Question 1: Calculate the interquartile range (IQR) of the gaming scores shown in the box plot, where the lower quartile (Q1) is 120 and the upper quartile (Q3) is 180.

Answer: 60

Question 2: What is the median score if the box plot shows a median of 150?

Answer: 150

Question 3: Identify the minimum and maximum scores from the box plot if the whiskers extend from 100 to 200.

Answer: Minimum: 100, Maximum: 200

Question 4: In a tech quiz app, the box plot shows a median of 75, Q1 of 60, and Q3 of 90. Calculate the IQR and comment on the spread of scores.

Answer: IQR = 30; scores are moderately spread with a larger upper quartile.

Question 5: A student notes that their gaming score is below Q1 in the box plot. What does this suggest about their score?

Answer: Their score is among the lowest 25% of scores (below Q1).

Question 6: Compare two box plots: one for a gaming tournament and one for app usage times. The first has Q1=50, median=70, Q3=90. The second has Q1=60, median=80, Q3=100. Which distribution shows greater variability?

Answer: Both have the same IQR of 40, so variability is similar.

Question 7: Construct a box plot for data: 55, 60, 65, 70, 75, 80, 85. Identify Q1, median, Q3, and the range.

Answer: Q1=60, median=70, Q3=80, Range=85-55=30

Question 8: A tech company tracks app load times with a box plot. If the lower whisker is at 2 seconds and the upper at 8 seconds, what does this tell us about the range of typical load times?

Answer: Most load times are between 2 and 8 seconds; these are the typical range.

Question 9: Given a box plot with an outlier at 250 in a set of gaming scores, what might this indicate?

Answer: An unusually high score or possible error in data recording.

Question 10: Identify the common mistake: A student says the IQR is found by subtracting Q1 from Q3 and then adding the median. Correct the mistake.

Answer: The IQR is Q3 minus Q1; median is not involved in calculating IQR.

Question 11: Challenge: If a new box plot for a tech app shows Q1=40, median=60, Q3=80, and the minimum is 10, maximum is 100, calculate the range, IQR, and comment on the distribution's spread.

Answer: Range=90, IQR=40; distribution is quite spread out, with outliers at the lower end.