Statistical or Not?
Is this a statistical question?
How many minutes do students in our class spend gaming on a school night?
Yes.
Game scores: 3, 1, 4, 2, 3, 5, 3, 1.
How many observations are in this data set?
8 observations
Find the median. Put the data in order first.
7, 3, 9, 5, 1
The median is 5
A class surveys students about their favorite video game. Which measure identifies the most popular choice: mean, median, or mode?
Mode. It identifies the game chosen most often.
Find the range of these scores: 9, 3, 7, 5. Show the subtraction.
6 points
Is this statistical? Explain: How tall is our classroom door right now?
No.
A score-frequency table shows: 0 points: 2 students; 1 point: 3 students; 2 points: 4 students; 3 points: 1 student. How many students were surveyed?
10 students
Find the mode: 8, 5, 8, 11, 5, 8.
The mode is 8
Gaming sessions lasted 8, 10, 9, 11, 42 minutes. Would mean or median better describe the center of the shorter, clustered sessions?
Median: 10 minutes.
Points scored: 4, 6, 8, 10. Find the range and explain what it means.
6 points. The greatest and least scores are 6 points apart.
Rewrite this as a statistical question: What is my favorite video game?
Answer may vary..
Goals per game: 2, 1, 1, 2, 1, 0, 2, 3, 1,
Which number of goals occurred most often? In how many games?
1 goal, in 4 games
Find the mean coins earned per round: 16, 8, 12, 4. Show your work.
10 coins per round.
Practice times: 8, 10, 9, 11, 12 minutes. Choose mean or median, calculate it, and explain your choice.
Either is reasonable.
Practice times in minutes: A: 18, 22, 20, 19, 21. B: 10, 30, 20, 15, 25.
Find both ranges. Whose times were more consistent in this sample?
A: 4 minutes. B: 20 minutes. A was more consistent here;
For this question, what data would you collect? How many siblings does each student in our class have?
One sibling count from each student.
Number of siblings each student has.
Scores: 2 points: 1 player; 4 points: 3 players; 6 points: 2 players. How many players scored at least 4 points?
5 players
Find the median. Order first: 14, 6, 10, 8, 12, 4.
The median is 9.
Scores start as 6, 8, 10. Then 40 is added. Which changes more: the mean or median? Prove it.
The mean changes more.
Scores: 16, 7, 12, 19, 11. If 19 changes to 29, what happens to the range? Show evidence.
Original range is 12; the new range is 22. It would increase by 10 points.
Students are asked how many pets they have. Everyone happens to answer 1. Was the original question statistical? Explain.
Yes.
Coins earned: 2 coins: 2 rounds; 4 coins: 3 rounds; 6 coins: 1 round. Write the complete ordered data set and find its range.
4 coins
Five game scores have a mean of 10 points. Four scores are 12, 8, 9, 11. Find the missing score.
Missing score: 10 points.
Scores: 4, 6, 8, 10. A student says, “There is no mode, so this data set has no center.” Correct the claim using two measures.
There is no mode, but the mean is 7 and the median is 7. A data set can have a mean and median without a mode.
Create five nonnegative whole-number scores with a mean of 10 and a range of 12. Show both calculations.
Answers may vary.