Displaying Numerical Data Using Box Plots 1 Warm
Displaying Numerical Data Using Box Plots 1
Warm Up OBJECTIVE: SWBAT display numerical data using box plots. Language Objective: SWBAT use content specific vocabulary to describe all parts of a box plot to a partner. A group of taste testers reviewed a brand of natural peanut butter. They gave the peanut butter a rating of 0 -100 points depending on its quality. The ratings are below: 34 40 52 57 57 60 60 63 67 69 69 71 71 89 Find the minimum, maximum, median, range, and interquartile range (IQR) for this set of data. Min = 34 points Max = 89 points Interquartile range (IQR) = 12 points 2 Median = 61. 5 points Range = 55 points
Warm Up OBJECTIVE: SWBAT display numerical data using box plots. Language Objective: SWBAT use content specific vocabulary to describe all parts of a box plot to a partner. A group of taste testers reviewed a brand of natural peanut butter. They gave the peanut butter a rating of 0 -100 points depending on its quality. The ratings are below: IQR = Q 3 – Q 1 34 40 52 57 57 60 60 63 67 69 69 71 71 89 Find the minimum, maximum, median, range, and interquartile range (IQR) for this set of data. Min = 34 points Max = 89 points Interquartile range (IQR) = 12 points 3 Median = 61. 5 points Range = 55 points
Launch Think-Pair-Share List some of the ways this information could be displayed visually. 34 40 52 57 57 60 60 63 67 69 69 71 71 Bar Graph? Line Plot? Table? 4 Circle Graph? 89
Launch Whole Class A box plot is one of the ways this data can be displayed. 34 5 40 52 57 57 60 60 63 67 69 69 71 71 89
Launch Example of a box plot: 6 Whole Class
Launch Vocabulary Box Plot: A graph that uses a rectangle (box) to represent the middle 50% of a set of data and “whiskers” at both ends to represent the remainder of the data. 7
Launch Turn-and-talk A box plot is constructed from the five-number summary of a set of data. Using the graph and what you know about range and interquartile range, what do you think the five-number summary consists of? 8
Launch Turn-and-talk A box plot is constructed from the five-number summary of a set of data. Using the graph and what you know about range and interquartile range, what do you think the five-number summary consists of? 9
Launch Notes Minimum Lower Quartile (Q 1) Median Upper Quartile (Q 3) Maximum 34 40 Minimum 10 52 57 Five-Number Summary 57 Median = 61. 5 60 Lower Quartile (Q 1) 60 63 67 69 69 71 71 89 Upper Quartile (Q 3) Maximum
Launch Think-Pair-Share The box plot below shows how the five-number summary corresponds to the box and whiskers of the box plot. Based on the figures above, how do you make a box plot using the five-number summary? 11
Launch Notes Once you have found the five-number summary, follow these steps to make a box plot: 1. Write the data in order from least to greatest 2. Draw a number line that can show the data in equal intervals 3. Mark the median 4. Mark the median of the upper half (the upper quartile, or Q 3) 5. Mark the median of the lower half (the lower quartile, or Q 1) 6. Mark the maximum (the greatest number) 7. Mark the minimum (the lowest number) 8. Draw a box between the lower quartile and the upper quartile 9. Draw a vertical line through the median inside the box 10. Draw two horizontal lines ("whiskers") from the rectangle to the extremes (minimum and maximum) 12
Launch 13 Check Your Work!
Practice Four Corners About what percent of the data values fall in the following interval? • after the upper quartile 14 25%
Practice Four Corners About what percent of the data values fall in the following interval? • before the median 15 50%
Practice Four Corners About what percent of the data values fall in the following interval? • after the median 16 50%
Practice Four Corners About what percent of the data values fall in the following interval? 50% • in the box (between the upper and lower quartiles) 17
Practice Four Corners About what percent of the data values fall in the following interval? • before the upper quartile 18 75%
Practice Four Corners About what percent of the data values fall in the following interval? • before the lower quartile 19 25%
Practice Four Corners About what percent of the data values fall in the following interval? • after the lower quartile 20 75%
Practice Four Corners About what percent of the data values fall in the following interval? 25% • between the median and the upper quartile 21
Practice Four Corners About what percent of the data values fall in the following interval? 25% • between the median and the lower quartile 22
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