MAD_quiz_pbs

Exam/Quiz Questions
The six questions below are from an quiz administered to my pre-service elementary teachers in Fall 2012. The pre-service teachers were allowed to use a calculator. The sunflower data set for problems 1-4 can be found in Collection 1 on the Sunflower Height MAD page. The sunflower data set for problem 5 is in Collection 2. Upper fence (lower fence) is the term we used to determine the boundary for an outlier.


 * Questions 3 and 5 refer to the MAD. **


 * The heights (in inches) of Emily’s ten sunflower plants are listed below.**

99, 72, 99, 98, 94, 77, 83, 69, 99, 100

1. Graph the sunflower data in an appropriate data display that is **not** a box-and-whiskers plot or a -1.00 to +1.00 average deviation hat plot.

2. Find the five-number summary for Emily’s sunflower data.

3. Find the Mean Absolute Deviation for Emily’s sunflower data. Explain what this means with regard to the data set.

4. Emily needs to report the **average** height of her sunflowers for a 4-H project (support your answers with a reason).

a) What would be the most honest response? b) What would be the most deceiving?

5. Kayla measured her sunflowers and computed a few statistics from the data. She reported that the shortest plant was 70 inches and the tallest was 99 inches and the mean height was 88.5 inches. She calculated the MAD to be 9 inches. Sketch a -1/+1 absolute deviation hat plot for her sunflower data (you may write values above the hat plot for grading purposes).

6. Theresa computed some statistics for her sunflower data. She found the 5# summary to be: 62, 83, 92, 98, 99 (in inches). Theresa claimed that 62 inches is an outlier in her data set. Verify or refute her claim.