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© Boardworks Ltd of 38 D4 Moving averages and cumulative frequency Maths Age 14-16
© Boardworks Ltd of 38 Contents A A A A A D4.5 Box-and-whisker diagrams D4 Moving averages and cumulative frequency D4.3 Cumulative frequency D4.2 Plotting moving averages D4.1 Moving averages D4.4 Using cumulative frequency graphs
© Boardworks Ltd of 38 A box-and-whisker diagram A box-and-whisker diagram, or boxplot, can be used to illustrate the spread of the data in a given distribution using the highest and lowest values, the median, the lower quartile and the upper quartile. These values can be found from a cumulative frequency graph. Time in seconds Cumulative frequency For example, for this cumulative frequency graph showing the results of 100 people holding their breath, Minimum value = 30 Lower quartile = 42 Median = 47 Upper quartile = 51 Maximum value = 60
© Boardworks Ltd of 38 A box-and-whisker diagram The corresponding box-and-whisker diagram is as follows: 30 Minimum value 42 Lower quartile 47 Median 51 Upper quartile 60 Maximum value
© Boardworks Ltd of 38 Lap times James takes part in karting competitions and his Dad records his lap times on a spreadsheet. The track is 1108 metres long. James’ fastest time in a race was 51.8 seconds. In which position in the list would the median lap time be? In 2004, 378 of James’ lap times were recorded. There are 378 lap times and so the median lap time will be the th value ≈ 190 th value
© Boardworks Ltd of 38 Lap times In which position in the list would the lower quartile be? There are 378 lap times and so the lower quartile will be the th value ≈ 95 th value In which position in the list would the upper quartile be? There are 378 lap times and so the upper quartile will be the 284 th value th value ≈ 3 ×
© Boardworks Ltd of 38 Lap times at Shenington karting circuit James’ lap times are displayed in the following cumulative frequency graph. Lap times in seconds Cumulative frequency
© Boardworks Ltd of 38 Box and whisker plot for James’ race times What conclusions can you draw about James’ performance? 52 Minimum value 53 Lower quartile 54 Median 58 Upper quartile 91 Maximum value
© Boardworks Ltd of 38 Comparing sets of data Here are box-and-whisker diagrams representing James’ lap times and Shabnum’s lap times. Who is better and why? James’ lap times Shabnum’s lap times
© Boardworks Ltd of 38 D4 Moving averages and cumulative frequency KS4 Mathematics.
© Boardworks Ltd of 38 D4 Moving averages and cumulative frequency Maths Age
Cumulative frequency Cumulative frequency table Cumulative frequency graph.
Cumulative frequency Constructing a cumulative frequency table Using a cumulative frequency graph to construct a box and whisker diagram.
Cumulative Frequency and Box Plots. Learning Objectives To be able to draw a cumulative frequency curve and use it to estimate the median and interquartile.
The projected population of the U.K. for 2005 ( by age ) The boxOne whisker The other whisker The box can be any depth. median minimum age maximum age.
Box and Whisker Plots. Vocabulary To make a box and whisker plot, we break the data in quartiles. The ________________ _________________ is the median.
MM2D1: Using sample data, students will make informal inferences about population means and standard deviations b. Understand and calculate the means and.
BOX PLOTS (BOX AND WHISKERS). Boxplot A graph of a set of data obtained by drawing a horizontal line from the minimum to maximum values with quartiles.
How to draw and use….. Cumulative frequency graphs.
Starter 1.Find the median of Find the median of Calculate the range of Calculate the mode.
CHAPTER 39 Cumulative Frequency. Cumulative Frequency Tables The cumulative frequency is the running total of the frequency up to the end of each class.
EXAMPLE 1 Make a box-and-whisker plot SONG LENGTHS The lengths of songs (in seconds) on a CD are listed below. Make a box-and-whisker plot of the song.
© Boardworks of 10 Histograms. © Boardworks of 10 What is a histogram? You might recognize this type of graph. It is a bar graph. The height.
5 Number Summary Box Plots. The five-number summary is the collection of The smallest value The first quartile (Q 1 or P 25 ) The median (M or Q 2 or.
Continued… Obj: draw Box-and-whisker plots representing a set of data Do now: use your calculator to find the mean for 85, 18, 87, 100, 27, 34, 93, 52,
Box Plots Show the Spread of Data BOX PLOT NOTES.
Box And Whisker Plots BY: Katie Benson Stephanie Ko Natalie Zglinicki.
Box and Whisker Plots/Graphs Used to show data Broken up into 4 quarters or quartiles. Uses a number line Need to find 5 numbers in order to create.
Creating a Box-and-Whisker Plot O To create your own box-and-whisker plot, you must first find the following values. Lowest Value Lower Quartile Median.
Box and Whisker Plots Example: Comparing two samples.
Quartiles + Box and Whisker Plots. Quartiles Step 1: Find the Median. This is called Q2, or the second quartile. Step 2: Split the first half into 2 equal.
1 Menu 2 Box and Whisker Diagrams. 12, 18, 32, 40, 45, 60, 70, 90, 94 Lowest Value = 12 Highest Value = 94 Median = 45Upper Quartile = 80 Lower Quartile.
Do Now: What information can you derive from a box plot? How is that information displayed? Click when ready
Quartiles & Extremes (displayed in a Box-and-Whisker Plot) Lower Extreme Lower Quartile Median Upper Quartile Upper Extreme Back.
© Boardworks of 13 Cumulative frequency. © Boardworks of 13 Cumulative frequency tables A cumulative frequency table is used to record the.
Cumulative Frequency A cumulative frequency polygon shows how the cumulative frequency changes as the data values increase. The data is shown on a continuous.
Unit 18 Measures of Variation Cumulative Frequency.
Sample Box-and-Whisker Plot lower extreme, or minimum value 1st quartile, the median of the lower half of the data set 2nd quartile, the median of the.
Box and Whisker Plots This data shows the scores achieved by fifteen students who took a short maths test. The test was marked out of.
Mathematical Studies for the IB Diploma Second Edition © Hodder & Stoughton Ltd Box and whisker plots.
Vocabulary to know: *statistics *data *outlier *mean *median *mode * range.
BOX PLOTS/QUARTILES. QUARTILES: 3 points in a set of data that separate the set into 4 equal parts. Lower Quartile: Q1 (The median for the lower half.
Box and Whisker Plots. Introduction: Five-number Summary Minimum Value (smallest number) Lower Quartile (LQ) Median (middle number) Upper Quartile (UP)
Box-and-Whisker Plots Making and Interpreting Box-and-Whisker Plots Becky AfghaniLBUSD Math Office2003.
Cumulative Frequency, Box Plots, Percentiles and quartiles. 6.4.
Median, Quartiles, Inter-Quartile Range and Box Plots. Measures of Spread Remember: The range is the measure of spread that goes with the mean. Mean =
Ms. Drake 7th grade Math Measures of Central Tendency Lesson 7 Box and Whisker Plots.
6.8 Compare Statistics from Samples MM1D3a: Compare summary statistics (mean, median, quartiles, and interquartile range) from one sample data distribution.
Box and Whiskers Plots (Box Plots)..\..\..\..\Program Files\Pearson Prentice Hall\Lesson PowerPoint\PH Pre-Algebra 2009 Lesson PowerPoint\PH Pre-Algebra.
Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.
Cumulative Frequency Diagrams & Box Plots OCR Stage 8.
+ Review for Quarter 4 Test 2 LIII. Central Tendency LIV. Graphs.
WEEK 2 ( SEPTEMBER 2013) Unit 1 Data and Technology.
1 Further Maths Chapter 2 Summarising Numerical Data.
© Boardworks Ltd of 61 © Boardworks Ltd of 61 A2-Level Maths: Statistics 2 for Edexcel S2.2 Continuous random variables This icon indicates.
Single middle value The Median The median is the middle value of a set of data once the data has been ordered. Example 1. Robert hit 11 balls at Grimsby.
Texas Algebra I Unit 3: Probability/Statistics Lesson 28: Box and Whiskers plots.
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