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Mastering Data Analysis: Creating Frequency Tables and Histograms for EOC Review

This resource aims to assist students in preparing for the EOC by clarifying topics in data analysis, particularly frequency tables and histograms. Students will learn how to group data into intervals, construct frequency tables, and visualize data with histograms. The guide includes practical examples, such as analyzing home run data and student enrollments, while highlighting the minimum and maximum values and intervals. By addressing areas of confusion, students can better grasp essential concepts in systems of equations, factoring, and statistical analysis.

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Mastering Data Analysis: Creating Frequency Tables and Histograms for EOC Review

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  1. Do Now • ONE MORE UNIT!! • What topics confused you this year? Telling Ms. T where you are confused will help her plan the review for the EOC • Systems of equations • Linear/quadratic/exponential equations • Parallel/perpendicular lines • Polynomials • Factoring • Etc…

  2. Statistics Frequency and Histograms

  3. Some Vocabulary… • Frequency- the number of data values in that interval • Frequency Table- groups a set of data values into intervals and shows frequency for each interval • Intervals in frequency do not overlap, have no gaps and are equal in size • To find the intervals, take the data values and divide by four

  4. Making a frequency table • The number of home runs by the batters in a local home run derby are listed below. What is the frequency table that represents the data? 7, 17, 14, 2, 7, 9, 5, 12, 3, 10, 4, 12, 7, 15 What is the minimum value? What is the maximum value? What is the interval?

  5. More Vocabulary • Histogram – a graph that displays data from a frequency table (bar graph) • Frequency goes on the y-axis • Data values go on the x-axis • Bars are equal width • no gaps between bars

  6. Making a Histogram • Let’s go back to that first example of the home run derby • Let’s make a histogram of the frequency table

  7. You Try… • The numbers of students enrolled in Western Civilization classes at a university are given below. Use the data to make a frequency table with intervals. Then make a histogram of the data. 12, 22, 18, 9, 25, 31, 28, 19, 22, 27, 32, 14 What is the minimum value? What is the maximum value? What is the interval?

  8. You Try… • The number of days of Maria’s last 15 vacations are listed below. Use the data to make a frequency table with intervals. Then make a histogram of the data. 4, 8, 6, 7, 5, 4, 10, 6, 7, 14, 12, 8, 10, 15, 12 What is the minimum value? What is the maximum value? What is the interval?

  9. Relative Frequency • If f represents the frequency of occurrence of some data value x, then the relative frequency f/n can be plotted versus x, where n represents the total number of observations in the data set.

  10. Basically… • Relative frequency is a percentage of the data left in a decimal

  11. Let’s go back • What are the relative frequency of the examples we have done so far? What is the value for n?

  12. You Try… • The weights (in ounces) of packages of pork chops are given below. 19, 20, 26, 18, 25, 29, 18, 18, 22, 24, 27, 26, 24, 21, 29, 19 What is the minimum value? What is the maximum value? What is the interval?

  13. Cumulative frequency shows the frequency of all data values less than or equal to a given value. You could just count the number of values, but if the data set has many values, you might lose track. Recording the data in a cumulative frequency table can help you keep track of the data values as you count.

  14. The weights (in ounces) of packages of pork chops are given below. 19, 20, 26, 18, 25, 29, 18, 18, 22, 24, 27, 26, 24, 21, 29, 19 Pork Chops

  15. Try 4 The number of vowels in each sentence of a short essay are listed below. 33, 36, 39, 37, 34, 35, 43, 35, 28, 32, 36, 35, 29, 40, 33, 41, 37

  16. One Last Thing Hand it into the basket and pick up the worksheet and start working on it.

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