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3-1 6 th grade math

3-1 6 th grade math. Mean, Median, Mode and Range. Objective. To compute the mean, median, mode, and range of data sets

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3-1 6 th grade math

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  1. 3-16th grade math Mean, Median, Mode and Range

  2. Objective • To compute the mean, median, mode, and range of data sets • Why? To find the measures of central tendency as useful ways of analyzing a collection of data. To find out more about how the data works. To find out if the data together is statistically supportive.

  3. California State Standards SDP 1.1 : Compute the range, mean, median, and mode of data sets. SDP 1.4: Know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context. MR 1.0: To make decisions about how to approach problems.

  4. Vocabulary • Measures of Central Tendency • The mean, median, and mode in a collection of data when the data are arranged in order from least to greatest. • Data Sets • Sets of information • Test scores, batting averages, inventory at a clothing store, etc. • Outliers • A number in a data set that is very different from the rest of the numbers • 50, 88, 90, 90, 93, 95 = outlier is 50

  5. Mean • The average of the numbers in a set of data. This type of statistic is most mathematical. (CMT) • 88, 90, 95 = 273 ÷ 3 = 91 • Median • The middle number or average of the two middle numbers in a collection data when the data are arranged in order from least to greatest. This type of statistic helps you find the middle of a data set to help understand above and below the average. (CMT) • 88, 90, 95 = 90 • 88, 90, 93, 95 = 90 + 93 = 183 ÷ 2 = 91.5 • Mode • The number(s) that occur often in a set of data. This type of statistical data help you to know if you have too much of one value. (CMT) • 88, 90, 90, 93, 95 = 90 • Range • The difference between the greatest and least numbers in a set of data. This helps you to understand the ‘range’ of numbers. • 88, 90, 90, 93, 95 = 95 – 88 = 7

  6. How to Find the Mean 90, 89, 90, 100, 95, 100, 104, 100 1) Arrange data in order from least to greatest 2) Add all numbers. 3) Divide by the amount of numbers in the data set. (If you round the answer, use ~ or ≈) 89, 90, 90, 95, 100, 100, 100, 104 = 768 = 768 ÷ 8 = 96.0

  7. How to Find the Median 90, 89, 90, 100, 95, 100, 104, 100 • Arrange the numbers in order from least to greatest • Find the middle of the set. • If the set has an odd number of values, you will land on a middle value. • If the set has an even number of values, you will land on two middle values. You must add those two number as and then divide by 2. 89, 90, 90, 95, 100, 100, 100, 104 195 ÷ 2 = 97.5 Or ≈ 98

  8. How to Find the Mode 90, 89, 90, 100, 95, 100, 104, 100 • Arrange the numbers in order from least to greatest. • Look for any value that is repeated more than any other value in the data set. • There doesn’t always need to be a mode. 89, 90, 90, 95, 100, 100, 100, 104 90 has 2 values 100 has 3 values 100 is the mode

  9. How to Find the Range 90, 89, 90, 100, 95, 100, 104, 100 • Arrange the numbers in order from least to greatest. • Subtract the lowest value from the highest • Check your work 89, 90, 90, 95, 100, 100, 100, 104 104 – 89 = 15 Range = 15

  10. Try It! Find the mean, median, mode and range for each data set. • 12, 14, 22, 16, 18 • 3, 3, 3, 4, 5, 5, 5, 12 1) Mean: 12 + 14 + 22 + 16 + 18 = 82 82 ÷ 5 = 16.4 Median: 12, 14, 16, 18, 22 = 16 Mode: none Range: 22-12 = 10 2) Mean: 3 + 3 + 3 + 4 + 5 + 5 + 5 + 12 = 40 40 ÷ 8 = 5 Median: 3, 3, 3, 4, 5, 5, 5, 12 4 + 5 = 9 9 ÷ 2 = 4.5 = 4.5 Mode: 3 and 5 Range: 12-3 = 9

  11. Find the mean, median, mode and range for each data set. 3) 1.2, 3.6, 5.4, 3, 2.4, 4.2 4) 45, 49, 40, 37, 39, 42 3) Mean = 1.2 + 3.6 + 5.4 + 2.4 + 3 + 4.2 = 19.8 ÷ 6 = = 3.3 Median = 1.2 + 2.4 + 3+ 3.6 + 4.2 + 5.4 3 + 3.6 = 6.6 6.6 ÷ 2 = 3.3 Mode = none Range = 5.4 – 1.2 = 4.2 4) Mean = 37 + 40 + 42 + 45 + 49 + 39 = 252 ÷ 6 = 42 Median = 37 + 39 + 40 + 42 + 45 + 49 40 + 42 = 82 82 ÷ 2 = 41 Mode = none Range = 49-37 = 8

  12. Objective Review • To compute the mean, median, mode, and range of data sets. • Why? You now can find the measures of central tendency as useful ways of analyzing a collection of data. You can also find out more about how the data works. You can now know if the data together is statistically supportive.

  13. Independent Practice • Complete problems 6-11 • 13-18 • Label MEAN, MEDIAN, MODE, RANGE. • Show all work! • If time, complete Mixed Review: 20-28 • If still more time, work on Accelerated Math.

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