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CFU

Learning Objective Name __________________________ Today, we will compute the mean, median, and mode. CFU What are we going to do today? What are we going to compute? Activate (or provide) Prior Knowledge. Today, we will compute the mean, median, and mode of data sets.

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CFU

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  1. Learning Objective Name __________________________ Today, we will compute the mean, median, and mode. CFU What are we going to do today? What are we going to compute? Activate (or provide) Prior Knowledge Today, we will compute the mean, median, and mode of data sets. We will compute the mean, median, and mode of data sets. CFU Students, you have all seen an average, for example on a baseball card. On one side they have a picture of the player, and on the reverse side they have statistics that tell how well a player has played that year. The averages are determined by finding the mean. Today, we will compute the mean, median, and mode.

  2. Concept Development • Mean is the average number from a set of data. • Mean is found by adding all the values in the data set and then dividing by the number of items in the set. • Median is the middle number in a set of data. • Median is found by ordering the numbers in the data set from least to greatest and circling the middle number. • Modeis the most frequent number in a set of data. • Mode is found by determining which number in the set is listed most frequently. • Examples: • Data set: 45, 42, 43, 47, 58, 65, 43 • Order from least to greatest: 42, 43, 43, 45, 47, 58, 65 --------------------------------------------------------------------- CFU In your own words, what is the mean? The mean is _____________________. In your own words, what is the median? The median is ___________________. In your own words, what is the mode? The mode is ___________________. For which do you add all the values and divide by the number of items? How do you know? For which do you circle the most frequent number? How do you know? For which do you order the numbers and circle the middle value? How do you know? a. mean b. median c. mode

  3. Skill Development/Guided Practice Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 55, 58, 60, 60, 67 85, 85, 98, 100, 102 300 55 + 58 + 60 + 60 + 67 = 85 + 85 + 98 + 100 + 102 = 470 60 94 60 300 ÷ 5 = 470 ÷ 5 = 94 60 98 60 85 7, 8, 11, 12, 13, 13, 13, 19 10 + 24 + 50 + 50 + 76 + 125 + 175 + 210 = 10, 24, 50, 50, 76, 125, 175, 210 720 7 + 8 + 11 + 12 + 13 + 13 + 13 + 19 = 96 12 90 90 720 ÷ 8 = 12 96 ÷ 8 = 12.5 63 50 + 76 = 126 12 + 13 = 25 13 50 126 ÷ 2 = 63 25 ÷ 2 = 12.5 CFU How did I know which numbers to add together? How did I know what number to divide the sum by? How did I find the median? How did I find the mode? Do Step #1 and show. How did you know what numbers to add? Do Step #2… How did you know what number to divide the sum by? Do Step #3… How did you find the median? Do Step #4… How did you find the mode? Which step was the hardest for you? Why? Step #___ was the hardest for me because _________________.

  4. Skill Development/Guided Practice (continued) Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 72, 74, 74, 74, 75, 77, 79 99, 102, 102, 107, 108, 110, 114 525 72 + 74 + 74 + 74 + 75 + 77 + 79 = 75 525 ÷ 7 = 99 + 102 + 102 + 107 + 108 + 110 + 114 = 742 75 106 106 742 ÷ 7 = 107 74 102 74 80, 85, 95, 95, 95 60, 64, 64, 66, 66, 66, 69 450 80 + 85 +95 + 95 + 95 = 455 60 + 64 + 64 + 66 + 66 + 66 + 69 = 65 90 90 450 ÷ 5 = 455 ÷ 7 = 65 66 95 66 95 CFU How did I know which numbers to add together? How did I know what number to divide the sum by? How did I find the median? How did I find the mode? Do Step #1 and show. How did you know what numbers to add? Do Step #2… How did you know what number to divide the sum by? Do Step #3… How did you find the median? Do Step #4… How did you find the mode? Which step was the easiest for you? Why? Step #___ was the easiest for me because _________________.

  5. Importance Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. 1. Computing mean, median, and mode will help you organize values and determine the average or the most frequent value. 2. Computing mean, median, and mode will help you determine things like batting averages or test scores. 3. Computing mean, median, and mode will help you do well on tests CFU Does anyone else have another reason why it is important to compute the mean, median, and? (pair-share) Why is it important to compute the mean, median, and mode? You may give me one of my reasons or one of your own. Which reason is most important to you? Why?

  6. The mean is the average number from a set of data. Closure The median is the middle number in a set of data. 1. What is the mean? Median? Mode? 2. Compute the mean, median, and mode below. 3. What did you learn today about computing mean, median, and mode? Why is that important to you?(pair-share) The mode is the most frequent number in a set of data. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 45, 49, 65, 65, 66 290 45 + 49 + 65 + 65 + 66 = 58 58 290 ÷ 5 = 65 65

  7. Independent Practice Name ___________________________ Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 72, 75, 77, 89, 89, 91, 95 32, 33, 34, 34, 35, 35, 35 72 + 75 + 77 + 89 + 89 + 91 + 95 = 588 32 + 33 + 34 + 34 + 35 + 35 + 35 = 238 84 34 34 238 ÷ 7 = 84 588 ÷ 7 = 89 34 89 35 3 + 3 + 4 + 5 + 6 + 7 + 8 + 12 = 48 3, 3, 4, 5, 6, 7, 8, 12 15 + 17 + 23 + 25 + 25 + 30 + 31 + 34 = 15, 17, 23, 25, 25, 30, 31, 34 200 6 25 25 48 ÷ 8 = 6 200 ÷ 8 = 5.5 25 5 + 6 = 11 25 + 25 = 50 3 25 11 ÷ 2 = 5.5 50 ÷ 2 = 25

  8. Periodic Review 1 Name ___________________________ Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 54, 57, 59, 65, 65 43, 45, 45, 55 43 + 45 + 45 + 55 = 188 54 + 57 + 59 + 65 + 65 = 300 188 ÷ 4 = 47 47 60 60 300 ÷ 5 = 45 59 45 + 45 = 90 45 65 90 ÷ 2 = 45 18 1 + 2 + 3 + 3 + 4 + 5 = 1, 2, 3, 3, 4, 5 10 + 15 + 15 + 17 + 18 = 10, 15, 15, 17, 18 75 3 18 ÷ 6 = 15 75 ÷ 5 = 15 3 3 + 3 = 6 3 15 3 15 6 ÷ 2 = 3

  9. Periodic Review 2 Name ___________________________ Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 17, 22, 22, 25, 34, 36 34, 36, 38, 42, 45, 45, 50, 62 17 + 22 + 22 + 25 + 34 + 36 = 156 352 34 + 36 + 38 + 42 + 45 + 45 + 50 + 62 = 156 ÷ 6 = 26 44 26 652 ÷ 8 = 44 43.5 23.5 22 + 25 = 47 42 + 45 = 87 45 22 47 ÷ 2 = 23.5 87 ÷ 2 = 43.5 50 + 55 + 63 + 63 + 64 + 65 = 50, 55, 63, 63, 64, 65 360 4 + 5 + 6 + 7 + 7 + 8 + 12 = 49 4, 5, 6, 7, 7, 8, 12 60 7 360 ÷ 6 = 49 ÷ 7 = 60 7 63 7 63 + 63 = 126 63 126 ÷ 2 = 63 7

  10. Periodic Review 3 Name ___________________________ Mean is the average number from a set of data. Median is the middle number in a set of data. Modeis the most frequent number in a set of data. Compute the mean, median, and mode. Step #1: Order the numbers from least to greatest. Step #2: (Mean) Add all the values in the data set and then divide by the number of items. Step #3: (Median) Identify the middle number.(Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.) Step #4: (Mode) Identify the most frequent number in the data set. 85, 90, 94, 94, 94, 96, 98 6, 6, 8, 10, 14, 16 85 + 90 + 94 + 94 + 94 + 96 = 650 60 6 + 6 + 8 + 10 + 14 + 16 = 651 ÷ 7 = 93 10 93 60 ÷ 6 = 10 9 94 8 + 10 = 18 6 94 18 ÷ 2 = 9 75 + 78 + 90 + 90 + 97 = 430 75, 78, 90, 90, 97 5, 7, 8, 8, 11, 15 5 + 7 + 8 + 8 + 11 + 15 = 54 86 430 ÷ 5 = 9 54 ÷ 6 = 86 9 8 + 8 = 16 90 8 16 ÷2 = 8 90 8

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