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Representing Data with Plots: Dot Plots, Histograms & Box Plots

Learn how to represent data using dot plots, histograms, and box plots on the number line. Explore M&M color frequencies, histogram creation, and interpreting box plots.

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Representing Data with Plots: Dot Plots, Histograms & Box Plots

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  1. Data Analysis UnitRepresenting Data Goal: I can represent data with plots on the real number line (dot plots, histograms, and box plots). S-ID.1

  2. Dot Plot

  3. Dot Plots How many of each color of M&M are in a package Frequency Colors

  4. Dot Plot for the Number of M&M's™ in a Package Graph paper is a good idea for it is crucial that each recorded X be uniform in size and placed exactly across from each other (one-to-one correspondence).Notice the cluster at 17 & 18 as well as the gap at 13 and 22. The mode is 18, the median is the second X from the bottom for number 18, and the mean is 17.68 or 18. Frequency Number of M&M in a Package

  5. Dot Plot made from a Tally Chart

  6. Histograms

  7. Histograms In a histogram, data are grouped into intervals of EQUAL width. The number of data values in each interval is the frequency of the interval. To draw, begin by using a frequency chart (tally chart) and making a frequency distribution (intervals). Histogram typically contain 5-10 intervals.

  8. Histograms 2009-2010 Mean SAT Math Scores

  9. Histogram

  10. Box and Whisker Plot

  11. Steps • Order the data from least to greatest. • Find the minimum and maximum values. • Find the median. • Find the lower and upper quartiles (medians of the lower and upper half). • Plot these five numbers below a number line. • Draw the box, whiskers, and a line segment through the median.

  12. If there is an even data set…

  13. Box Plot A box encloses the middle half of the data and whiskers extend to the minimum and maximum data values median max min Q1 Q3

  14. Box Plot

  15. Box Plot

  16. Relating Histograms to Box Plots • http://higheredbcs.wiley.com/legacy/college/mann/0470444665/applets/applet_01_v4.html

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