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Understanding Categorical Data: Frequency Distributions and Graphical Representation

This section focuses on the objectives of constructing and interpreting frequency distributions for qualitative data. By the end, you will learn to create frequency and relative frequency distributions, as well as bar graphs, Pareto charts, and pie charts. The discussion includes an exploration of various professions and their perceived prestige, providing real-life examples of frequency distribution. Additionally, you will discover how to decode messages using statistics, along with notable quotes related to the significance of science and data analysis.

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Understanding Categorical Data: Frequency Distributions and Graphical Representation

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  1. CO_02.jpg

  2. 2.1 Graphs and Tables for Categorical Data Objectives: By the end of this section, I will be able to… 1) Construct and interpret a frequency distribution and a relative frequency distribution for qualitative data. 2) Construct and interpret bar graphs and Pareto charts. 3) Construct and interpret pie charts.

  3. Frequency: number of times an observation occurs • Frequency Distribution: table listing all the values and frequency of a variable Frequency Distributions

  4. Lawyer • Professional Athlete • Military Officer • Doctor • Scientist What career do you think is the MOSTprestigious?

  5. CAREER FREQUENCY Lawyer Pro. Athlete Military Officer Doctor Frequency Distribution Scientist

  6. Relative Frequency: frequency divided by the sample size RELATIVE Frequency

  7. CAREER FREQUENCY Rel. Freq Lawyer Pro. Athlete Military Officer Doctor Frequency Distribution Scientist

  8. Using the regular FREQUENCY Using the RELATIVE FREQUENCY

  9. Bar Graph • PARETO CHART: bar graph when the bars are put in order from highest to lowest. • Pie Charts Common Statistical Graphs

  10. Common Statistical Graphs

  11. Who is that guy?What does he have to do with Statistics?

  12. So what? Well we can use statistics to DECODE messages. Its Julius Caesar!And he developed the Caesar Cipher.It was used to encode messages.

  13. Frequency of Letters

  14. Decode this Message “Zcdmpc Gbgqamtcpcb rfc kgpyajcq md qagclac, kyega psjcb rfc umpjb.” - Ugjjgyk Iykiuykzy

  15. “Before I discovered the miracles of science, magic ruled the world. - William Kankwamba

  16. Decode this Message “M wippmgimr xli amrxiv, M wippjmvimrlipp, M eq e lywxpivfefc, M’ppwippaexivxs e aipp” Nec D

  17. “I sell ice in the winter, I sell fire in hell, I am a hustler baby, I’ll sell water to a well” Jay Z

  18. “P nva alzalk mvy hpkz. P ruvd ihyhjr nva alzalk mvy hpkz. Aolyl'z uv zohtl pu ilpun alzalk mvy hpkz. Pa'z hu ptwvyahua aopun." -Qvl Ipklu

  19. "I got tested for AIDS. I know Barack got tested for AIDS. There's no shame in being tested for AIDS. It's an important thing.“ Joe Biden

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