11.4centraltendencyandrange.notebook May 29, 2014

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1 Mean, Median, Mode, Range 1

2 Mean Mode Median Range 2

3 Measures of central tendency : ways to identify one number that characterizes a group of numbers?mean? median ? mode ? range 3

4 Mean the sum of a set of numbers divided by the total number of numbers in the set Example: 8, 10, 6, 9, 8, 7 Example underneath = = 8 Mean = 8 4

5 Mean Step 1: Add all the data. Sue's Test Scores TEST SCORE = 240 Step 2: Divide the sum by the number of addends = 80 Mean is 80 5

6 Mean Find the mean for each set of data , 20, 23, 24, , 109, 128, , 248, 691 Drag box to target to check answers. 6

7 Find the mean of the following two sets of data: Answer underneath Set #1 16, 20, 18, 14, Set #2 17, 31, 29, 42, 17, 36, Answer underneath 7

8 Mean (Average) To find the mean, you add up all the numbers and then divide by how many numbers you had. Find the mean of the set of numbers

9 Which sets will have a mean of 4? 2, 1, 4, 4, 7 3, 3, 6, 6 1, 5, 3 Drop correct sets in the basket. 4, 1, 4, 3 6, 2, 4, 0, 8 9

10 Median the middle number of a set of numbers (numbers must be put in order) mple rneath Example: 8, 10, 6, 9, 8, 7 6, 7, 8, 8, 9, 10 6, 7, 8, 8, 9, 10 6, 7, 8, 8, 9, 10 Median = 8 10

11 Median Magazines Sold Week Number Step 1: Arrange the numbers in order. 150, 160, 175, 180, 225 Step 2: Find the number in the middle. 150, 160, 175, 180, 225 The median is

12 Match the median with the correct set of data. Median Click to return to main menu. 12

13 Find the median of the following two sets of data: Answer underneath Set #1 16, 20, 18, 14, Set #2 17, 31, 29, 42, 17, 36, Answer underneath 13

14 Median special case What if there are two medians? 13, 7, 17, 19, 7, 15, 11, 7 7, 7, 7, 11, 13, 15, 17, 19 Find the mean of the two numbers: = 24 Divide by 2: 24 2 = 12 Median = 12 14

15 Median To find the median, first write the numbers in. order Then find the middle number or the average of the two middle numbers. Ex: Find the median of the set of numbers

16 Modethe number that appears most often Example underneath Example: 8, 10, 6, 9, 8, 7 8 appears 2 times in this set of data the other numbers only occur once Mode = 8 16

17 Mode Money Spent on Gifts Tony Name Kara Lisa Ray Jay Money $5 $9 $4 $6 $5 Step 1: Arrange the data in order from least to greatest. $4, $5, $5, $6, $9 Step 2: The mode is the number that occurs the most often. There may be one mode, more than one mode, or no mode. $4, $5, $5, $6, $9 MODE 17

18 Mode Find the MODE for each set of data. Drag the correct answer out of the answer box into the checker tool. Answer Boxes Checker Tools , 130, 100, 122, , 213, 315, 285, , 6, 5, 9, Click to return to main menu. 18

19 Find the mode of the following two sets of data: Answer Set #1 underneath 16, 20, 18, 14, 17, Set #2 17, 31, 29, 42, 17, 36, Answer underneath 19

20 You can also have no mode or more than one mode. If no number occurs more than once, there will be no mode. If more than one number occurs the most, there can be more than one mode. 4, 7, 2, 9, 5, 1, 0 No mode 11, 9, 3, 4, 2, 4, 9, 6, 7 Mode = 4 and 9 20

21 Range How do I find the range? Click star to see example. Step 1: Order the data from least to greatest. Step 2: Subtract the smallest number from the greatest number to find the range. 21

22 Range To find the range of a set of numbers, first put the numbers in order. Then subtract the smallest number from the largest number. Ex: Find the range of the set of numbers

23 Range the smallest number subtracted from the largest number Example underneath Example: 8, 10, 6, 9, 8, 7 Largest = 10 Smallest = = 4 Range = 4 23

24 Find the range of the following data set: 4, 6, 2, 8, 9, 3, 7, 5, 1 Step 1: 1, 2, 3, 4, 5, 6, 7, 8, 9 Step 2: 9 1=8 24

25 How do I find the range? Step 1: Order the numbers from least to greatest. Step 2: Subtract the smallest value from the largest value. Magazines Sold Week Number Step 1: 150, 160, 175, 180, 225 Step 2: =75 25

26 Range Test Scores Name Tony Kara Lisa Ray Jay Score Step 1: Order the data from least to greatest. 83, 85, 89, 95, 97 Step 2: Subtract the smallest number from the greatest number to find the range. smallest number 83, 85, 89, 95, =14 RANGE largest number 26

27 Find the range of the following two sets of data: Answer underneath Set #1 16, 20, 18, 14, 17 6 Set #2 17, 31, 29, 42, 17, 36, Answer underneath 27

28 pg #'s 1,2,4,5 8,11,22,23 28

29 pg #'s 1,2,4,5 8,11,22,23 Answers are in order of mean, median, mode, and range 1. 23,19,18, ,79.5,84, ,9,none, ,34,34,8 4. D % 5. 12,9,8, C ,14,none, J 29

30 Range Answer the 3 practice questions below. Click to return to main menu. 30

31 31

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