Question 1: Find the median of the following data set: 12, 15, 11, 14, 13.

Answer: 13

Question 2: Determine the median value from the stem and leaf diagram below: (Students will interpret the diagram on the grid; e.g., 1|2 4 5, 2|1 3 4, 3|0 2 5)

Answer: 23

Question 3: Calculate the median of the following numbers: 7, 9, 4, 6, 8, 10.

Answer: 8

Question 4: Plot the graph of y=2x for x values from 1 to 5. Identify the median y-value.

Answer: 10

Question 5: A class's test scores are 78, 85, 90, 88, 76. Find the median score.

Answer: 85

Question 6: Explain why the median is a better measure of central tendency than the mean for skewed data.

Answer: Because median is less affected by extreme values, it better represents the typical value in skewed distributions.

Question 7: The data set is 3, 5, 7, 9, 11, 13. What is the median? Show your working.

Answer: 8

Question 8: A survey of 15 students' heights (in cm): 150, 152, 153, 155, 157, 159, 160, 162, 164, 165, 167, 169, 170, 172, 175. Find the median height.

Answer: 162

Question 9: Identify and correct the mistake in calculating the median if a student reports it as 14 for the data set: 10, 12, 14, 16, 18.

Answer: The median is 14, which is correct; the mistake might be in incorrectly ordering data or missing the middle value. Correct approach: order data and find the middle value, which is 14.

Question 10: A data set has an even number of observations. Explain how to find the median in this case.

Answer: Arrange data in order, find the middle two values, and calculate their average. That average is the median.

Question 11: Using the data set: 22, 24, 26, 28, 30, 32, 34, identify the median and explain the process.

Answer: 28; order data (already sorted), find the middle position (4th and 5th), average: (28+30)/2=29.