Posted: May 1st, 2021

**Initial Discussion**. Respond to __each__ of the following 11 questions:

**Read** and **understand** the selected learning objectives in the Lind et al. (2021) textbook.

Chapter 3: LO3-1 Relative Positions of the Mean, and Median; Relative Positions of the Mean, and Median; LO3-4 Dispersion; LO3-5 The Empirical Rule.

Chapter 4: LO4-3 Measures of Position, LO4-4 Box Plots

**Chapter 3**

Basic measures of **central tendency** are the Mean, median, and mode.

3A. **Share** examples of business scenarios in which using each of the three would be the best way to answer a business question or solve a business problem.

What **characteristics** of a situation, problem, or question make it best answered by calculating the following. Consider when the data is symmetrical, is significantly skewed, is qualitative.

3B1. The mean

3B2. The median

3B3. The mode

3C. Explain why **dispersion** is a necessary measure with central tendency in statistics.

3D. A sample of pizza delivery times is a symmetrical, bell-shaped distribution. The sample mean is 18.1 minutes; the standard deviation is 1.9 minutes. Using the Empirical Rule, about 95% of the pizza delivery times are between what two amounts?

**Chapter 4**

4A. Define a Median in everyday language.

Joey’s Pizza offers free delivery within 15 miles during COVID-19. The owner wants some information on the time it takes for delivery. Refer to the box plot below based on delivery sample times.

4B1. How many minutes does a typical delivery take?

4B2. Between what range of minutes will one-half of the deliveries take?

4B3. Between what range of minutes will all the deliveries take?

4B4. What is the interquartile range value?

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