two questions , one about varaibility within population and other about calculating the standard z score

two questions , one about varaibility within population and other about calculating the standard z score

  1. Describe a variable that social scientists might measure that you believe has a high amount of variability within a population. Next, describe a variable social scientists measure that you believe has a low amount of variability within a population. No calculations are necessary, but you should provide information about your chosen variables to let the class know why you believe they are spread out the way they are. Be sure to let us know what population you are referring to when describing these variables (e.g., all humans, all college students, etc.).

To receive full credit, this first section must be at least 100 words.

2. Height is a normally distributed human characteristic. In the United States, men’s heights have mean 69.1 inches and standard deviation 2.9 inches, while women’s heights have mean 63.7 inches and standard deviation 2.7 inches.

Collect height data on a sample of n=3 men and n=3 women.

Complete the following for the sample of men and women separately:

  1. List the raw data.
  2. Transform each score into a standardized z-score.
  3. Identify the percentile rank for each individual. Percentile rank is the percentage of scores in its frequency distribution that are equal to or lower than it. Thus, if someone is in the 90th percentile for height, they are taller than 90% of the population.

Note: Assignments must be submitted on Canvas and can be uploaded using any of the following file extensions: .docx, .doc, or .pdf. Late assignments will be deducted 10% per day, up to 3 days late.