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Unit 1 Study Guide Answers

Learn about organizing data in grouped and ungrouped frequency tables, when to use bar graphs vs. histograms, categorical vs. numerical data, and techniques like creating line plots, stem-and-leaf plots, histograms, and more!

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Unit 1 Study Guide Answers

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  1. Unit 1 Study Guide Answers

  2. 1. Explain how data can be organized in grouped and ungrouped frequency tables. • Ungrouped is a table for organizing data by showing the number of times each item appears individually. • Grouped is the organization in a table form with classes of equal intervals (groups of numbers) & their frequency.

  3. 2. When would it be more appropriate to use a bar graph rather than a histogram? • A histogram typically has intervals of a range of numerical values (classes). A bar graph does not show a range of values. • A bar graph would be used for categorical data. • A bar graph would be used if the range of numbers was small.

  4. 3. What is the difference between categorical and numerical data? • Categorical data describes a quality while numerical gives a count. • Categorical data is when you ask about your favorite things. Numerical deals with numbers.

  5. Create a line plot for the Number of Pets in each Family: 5, 0, 0, 1, 2, 3, 1, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 1, 1, 1, 2, 3, 2, 1, 3 Number of Pets in each Family x x x xx x xxx x xxxx x xxxxx x xxxxx 0 1 2 3 4 5

  6. 4. How many families have at least 2 or more pets? _____ • 16 (Count from 2 all the way over to the right.)

  7. 5. What is the mode of the data? _____ • 1 and 3 (Both 1 and 3 have six x’s over them. Yes, we can have more than one mode.)

  8. 6. The discounts offered by a super market are as shown in the table. Create a histogram with the correct representation of the data.  • I hope you copied the histogram from the overhead.

  9. Create a stem and leaf plot for the following test grades data: 67, 82, 73, 42, 78, 86, 84, 99, 91, 94 Test Grades Stem Leaf • | 2 • | • | 7 • | 3, 8 • | 2, 4, 6 • | 1, 4, 9

  10. 7. What is the range of the data? _____ • 99-42=57 (Largest # - Smallest # = Range)

  11. 8. What is the mean and median of the data? _____ • Mean = 79.6 Median = 83 • You will not have to do the mean for the test. The median is the middle number. Since there are 2 middle numbers, do the average/mean of the numbers. It is 83.

  12. 9. Create a histogram of the following number of Olympic Medals won by 27 countries:8, 88, 59, 12, 11, 57, 38, 17, 14, 28, 28, 26, 25, 23, 18, 8, 29, 34, 14, 17, 13, 13, 58, 12, 97, 10, 9 • Analysis of the data – I want you to find the median and mode. • The mode is 8, 12, 13, 14, 17, and 28. The median is 18. The mean is 28.37. (You will not need to do the mean for the test.)

  13. 10. Choose a graph to represent the following data:Ages at a party: 10, 14, 13, 12, 10, 14, 14, 12, 11, 9, 11, 9, 15 • Line Plot, Stem and Leaf Plot, Bar graph, Pictograph or a Histogram could be used to represent the data.

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