Texas Algebra I Unit 3: Probability/Statistics

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Presentation transcript:

Texas Algebra I Unit 3: Probability/Statistics Lesson 27: Stem and Leaf Plots

Lesson Objectives: TEKS The student will be able to: Define Stem and Leaf Plot and identify key components Interpret data given in a stem and leaf plot Organize a given data set into a stem and leaf plot Use a stem and leaf plot to identify/calculate mode, median, and range.

Stem and Leaf plot- A stem and leaf diagram provides a visual summary of your data. This diagram provides a partial sorting of the data and allows you to detect key information quickly. leaf stem 3 0 0 2 1 4 0 1 5 6 9 9 6 2 7 1 4 5 9 key 3 2 = 32 Must have a key in order to interpret data properly!!

Analysis of data leaf stem 3 0 0 1 2 4 0 1 5 6 9 9 6 2 7 1 4 5 9 key 3 0 0 1 2 4 0 1 5 6 9 9 6 2 7 1 4 5 9 key 3 2 = 32 This data set has 14 entries: 30, 30, 31,32, 40, 41, 56, 59, 59, 62, 71, 74, 75, 79

Analysis of data leaf stem 3 0 0 1 2 4 0 1 5 6 9 9 6 2 7 1 4 5 9 key 3 0 0 1 2 4 0 1 5 6 9 9 6 2 7 1 4 5 9 key 3 2 = 32 Purpose of plot is to make it simple to find 3 of 4 of the measures of central tendency. Look at plot to find: Mode: 30, 59 Median: average 56 and 59→ 57.5 Range: 79 - 30 = 49

Analysis of data: another example 9 2 1 1 3 8 3 5 0 6 7 7 7 7 8 5 = 0.5 Find the mode, median, and range of this set.

Putting given set in plot Draw your table Decide on stem’s place value (write key) Place numbers in table Re-order if necessary Here is the data set: {25, 45, 89, 45, 42, 23, 74, 45, 28, 52, 36, 38, 69, 23}

Lesson Objectives: TEKS The student will be able to: Define Stem and Leaf Plot and identify key components Interpret data given in a stem and leaf plot Organize a given data set into a stem and leaf plot Use a stem and leaf plot to identify/calculate mode, median, and range.