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Learning Intention:
Learning Intention:
Sucess Criteria
Sucess Criteria
To understand how to calculate measures of central tendancy and spread of data sets presented in stem and leaf plots
To understand how to calculate measures of central tendancy and spread of data sets presented in stem and leaf plots
1. I can present the data from a stem and leaf or dot plot in an ordered list
1. I can present the data from a stem and leaf or dot plot in an ordered list
2. I can find the mean, median, mode and range of various data sets presented in stem and leaf or dot plots
2. I can find the mean, median, mode and range of various data sets presented in stem and leaf or dot plots
Dot plots
Dot plots
Dot plots contain values on a horizontal axis and a "dot" for each member of that group
Dot plots contain values on a horizontal axis and a "dot" for each member of that group
To find the mean and median we write the data as an ordered list
To find the mean and median we write the data as an ordered list
0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4 14, 14, 15, 15, 15, 16, 16, 18, 18
0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4 14, 14, 15, 15, 15, 16, 16, 18, 18
We can then use these lists to find the mean and median:
We can then use these lists to find the mean and median:
The mode and range are usually easy to see from these plots, as the highest, lowest values and most popular value are all visibly located
The mode and range are usually easy to see from these plots, as the highest, lowest values and most popular value are all visibly located
Mode: 2 Range : 4 Mode: 15 Range: 4
Mode: 2 Range : 4 Mode: 15 Range: 4
Stem and Leaf Plots
Stem and Leaf Plots
We use the same method for steam and leaf plots. Ordered list for mean and median, visible method for mode and range.
We use the same method for steam and leaf plots. Ordered list for mean and median, visible method for mode and range.
Mean = 25.3
Mean = 25.3
Median = 24.5
Median = 24.5
Mode = 23, 26 (bi-modal)
Mode = 23, 26 (bi-modal)
Range = 26
Range = 26
Some stem and leaf plots are "back to back" and you can be asked a variety of questions about them
Some stem and leaf plots are "back to back" and you can be asked a variety of questions about them
Mean (S1) = 12.14 Mean (S2) = 15.83
Mean (S1) = 12.14 Mean (S2) = 15.83
Median (S1) = 13 Median (S2) = 14
Median (S1) = 13 Median (S2) = 14
Mode: No mode for either set
Mode: No mode for either set
Range (S1) = 21 Median (S2) = 25
Range (S1) = 21 Median (S2) = 25
Mean (combined) = 13.85 Median (combined) = 13
Mean (combined) = 13.85 Median (combined) = 13
Mode (combined) = no mode Range (combined) = 27
Mode (combined) = no mode Range (combined) = 27
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