Question 1: Calculate the minimum, lower quartile, median, upper quartile, and maximum of the data set: 3, 7, 8, 5, 12, 9, 4.

Answer: {"median":7,"maximum":12,"minimum":3,"lower_quartile":4,"upper_quartile":9}

Question 2: A data set has the five-number summary: Minimum = 10, Q1 = 14, Median = 18, Q3 = 22, Maximum = 26. Calculate the interquartile range (IQR).

Answer: See full answer key

Question 3: Given the data set: 15, 20, 22, 18, 21, 19, 23, find the five-number summary.

Answer: {"median":20,"maximum":23,"minimum":15,"lower_quartile":18,"upper_quartile":22}

Question 4: Construct the box plot for the following data: 5, 7, 8, 12, 13, 15, 18, 20.

Answer: See full answer key

Question 5: Interpret the box plot with the five-number summary: Min=8, Q1=10, Median=15, Q3=20, Max=25. What can you say about the spread and skewness of the data?

Answer: See full answer key

Question 6: A dataset has an interquartile range of 12. If Q1 is 20, what is Q3?

Answer: See full answer key

Question 7: The five-number summary for a data set is: Min=5, Q1=8, Median=10, Q3=15, Max=20. Calculate the range of the data set.

Answer: See full answer key

Question 8: Given a box plot showing Q1=25, median=30, Q3=40, identify the possible data characteristics, including potential skewness.

Answer: See full answer key

Question 9: A data set’s largest value is 55, and the minimum is 35. The median is 45. Q1 is 40, and Q3 is 50. Calculate the IQR and describe what this suggests about data spread.

Answer: {"IQR":10,"description":"The interquartile range is 10, indicating a moderate spread of the middle 50% of the data."}

Question 10: Identify and correct the mistake in the following statement: 'The median is always the middle value of the data set when sorted.'

Answer: The median is the middle value or the average of the two middle values if the data set has an even number of data points.