14th Mar 2010

Given the following set of data

  • {5,8,15,3,5,6,4,15,5} find the mean, median, and the mode.


  • Hello skeeter, The mean is 7 and one third (7.33), the median is 5 and the mode is also 5. To find the mean, you have to add up all the numbers and divide the total by the number of separate numbers that you have. In your example, you have 9 separate numbers, which together add up to 66. Therefore the mean is 66 divided by 9. 9 goes into 66 7 times (7 x 9 = 63), leaving 3 over. 3/9 (three ninths) can be divided top and bottom by 3 to make 1/3 (one third). Therefore, the mean is 7 and one third (or 7.33 recurring if you need the answer in decimals - recurring means that the 3s after the decimal point carry on for however many places you need). To find the median, you first need to arrange the numbers in order of size, which will give you 3,4,5,5, 5, 6,8,15,15 The median is the number that comes in the exact middle. You have nine separate numbers, so the number that comes 5th will have four numbers before it and four numbers after it - 3,4,5,5 * 5 * 6,8,15,15 Therefore the median is 5. The mode is the number that appears the most often. If you look at your set of numbers, you see that 5 appears three times, 15 appears twice, and the other numbers only appear once - 3, 4, * 5,5,5 * 6, 8, 15,15 Therefore the mode is also 5. You can find these explanations, with some more examples for practice at http://www.manatee.k12.fl.us/sites/elementary/palmasola/mathlabtutstat1.htm (web site of Palma Sola School, Bradenton, FL)


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