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Take out the homework from last night then do, Warm up #1

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Mean, Median, Mode, Range and Outlier

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Learning Targets For a given set of data: LT # 3: I can find the mean. LT #4: I can find the median. LT #5: I can find mode. LT #6: I can find the range. LT #7: I can find the outlier and determine its effect on the mean. LT #8: I can find the minimum and maximum of a data set.

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For Learning to Happen! Take out a calculator. Be sure you have a whiteboard and pen Calcs okay for math practice/homework, but NOT on the test.

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Vocabulary Review Sum – the answer to an addition problem. Addend – the numbers you add together to get the sum. 6 + 9 = 15

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Definition Mean Means Average

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Mean is found by evening out the numbers 2, 5, 2, 1, 5

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Mean is found by evening out the numbers 2, 5, 2, 1, 5

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Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3

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How to Find the Mean of a Group of Numbers Step 1 – Add all the numbers. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96

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How to Find the Mean of a Group of Numbers Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 How many addends are there?

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How to Find the Mean of a Group of Numbers Step 2 – Divide the sum by the number of addends. 6)6) 96 sum# of addends 16

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Is 16 a reasonable average for this set of numbers? 8, 10, 12, 18, 22, 26

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What is the mean of these numbers? 26, 33, 41, 52 38

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Definition Median is in the Middle

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Definition Median Median – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7

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How to Find the Median in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

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How to Find the Median in a Group of Numbers Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

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How to Find the Median in a Group of Numbers Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28

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How to Find the Median in a Group of Numbers Step 3 – If there are two middle numbers, find the mean of these two numbers. 21+ 25 = 46 2)2) 23 median

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What is the median of these numbers? 29, 8, 4, 11, 19 11 4, 8, 11, 19, 29

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What is the median of these numbers? 31, 7, 2, 12, 15, 19 13.5 2, 7, 12, 15, 19, 31 12 + 15 = 27 2)2) 27.0 -26 10

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Definition Mode is the Most Most Popular

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Definition Mode Mode – the number that appears most frequently in a set of numbers. 1, 3, 7, 10, 13 Mode = 1

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How to Find the Mode in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 19, 21, 24

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How to Find the Mode in a Group of Numbers Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 18, 19, 21, 24

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Which number is the mode ? 29, 8, 4, 8, 19 8 4, 8, 19, 29

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Which number is the mode ? 1, 2, 2, 2, 9, 9, 4, 9, 10 2 and 9 1, 2, 4, 9, 10

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Definition Range is the the difference between the largest and the smallest number. Remember DIFFERENCE DIFFERENCE mean subtract !

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Definition Range Range – the difference between the greatest and the least value in a set of numbers. 1, 3, 7, 10, 13 Range Range = 12

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How to Find the Range in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

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How to Find the Range in a Group of Numbers Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

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How to Find the Range in a Group of Numbers Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, 27 27 – 18 = 9 The range is 9

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What is the range ? 29, 8, 4, 8, 19 29 – 4 = 25 4, 8, 19, 29

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OUTLIER An outlier is a number that is much higher or much lower than the other numbers 3, 6, 4, 58, 1, 7, 3. Look at these numbers. What is the outlier ? 58

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THE END Take Out Your Learning Targets

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Measures of Central Tendency Mean - the average. Add the values and divide by the number of the numbers. Median - the middle number. All the numbers must be in order. Mode - the most common number. The number you see the most. Range - the largest number minus the smallest number. LT # 3 - 6

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OUTLIER An outlier is a number that is much higher or much lower than the other numbers. 36 70 7 =10 34 6 = 5.6 The outlier increased the mean 3, 9, 4, 36, 8, 7, 3 1) What is the outlier ? 2) Find the mean of all the numbers 3) Find the mean without the outlier. 4) How did the outlier affect the mean ? LT # 7

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Minimum & Maximum The minimum of a data set is the lowest value. The maximum of a data set is the highest value. Find the minimum and maximum of the following data set: 5, 6, 7, 7, 7, 8, 9, 11, 14, 16, 19, 22 MinimumMaximum

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10 12 13 14 15 Mean = 133 10 Median = Mode =14 sum # = 14 + 14 2 Range = Maximum – Minimum = 15 - 10 =5 LT #3 – 6 Sum = 10 + 12 + 12+ 13 + 14 + 14 + 14 + 14 + 15 + 15 = 133 10, 12, 12, 13, 14, 14, 14, 14, 15, 15

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