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Measures of Central Tendency Measure of central tendency – A value that represents the centre of a data set, can be the mean, median or mode. Data Set – A collection of numbers Ex: [9,13,12,8,8] is a data set Mean The “mean” is computed by adding all of the numbers in the data together and dividing by the number of elements contained in the data set. Example: Data Set = 2, 5, 9, 3, 5, 4, 7 Number of Elements in Data Set = Mean = Median The “median” of the data set depends on whether the number of elements in the data set is odd or even. Steps to find the median: 1. Reorder the data set from smallest to largest. 2. If the number of elements is odd the median is the middle number. 3. If the number of elements is even the median is the average of the two middle numbers. Median Example #1: Example #2: Find the median of the Find the median of the data set: data set: 9,13,12,8,8 6,2,7,19,13, 9 Written in increasing Written in increasing order = order = 8, 8, 9, 12, 13 2, 6, 7, 9, 13, 19 Median = 9 Median = (7+9) ÷ 2 = 8 Mode The mode for a data set is the element that occurs the most often. It is not uncommon for a data set to have more than one mode. Some sets have no mode. Example #1: [9,13,12,8,8] Mode = 8 Example #2: [6,2,7,19,13, 9] Mode = no mode Example #3: [2,2,6,8,7,9,8] Mode = 2 and 8
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