141) Constructing Pie Charts S5 Int2

15-Dec-15 Starter Questions Starter Questions S5 Int2

15-Dec-15 Learning Intention Success Criteria 1.Add a third cumulative column to a frequency table. 1. To explain how to construct a cumulative Frequency Table. Cumulative Frequency Tables S5 Int2

15-Dec-15 You have 1 minute to come up with a question you can easily answer from the table. Example : This table shows the number of cars sold by a motor dealership 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 Cum. Freq. Total so far Cumulative Frequency Tables S5 Int2

15-Dec-15 Cumulative Frequency Tables S5 Int2 Construct a cumulative frequency table for this data FrequencyC. Freq. Total Shoe Size minute to come up with a question

15-Dec-15 Now try Exercise 4 Ch10 (page 143) Cumulative Frequency Tables S5 Int2

15-Dec-15 Starter Questions Starter Questions S5 Int2 Waist SizesFrequency 28”7 30”12 32”23 34”14

15-Dec-15 Learning Intention Success Criteria 1.Be able to construct a cumulative frequency graph. 1. To show how to construct a cumulative frequency graph from cumulative frequency table. Cumulative Frequency Tables S5 Int2

Cumulative Frequency Graphs How to draw a cumulative frequency graph S5 Int2

Km travelled on 1 gallon (mpg) Frequency Cumulative Frequency How to construct a Cumulative Frequency Graph Plot S5 Int2

Write down a question you could ask about this graph. Cumulative Frequency Graphs Sometimes called an S – curve graph S5 Int2

15-Dec-15 Now try Exercise 5 Ch10 (page 145) S5 Int2 Cumulative Frequency Graphs

15-Dec-15 Starter Questions Starter Questions S5 Int2 10cm 90 o

15-Dec-15 Learning Intention Success Criteria 1.Be able to construct a dot and identify the key features of various plots. 1. To show how to construct a dot plot and identify key feature.. Dot Plot S5 Int2

Dot Plot Dot plots are a very simple yet useful way of getting a feel for data using the number line. S5 Int2

Dot Plot S5 Int2 Example :A group of students measure their pulse rates when resting. The rates are 66, 69, 62, 58, 74, 56, 67, 72, 61, 62, Write down as many key points that you can deduce from the plot. 1.Lowest value is 56 BPM. 2.Highest value is 74 BPM. 3.Mode is Median is also Distribution is fairly flat.

Dot Plot S5 Int2 Common expressions for various dot plots. Symmetrical distributionWidely spread out distribution Uniform distributionTightly clustered distribution Skewed to the right distributionSkewed to the left distribution By looking at the shape of the distribution try and describe the 6 types we have.

15-Dec-15 Now try Exercise 6 Ch10 (page 147) S5 Int2 Dot Plot

15-Dec-15 Starter Questions Starter Questions S5 Int2 33 o

15-Dec-15 Learning Intention Success Criteria 1.Understand the terms L, H, Q 1, Q 2 and Q To explain the meaning and show how to workout the five summary information for a set of data. S5 Int2 Five Figure Summary 2.Be able to work L, H, Q 1, Q 2 and Q 3 For a set of data

When a set of numbers are put in ORDER, it can be summarised by quoting five figures. S5 Int2 Five Figure Summary 1. The highest number(H) 2. The lowest number(L) 3. The median, the number that halves the list (Q 2 ) 4. The upper quartile, the median of the upper half (Q 3 ) 5. The lower quartile, the median of the lower half (Q 1 )

15-Dec-15 S5 Int2 Five Figure Summary Example Find the five figure summary for the data. 2, 4, 5, 5, 6, 7, 7, 7, 8, 9, 10 L = Q 3 = Q 2 = Median (middle value) Q 2 = H = Q 1 = The 11 numbers are already in order ! Q 3 = upper middle value Q 1 = lower middle value

15-Dec-15 S5 Int2 Five Figure Summary Example Find the five figure summary for the data. 2, 4, 5, 5, 6, 7, 7, 8, 9, 10 L = Q 3 = Q 2 = Median (middle value) Q 2 = H = Q 1 = The 10 numbers are already in order ! Q 3 = upper middle value Q 1 = lower middle value

15-Dec-15 S5 Int2 Five Figure Summary Example Find the five figure summary for the data. 2, 4, 5, 5, 6, 7, 8, 9, 10 L = Q 3 = Q 2 = Median (middle value) Q 2 = H = Q 1 = The 9 numbers are already in order ! Q 3 = upper middle value Q 1 = lower middle value

15-Dec-15 Now try Exercise 7 Ch10 (page 150) S5 Int2 Five Figure Summary

15-Dec-15 Starter Questions Starter Questions S5 Int2

15-Dec-15 Learning Intention Success Criteria 1.Be able to construct a box plot using the five figure summary data. 1. To show how to construct a box plot using the five figure summary. S5 Int2 Box Plot

Two middle values so take the mean. Averages (The Median) The median is the middle value of a set of data once the data has been ordered. Example 1. Robert hit 12 balls at Grimsby driving range. The recorded distances of his drives, measured in yards, are given below. Find the median distance for his drives. 85, 125, 130, 65, 100, 70, 75, 50, 140, 135, 95, 70 Median drive = 90 yards 50, 65, 70, 70, 75, 85, 95, 100, 125, 130, 135, 140 Ordered data

Finding the median, quartiles and inter-quartile range. 12, 6, 4, 9, 8, 4, 9, 8, 5, 9, 8, 10 4, 4, 5, 6, 8, 8, 8, 9, 9, 9, 10, 12 Order the data Inter- Quartile Range = 9 - 5½ = 3½ Example 1: Find the median and quartiles for the data below. Lower Quartile = 5½ Q1Q1 Upper Quartile = 9 Q3Q3 Median = 8 Q2Q2

Upper Quartile = 10 Q3Q3 Lower Quartile = 4 Q1Q1 Median = 8 Q2Q2 3, 4, 4, 6, 8, 8, 8, 9, 10, 10, 15, Finding the median, quartiles and inter-quartile range. 6, 3, 9, 8, 4, 10, 8, 4, 15, 8, 10 Order the data Inter- Quartile Range = = 6 Example 2: Find the median and quartiles for the data below.

Median Lower Quartile Upper Quartile Lowest Value Highest Value Box Whisker Boys Girls cm Box and Whisker Diagrams. Box plots are useful for comparing two or more sets of data like that shown below for heights of boys and girls in a class. Anatomy of a Box and Whisker Diagram.

Lower Quartile = 5½ Q1Q1 Upper Quartile = 9 Q3Q3 Median = 8 Q2Q , 4, 5, 6, 8, 8, 8, 9, 9, 9, 10, 12 Example 1: Draw a Box plot for the data below Drawing a Box Plot.

Upper Quartile = 10 Q3Q3 Lower Quartile = 4 Q1Q1 Median = 8 Q2Q2 3, 4, 4, 6, 8, 8, 8, 9, 10, 10, 15, Example 2: Draw a Box plot for the data below Drawing a Box Plot

Upper Quartile = 180 Q3Q3 Lower Quartile = 158 Q1Q1 Median = 171 Q2Q2 Question: Stuart recorded the heights in cm of boys in his class as shown below. Draw a box plot for this data. Drawing a Box Plot. 137, 148, 155, 158, 165, 166, 166, 171, 171, 173, 175, 180, 184, 186, cm

2. The boys are taller on average. Question: Gemma recorded the heights in cm of girls in the same class and constructed a box plot from the data. The box plots for both boys and girls are shown below. Use the box plots to choose some correct statements comparing heights of boys and girls in the class. Justify your answers. Drawing a Box Plot Boys Girls cm 1. The girls are taller on average. 3. The girls show less variability in height. 4. The boys show less variability in height. 5. The smallest person is a girl 6. The tallest person is a boy

15-Dec-15 Now try Ex 8 & 9 Ch10 (page 152) S5 Int2 Box Plot