Question 1: Arrange the following data set in order from smallest to largest: 23, 45, 12, 37, 29.

Answer: 12, 23, 29, 37, 45

Question 2: Create a stem and leaf diagram for the data: 14, 17, 21, 19, 16, 23, 25, 27.

Answer: See full answer key

Question 3: What is the median value when the data is ordered: 8, 15, 12, 20, 17?

Answer: 15

Question 4: Construct a stem and leaf diagram for the following data: 31, 35, 29, 33, 37, 30, 36.

Answer: See full answer key

Question 5: Arrange these heights in order from shortest to tallest: 150cm, 138cm, 142cm, 155cm, 149cm.

Answer: 138cm, 142cm, 149cm, 150cm, 155cm

Question 6: Explain how to identify the mode in a stem and leaf diagram and give an example.

Answer: The mode is the most common leaf value in the diagram. For example, if 2 appears most frequently, then 2 is the mode.

Question 7: The data set is: 45, 52, 47, 52, 50, 52. Create a stem and leaf diagram and state the most frequent data point.

Answer: Stem: 4 | 5, 7; 5 | 0, 2, 2, 2; Most frequent: 52

Question 8: List the data points in order and identify the first quartile.

Answer: Ordered data: 12, 15, 17, 19, 21, 23, 25; First quartile: 15

Question 9: Identify the common mistake students might make when ordering data and suggest how to avoid it.

Answer: A common mistake is ordering incorrectly or misreading the data. To avoid this, double-check each number and verify the order step-by-step.

Question 10: Given the data: 33, 29, 35, 31, 36, 28, create a stem and leaf diagram and state the range.

Answer: Range = highest - lowest = 36 - 28 = 8

Question 11: A set of test scores are: 78, 85, 82, 85, 80, 83. Create a stem and leaf diagram and identify the most common score.

Answer: Stem: 7 | 8, 8; 8 | 0, 2, 3, 5, 5; Most common score: 85