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Mean, Mode, Median Distributions
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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

Jul 24, 2020

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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

Mean, Mode, MedianDistributions

Page 2: 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

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

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

Page 4: 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

First, sort.

Then, find the value in the middle.

If there are two in the middle, average them..

Page 5: 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

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
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

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
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
Page 10: 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
Page 11: 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
Page 12: 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
Page 13: 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
Page 14: 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
Page 15: 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
Page 16: 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

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