Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf ·...
Transcript of Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf ·...
![Page 1: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/1.jpg)
Mean, Mode, MedianDistributions
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Measures of Central Tendency
Where is the middle?
What is the most representative
value?
How can we summarize a data
set in one number?
![Page 3: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/3.jpg)
Measures of Central Tendency
Median Mode Mean
• Middle-most value.
• Most frequently occurring value.
• Highest bar on bar graph.
• Add up the values and divide by the number
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First, sort.
Then, find the value in the middle.
If there are two in the middle, average them..
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For mean, add up the
values.
Then, divide by the count.
![Page 6: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/6.jpg)
![Page 7: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/7.jpg)
Measures of Central Tendency
Median Mode Mean
• Need to sort data, that’s a little hard to do.
• Not influenced by outliers.
• Sometimes not possible in the data set
• Useful for a small range or in bar graphs.
• Can be more than one• Eg. Clothing sizes
• Easy to calculate• Works for all data• Influenced by
outliers.
![Page 8: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/8.jpg)
![Page 9: Mean, Mode, Median - Gorski CompScigorskicompsci.ca/MDM4U/4_Dist/ppt_1_MeanMedianMode.pdf · 2019-10-25 · mode < median < mean. When the distribution is skewed left, you would find](https://reader033.fdocuments.net/reader033/viewer/2022042921/5f6bd964e686e776ed0709ed/html5/thumbnails/9.jpg)
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Mark Calculation:When you calculate marks, you want to find the grade that is most representative of the student.
If marks are required to be calculated by average, which students benefit and which do not?
If marks are required to be calculated by mode, which students benefit and which do not?
A B
C D