Statistics Checkpoint: Fundamentals

Which of these is a statistical question that would produce numerical data?

• Did the best-selling single earn money last year?

• Is there a Hall of Fame in any of the fifty states?

• How many Music Awards were given in 2020 in total?

• How many minutes do students listen to music on average?

The scores from the last 10 basketball games are: {4, 5, 3, 3, 5, 4, 2, 3, 1, 4}. What is the mean score?

• 3.0 points per game

• 3.2 points per game

• 3.3 points per game

• 3.5 points per game

The scores from the last 10 basketball games are: {8, 7, 5, 9, 6, 5, 4, 7, 8, 6}. What is the median score?

• 6.0 points after ordering

• 7.0 points after ordering

• 7.5 points after ordering

• 8.0 points after ordering

A set of ten daily study hours in hours is ordered as {__, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The range of the set is 8 hours. What is the missing first value?

• 0 hours

• 1 hour

• 2 hours

• 3 hours

Use the box plot shown to find the Five Number Summary for the daily money earned by Store B last month.

• 0, 10, 40, 40, 50

• 10, 20, 50, 50, 90

• 0, 30, 50, 70, 100

• 30, 30, 70, 70, 100

A box plot shows Store B’s daily earnings with the median near the right side of the box and a longer left whisker than right whisker. What is the shape of the distribution?

• Skewed right

• Skewed left

• Approximately normal

• Impossible to tell

Quiz scores are: 32, 44, 50, 41, 49, 22, 33, 48, 49, 36, 39, 40, 29, 45, 39, 42, 46, 42. Which histogram is correct if bins are 20–30, 30–40, 40–50, 50–60?

• Counts 2, 7, 8, 1 in order

• Counts 2, 8, 6, 2 in order

• Counts 3, 6, 7, 2 in order

• Counts 4, 5, 7, 2 in order

Which box plot best represents the test scores: 75, 78, 80.5, 89, 90, 92, 92, 95, 100, 100? Consider approximate five-number summary: min 75, Q1 around 79, median around 91, Q3 around 96, max 100.

• Box plot A: whiskers 75–100, box centered near 90–95

• Box plot C: whiskers 75–95, box centered near 80–85

• Box plot B: whiskers 78–100, box centered near 85–90

• Box plot D: whiskers 70–100, box centered near 92–98

A class had test percentages: 66, 98, 75, 100, 84, 70, 91, 68, 65, 79, 65, 75, 91, 89, 75, 65. Johnny returns from vacation and scores 25%. Which measure of variation best summarizes how the class did, including Johnny’s score?

• Interquartile range, because it ignores outliers

• Range, because it ignores the center entirely

• Median, because it resists the extreme value

• Mean, because it uses all values equally

• Mean decreases; median decreases

• Mean stays the same; median decreases

• Mean increases; median stays the same

• Mean decreases; median stays the same