Summary Statistics Case Studies

For Scenario 1, completed the following tasks:

1. 1. Calculate the five-number summary (minimum, Q1, median, Q3, maximum)

2. 2. Compute the mean, mode, and mid-range of the data.
   

Based on the summary statistics for Scenario 1, answer the following questions:
1. What is the typical wait time for a customer?

2. 2. Are there any extreme values that might indicate service delays?

3. 3. If the coffee shop wants to ensure that most customers are served within 7 minutes, should they be concerned?

4. 4. What strategies might the manager implement to improve efficiency?

For Scenario 2, completed the following tasks:

1. 1. Calculate the five-number summary (minimum, Q1, median, Q3, maximum)

2. 2. Compute the mean, mode, and mid-range of the data.

Based on the summary statistics for Scenario 2, answer the following questions:

• What is the general performance level of the class?

• Are there any students whose scores suggest they may need extra support?

• If the teacher’s goal is for the majority of students to score above 80, how well was that goal met?

• What interventions, if any, should the teacher consider before the final exam?

For Scenario 3, completed the following tasks:

1. 1. Calculate the five-number summary (minimum, Q1, median, Q3, maximum)

2. 2. Compute the mean, mode, and mid-range of the data.

Based on the summary statistics, answer the following questions:

• What is the family's typical monthly electricity bill?

• Are there any months where the electricity bill was significantly higher than usual?

• If the family wants to keep their bill under $150, how well have they managed?

• What factors could contribute to the fluctuations in the bill, and what strategies could they use to reduce costs?

For Scenario 4, completed the following tasks:

1. 1. Calculate the five-number summary (minimum, Q1, median, Q3, maximum)

2. 2. Compute the mean, mode, and mid-range of the data.

1. Based on the summary statistics, answer the following questions:

   • What is the typical wait time for an ER patient at this hospital?

   • Are there any extreme values that indicate some patients wait significantly longer than others?

   • If the hospital wants to ensure that 75% of patients wait 30 minutes or less, is that currently being achieved?

   • What operational changes could the hospital consider to improve patient wait times?