Title: Frequency Distributions and Measures of Central Tendency
Grade Level: 12th Grade
Curriculum Areas: Organizing Data, Measures of Central Tendency, and Data Analysis. South Carolina Standards for Data Analysis and Probability (I.C.1,2,3, I.D.1,2,3, II.A.1,2,3, II.B.4, III.C.1,2)
1. The student will be able to search for information regarding statistics on players from the National Football League on the Internet.
2. The student will be able to construct frequency distributions from the data collected.
3. The student will be able to find the mean, median, and mode of the grouped frequency distributions.
4. The student will be able to analyze their data and interpret their findings.
The Internet will be used for research purposes. This will allow the students to connect the lesson to real-world situations.
The lesson will consist of a class discussion in which all students will be involved. They will be questioned about their interpretation of the results. Their answers will be an informal assessment of their understanding of the material.
∑ The students will search the Internet for the number of touchdown passes and interceptions accumulated by the starting quarterbacks from each team in the N.F.L. They will be assigned different seasons to research and will also record the quarterback's ages.
∑ The students will be guided on how to use the data to construct two grouped frequency distributions. The data will be grouped by the players' ages.
∑ The students will be guided on how to use the frequency distributions to obtain the mean, median, and mode of the two grouped frequency distributions.
∑ An analysis of the results will be discussed in the form of a class discussion. Questions raised will concern what age group produces the best quarterbacks.
Materials: Computers with access to the Internet, calculators, pencil, paper