QUALITATIVE & QUANTITATIVE DATA

Part I: Data Set and Variables

1. Clearly identify the data set that you plan to use for the projects throughout STAT 2401
2. Identify and describe the QUALITATIVE variable you plan to use to complete part II of this mini-project
   1. Sample size
   2. Level of Measurement (nominal, ordinal, interval, ratio)
3. Identify and describe the QUANTITATIVE variable you plan to use to complete part III of this mini-project
   1. Sample size
   2. Level of Measurement (nominal, ordinal, interval, ratio)

Part II: Qualitative Data

1. C reate a bar graph, using MINITAB, of the variable you selected. Be sure to include titles and labels on the x-axis and y-axis.

The bar graph (or any graph) should be easily understood by any person without prior knowledge.

1. Summarize what you have learned about the qualitative variable.(explanation of what the chart tells you)Use complete detailed sentences
   1. What information is displayed on the bar graph?
   2. What is the maximum (most)?
   3. What is the minimum (least)?
   4. Other observations

EXAMPLE

https://assessment.tki.org.nz/Using-evidence-for-learning/Reading-and-analysing-data/Bar-graph

In this simple bar graph, achievement levels in Letter Identification are being compared. The left (vertical) axis represents the number of students, and the right (horizontal) axis represents achievement levels. The green bars represent the achievement of a group of students at school entry and the orange bars after one year at school. The differences between the two represent the progress made in student achievement levels over that time.

What the data shows

• Only a small number of students who started school in the 'well below' category were still in that category after a year at school.
• The number of students in the 'within' or 'above' categories has more than doubled after a year at school.
• The number of students in either of the 'below' categories has reduced substantially.

Area for investigation

• The total number of students is smaller in the 'after one-year' figures. There are 305 students represented in the Five-year school entry figures and only 230 in the Six-Year Net figures. This discrepancy would need to be investigated. Data which shows progress over time should always be matched so that the same students are represented in both sets of figures.

Part III: Quantitative Data

1. Graphs
2. Cr eate a histogram, using MINITAB, of the variable you selected. Be sure to include title and labels on x-axis and y-axis.

The histogram (or any graph) should be easily understood by any person without prior knowledge.

1. Summarize what you have learned about the quantitative variable.(explanation of what the chart tells you)Use complete detailed sentences
   1. What information is displayed on the histogram?
   2. What is the distribution (shape) of the data?
   3. What is the range of values (minimum to maximum)?
   4. What "value" appears to be most common?
   5. Do there appear to be any extreme values (outliers)?
   6. Other observations

EXAMPLE

https://www.nku.edu/~statistics/Histogram_Example.htm

A histogram of Daily Newspaper Sales

Sales are in Thousands of Papers Sold per Day

This newspaper typically sold about 100,000 copies per day. Sales between 90,000 and 110,000 were quite frequent.

For this sample of 70 days' sales, the smallest number of newspapers sold was about 70,000 and the largest is about 150,000.

There were an unusually large number of newspapers sold one day. The day on which 150,000 newspapers were sold is atypical.

Finally, due to the atypical large value, the histogram is slightly skewed to the right, or positively skewed. Without this value, the histogram would be reasonably symmetric.

1. Cr eate a boxplot, using MINITAB, of the variable you selected. Be sure to include title and labels on the five number summary points
2. Summarize what you have learned about the quantitative variable.(explanation of what the chart tells you)Use complete detailed sentences
   1. What information is displayed on the boxplot?
   2. What is the distribution (shape) of the data?
   3. What is the range of values (minimum to maximum)?
   4. What is the middle of the data set?
   5. Do there appear to be any extreme values (outliers)?
   6. Other observations
      1. Interpret each quartile
3. Calculate, using MINITAB, Label and list the five number summary from the boxplot, mean, and standard deviation
4. Verify algebraically using the formulas below whether the quantitative variable has any outliers

FORMULA: Any data value less than Q₁ - 1.5IQR or any data value greater than Q₃ + 1.5IQR

1. Write detailed summary of the quantitative variable
   1. Confirm shape of distribution by comparing mean, median, mode
   2. Use information learned in #1-6 above

here is the data https://highlands.view.usg.edu/content/enforced/2603495-CO.730.STAT2401.50235.20231/COVID-19_Vaccine_Distribution_Allocations_by_Jurisdiction_-_Pfizer.csv?_&d2lSessionVal=IAmvwAhaCKU2jw3SKWWISin5M&ou=2603495