Provide a set of 20 data points that has a mean of 20, a median of 25, an IQR of 10, and a sample standard deviation between 9 and 12. All data points must be positive. Explain in detail the plan you made and used to create the data set, any challenges you had, and how you handled them.

Joselyn hopes to receive a grade of B or better in her statistics class. Currently she has scored 75, 83, and 81 on her three in-class tests and also has a homework average of 88. Her professor calculates the class grade by finding the mean of five grades: three in-class tests, the homework average and the final exam. What is the minimum score Joselyn must earn on the final exam to have a class grade (mean) of 80? A. 67 B. 95 C. 70 D. 73

Answer each question fully. Use a minimum of 250 words for a complete discussion post. While it is not required in this discussion, feel free to bring in outside resources to support your answers. Outside resources include materials outside of the textbook, such as a website. An average is an attempt to summarize a collection of data into just one number. 1) Explain how the mean, median, and mode all represent averages in this context.2) Why is the mean a balance point? Why is the median a midway point? Why is the mode the most common data point?3) List three areas of daily life in which you think the mean, median, or mode would be the best choice to describe an “average and explain why.

Nikko compares the prices of a skateboard at 7 different online stores. His data is shown below. $67.50, $70.00, $102.25, $65.25, $58.75, $62.00, $68.20 13 Given this information, which statement is true? A The mean and median have the same value. B. The mean is the better measure of center than the median. CThe median is a better measure of center than the mean. D. The median is affected more by the outlier than the mean. DELL