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Data Analysis Techniques for Math Students

Learn to organize data in order, create frequency tables, line plots, histograms, stem-and-leaf plots, and box-and-whisker plots. Practice finding medians and quartiles.

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Data Analysis Techniques for Math Students

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  1. Chapter 10 Section 1, 3-4

  2. Warm-Up • List the data in order from least to greatest. • 1.) 23, 45, 61, 87, 91, 16, 22, 52 • 2.) 4.1, 4.2, 4.13, 4.15, 4.3 • 3.) 132, 116, 108, 191, 125, 132 • 4.) 7.25, 7.3, 7.08, 7.9, 7.62

  3. Warm-Up 2 • List the data in order from least to greatest. • 1.) 32, 31, 34, 30, 13, 33 • 2.) 121, 119, 137, 125, 129 • 3.) 11.1, 10.9, 11.3, 11.5, 10.2 • 4.) -4, -5, 0, -1, 2, -3

  4. Notes • A frequency table is a table that lists each item in a data set with the number of times the item occurs • A line plot is a graph that shows the shape of a data set by stacking X’s above each data value on a number line • A histogram is a bar graph with not spaces between the bars

  5. Example(s) • Make a frequency table of each set of data. • 1.) tickets sold per day 45 48 51 53 50 46 46 50 51 48 46 45 50 49 46

  6. Example(s) • Make a frequency table of each set of data. • 2.) ages of students 13 12 14 12 11 12 13 14 11 13 13 14 11 12 12 13 11

  7. Example(s) • Make a line plot of each set of data. • 3.) number of plants sold per person 5 10 11 8 7 11 9 8 6 6 7 12 10 10 9 8 7

  8. Warm-Up • Find the median of each set of data. • 1.) 24, 42, 51, 25, 63 • 2.) 38, 30, 26, 20, 32, 48 • 3.) 2.1, 3.2, 4.8, 5.6, 3.1, 2.6 • 4.) 5.8, 6.9, 7.4, 3.9, 6.4

  9. Chapter 11 Section 3 Notes • A stem-and-leaf plot is a graph that uses the digits of each number to show the shape of the data • A box-and-whisker plot is a graph that summarizes a data set along a number line

  10. Steps for making a stem-and-leaf plot Step 1: Choose the stems. The stems are made using the values in the ones place Step 2: Find the leaves. The leaves are the values in the tenth place. ***i.e. Using the number 23, 2 would be the stem and 3 would be the leaf Step 3: Order the leaves from least to greatest. A key explains what your stems and leaves represent. Add a title.

  11. Example Ex. 1) Draw a stem-and-leaf plot for the heights of giant sunflowers. 98 99 94 87 83 74 69 88 78 99 100 87 77

  12. Steps for making a box-and-whisker plot • Step 1: Order the data from least to greatest • Step 2: Find the middle quartile by finding the median of the entire data set.(The median divides the data into two parts • Step 3: Find the lower quartile by finding the median of the lower parts • Step 4: Find the upper quartile by finding the median of the upper parts • Step 5:Find the lowest and highest value of the data set

  13. Example Ex. 2) Make a box-and-whisker plot for each set of data. Number of customers at a coffee house 2 5 3 7 7 8 10 8 14 15 14 15 12 10 10 8 9 7 8 5 2 5 4 3

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