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**preview**shows page 1. to view the full**4 pages of the document.**C3: Measures of Central Tendency

Centre of the Distribution

Three common ways to measure the center of the distribution are:

Mean

Median

Mode: The value that occurs most frequently

Mean

Usually it is the sample mean

Sample mean is not the same of the population mean

Median

The middle value with half of the data above it and half below it

The value that falls in the middle after all the values been arranged in ascending order

Assume that there are n observations

If n is odd, the median is the value in the middle

If n is even, the median is the average of the two values in the middle

Example: Odd amount of numbers

5, 5, 6, 7, 9

Mode: 5

Mean: 6.4

Median: 6

Example: Even amount of numbers

1, 5, 5, 6, 7, 8

Mode: 5

Mean: 5.5

Median: 5.5 (5+6)/2

Example: 2, 4, 7, 1, 2, 30, 1, 3

1, 1, 2, 2, 3, 4, 7, 30

Mode: 1, 2

Mean: 6.375

Median: 2.5

Mean, median, mode are only same/similar if there's a symmetric distribution

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