Box Plots and Scatter Graphs for Data Analysis
Learn how to utilize box plots and scatter graphs to represent and compare large data sets effectively. Discover how to identify the five quartiles and measures of spread from a box plot, including quartiles Q0, Q1, Q2, Q3, Q4 and metrics such as the range and inter-quartile range.
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Presentation Transcript
How do we use box plots and scatter graphs to represent and compare large data sets? Reading from a Box Plot How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? The Knowledge Phase The Knowledge Phase A Box and Whisker plot is names because of how it looks (a box with whiskers either side) It is a statistical diagram used to display and compare discrete and continuous data. The statistics presented on a Box and Whisker plot are: Minimum Value Q0 Lower Quartile Q1 Median Q2 Upper Quartile Q3 Maximum Value Q4 Once these values have been obtained, we are then also able to calculate some measures of spread: The range (Q4 Q0) The Inter Quartile Range (Q3 Q1) How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? The Knowledge Phase The Knowledge Phase A Box and Whisker plot will look something like this: How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? I DO I DO From the box plot below, identify the 5 quartiles Q0 = 0.5 Q2 = 2.5 Q4 = 7.0 Q1 = 1.0 Q3 = 5.5 We DO We DO From the box plot below, identify the range Q0 = 10.5 Q4 = 20.0 Range = 20.0 10.5 = 9.5 You DO You DO From the box plot below, identify the inter- quartile range Q1 = 59.0 Q3 = 64.5 IQR = 64.5 59.0 = 5.5 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the minimum value State the minimum value 43 43 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the lower quartile State the lower quartile 47 47 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the median State the median 53 53 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the upper quartile State the upper quartile 54 54 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the maximum value State the maximum value 59 59 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY Calculate the range Calculate the range 16 16 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY Calculate the IQR Calculate the IQR 7 7 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the minimum value State the minimum value 40 40 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the lower quartile State the lower quartile 70 70 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the median State the median 85 85 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the upper quartile State the upper quartile 105 105 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the maximum value State the maximum value 110 110 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY Calculate the Range Calculate the Range 70 70 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY Calculate the IQR Calculate the IQR 35 35 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q0 0 1 1 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q1 1 2 2 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q2 2 4 4 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q3 3 5.5 5.5 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q4 4 8 8 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the range State the range 7 7 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the IQR State the IQR 3.5 3.5 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q0 0 0.25 0.25 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q1 1 0.5 0.5 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q2 2 2.25 2.25 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q3 3 2.75 2.75 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State Q State Q4 4 4.5 4.5 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the range State the range 4.25 4.25 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? MWB ACTIVITY State the IQR State the IQR 2 2.25 .25 How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? Practise Questions Exam Questions How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? The Knowledge Phase The Knowledge Phase As well as being able to identify the 5 quartiles from a box plot we can use the information can be used to talk about the distribution of the data We know that the lower quartile (Q1) is positioned a quarter of the way through the data We know that the median (Q2) is positioned half way through the data We know that the upper quartile (Q3) is positioned three quarters of the way through the data 25% of data is here is here 25% of data is here 25% of data is here 25% of data 50% of data is here 50% of data is here How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? I DO I DO From the box plot above, what percentage of data was 1 or below? 25% We DO We DO From the box plot above, what percentage of data was above 105? 25% You DO You DO From the box plot above, what percentage of data was below 73? 50% How do I identify the 5 quartiles and measures of spread from a box plot?
How do we use box plots and scatter graphs to represent and compare large data sets? Practise Questions Exam Questions How do I identify the 5 quartiles and measures of spread from a box plot?
