9.2 - Measures of Central Tendency

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9.2 - Measures of Central Tendency Objective: TSW calculate the measures of central tendency for a set of data. © 2008 Pearson Addison-Wesley. All rights reserved

Measures of Central Tendency – “middle type number” Mean – the average also known as arithmetic mean. The mean of a sample is denoted (read “x bar”), while the mean of a complete population is denoted (the lower case Greek letter mu). The sum of… © 2008 Pearson Addison-Wesley. All rights reserved

© 2008 Pearson Addison-Wesley. All rights reserved Median – the middle number. This measure divides a group of numbers into two parts, with half the numbers below the median and half above it. Mode – most repeated number. Bimodal – two modes. © 2008 Pearson Addison-Wesley. All rights reserved

Example: Find the mean, median and mode for the following data. Ten students in a math class were polled as to the number of siblings in their individual families and the results were: 3, 2, 2, 1, 3, 6, 3, 3, 4, 2. Find the mode for the number of siblings. © 2008 Pearson Addison-Wesley. All rights reserved

Examples of Symmetry in Data Sets © 2008 Pearson Addison-Wesley. All rights reserved

Non-symmetric Distributions – skewed left or skewed right. © 2008 Pearson Addison-Wesley. All rights reserved

© 2008 Pearson Addison-Wesley. All rights reserved Homework Worksheet © 2008 Pearson Addison-Wesley. All rights reserved