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# Stattistic ii - mode, median, mean

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### Stattistic ii - mode, median, mean

1. 1. Chapter 4 Prepared By Norisah Mustaffa (COPYRIGHT RESERVED) B A 4.1 Pie Chart 4.2 Mode, Median and Mean 2/10/2014 80º 42 156º C 1
2. 2. 4.2 MODE, MEDIAN AND MEAN Mod, median and mean are three types of averages commonly used in statistics. These averages are also called the measures of central tendency. MODE A Determining The Mode For A Set Of Data Mode is the most common fact or value with the highest frequency in a set of data. Example 1: Find the mode for the numbers : 6, 3, 5, 6, 3, 8, 2, 6 and 9 Solution: Mode = 6, frequency = 3 The number 6 occurs thrice. All the other numbers occur not more then thrice. 6 is the highest frequency. 2/10/2014 2
3. 3. MODE A Determining The Mode For A Set Of Data Mode is the most common fact or value with the highest frequency in a set of data. Example 2: Find the mode(s) for the numbers : 3, 5, 0, 9, 1, 2 and 4. Solution: Mode = No mode Each number appears only once. Every number has the same frequency. 2/10/2014 3
4. 4. MODE B Determining The Mode And Its Corresponding Frequency From Pictograms, Bar Charts, Line Graphs And Pie Charts The Mode and its corresponding frequency in a set of data can be obtained from pictograms, bar charts, line graphs and pie charts. Number of Students 120  100 Solution: Mode is Gred C 80 Frequency of mode = 120 students 60 40 20 0 2/10/2014 A B C D Gred 4
5. 5. MEDIAN C Determining The Median For A Set Of Data Median is the middle value in a set of values arranged in order of magnitude. 1, 3, 5, 7, 9, 11….. For an odd number of values arranged in order of magnitude, the median is the middle value. Example: Find the median of the following data. 2, 5, 0, 7, 3, 1, 6, 7. Solution: Rearrange the data in asscending order. 3 is the middle, Hence, the median is 3 2/10/2014 5
6. 6. MEDIAN C Determining The Median For A Set Of Data Median is the middle value in a set of values arranged in order of 2, 4, 6, 8, 10….. magnitude. For an even number of values arranged in order of magnitude, the median is the mean of the two middle values. Example: Find the median of the following data. 15, 10, 9, 13, 26, 18, Solution: Rearrange the data in asscending order. 13 and 15 are the two middle values, Hence, the median is (13 + 15) 2 = 28 2 = 14 2/10/2014 6
7. 7. MEAN E Calculating The Mean For A Set Of Data 1. Method to calculate the mean for a set of data. Mean is the average value for a set of data. Mean = Sum of data values Number of values Example: Find the mean of the following data. 12, 24, 23, 24, 17, 20. Mean = 12 + 24 + 23 + 24 + 17 + 20 6 = 120 6 = 20 2/10/2014 7
8. 8. Thank You If at first you don't succeed ... transform your data set. 2/10/2014 8