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Warm Up Solve the following: 1) 7 4 3 8 5 27 2) 87 19 68 48 3) 5 4) 9 7= Warm Up Solve the following: 1) 7 4 3 8 5 27 2) 87 19 68 48 3) 5 4) 9 7= 63 Mean, Median, Mode, and Range Mr. Swaner How we usually think of “averages” In baseball there are batting averages Your grade in a class is called an average Kobe Bryant averaged 29.2 points per game in 2010 The average weight of an adult male is 189.2 lbs The average life span of a human is 67.2 years Misleading There are many different types of average. Mean, median, and mode are all measurements of average. Definitions Mean: What we think of when we say average. Add up all the numbers and divide by how many we added together. Median The middle number if they are lined up consecutively. (1, 1, 2, 3, 5, 6, 6,) Mode The number that occurs most often. There can be more than one mode in a set, or no mode at all Range The difference between the highest value and the lowest value. (Subtract them) Outlier A value much higher or much lower than the rest of the data Mean Example: Find the mean 5 4 7 6 2 1 20 add up all the numbers divide by how many we added together. 20 4 The mean of this data set is 4 5 Try it out Find the mean 2 3 4 2 1 5 3 4 24 24 3 The mean of this data set is 3 8 Median Find the median (the middle) Remember, the numbers must be in order 1,3,5,7,8,9, 2, 4,9 Better? 1, 2,3, 4,5,7,8,9,9 The median of this set is 5 What if……. What if when I order the numbers from least to greatest, cross them out and end up with 2 numbers in the middle?????????? 2,3, 4,5,7,8,9,9 You have to find the mean of those two numbers (The number perfectly between both of them) 12 5 7 12 6 The median of this set of data is 6 2 Try it Put them in order first Find the median 7,5,9, 4, 2,1,6,8 1, 2, 4,5,6,7,8,9 5 6 11 You could have used division, or recognized that 5.5 is perfectly between 5 and 6. 11 5.5 2 The median is 5.5 Mode The number in the set that appears most often. (order does not matter.) 20, 22, 27, 22, 26, 20, 22,35 Mode The number in the set that appears most often. (order does not matter.) 20, 22, 27, 22, 26, 20, 22,35 22 appears three times. That is more often than any other number appears The mode of this set is 22 But What if……. But what if more than just one number shows up the most (they show up the same number of times) 56, 40, 42,56,58, 40 But What if……. But what if more than just one number shows up the most (they show up the same number of times) 56, 40, 42, 56, 58, 40 Both 56 and 40 showed up twice. That makes the mode BOTH 56 AND 40 If no number is duplicated then there is no mode Try Find the mode: 100,122,97,122,115,97,98,100 Try Find the mode: 100,122, 97,122,115, 97,98,100 100, 122, and 97 all showed up twice. The mode for this set of data is 97, 100, and 122. Range Find the range (subtract the smallest number from the largest number) 100,116, 230, 27,95,150, 25,174 Range Find the range (subtract the smallest number from the largest number) 100,116, 230, 27,95,150, 25,174 biggest smallest 230 25 205 The range is 205 Try Find the range 50, 27,12,33,19,84 50, 27,12,33,19,84 84 12 72 The range for this set is 72 Outlier Find the outlier 15, 22,34,172,12,18, 28 Outlier Find the outlier 15, 22,34,172,12,18, 28 Upper and Lower Extreme Just like they sound. The upper extreme is the largest number in the data set The lower extreme is the………………? Closure I am hiring new workers at my store. Before you start, I will let you decide which method you will use to determine your hourly wage. You can have the mean hourly wage, the median hourly wage, or the mode hourly wage of the current employees. Take out a sheet of paper and write your chosen method. Here are the current hourly wages 12, 15, 8, 8, 12, 35, 8, Get together with your partner, determine the mean, median, mode, and range. What was the best choice? Mean = $14 Median = $12 Mode = $8 Why is the mean so much more? Homework You are going to ask 10 people how many slices of regular crust, regular sized pizza they think they could eat if they were in a pizza eating competition. You can ask anyone you want. I just want you to record the data in a table and bring it to class tomorrow. Here is an example Example Male/Female # of slices 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

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posted: | 5/27/2013 |

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