Unit 6 Advanced Worksheet

Data & Probability - Challenge Level - 20 Questions

Question 1: Graph shows rainfall: Jan (2 in), Feb (3 in), Mar (1 in). What's the average?

Answer: 0

Average = (2 + 3 + 1) ÷ 3 = 6 ÷ 3 = 2 inches.

Question 2: Line plot: 50 (3 X's), 52 (5 X's), 54 (2 X's). What's the range? ___

Answer: 4

Range = highest - lowest = 54 - 50 = 4.

Question 3: Two graphs show same data. Which is better for categorical data?

Answer: 0

Bar graphs are better for categories. Line plots are better for numerical data.

Question 4: Survey: 20 students. Soccer (8), Basketball (7), Baseball (?). Baseball frequency: ___

Answer: 5

Total 20. Soccer + Basketball = 15. Baseball = 20 - 15 = 5.

Question 5: If probability is 1/3, the event is unlikely but possible.

Answer: True

True! 1/3 ≈ 33% is less than 50%, so unlikely but still possible.

Question 6: Movie tickets: Fri (50), Sat (80), Sun (65). How many more Saturday than Friday?

Answer: 30

80 - 50 = 30 more tickets on Saturday.

Question 7: Jar: 2 orange, 3 purple, 5 green candies. Probability of NOT green?

Answer: 0

NOT green = orange + purple = 2 + 3 = 5 out of 10 = 5/10 = 1/2.

Question 8: Data: 8, 9, 8, 10, 9, 8, 9, 9. Which age has frequency 4? ___

Answer: 9

Age 9 appears 4 times. Age 8 appears 3 times, age 10 once.

Question 9: Spinner: 3 blue, 2 red, 1 green. What's the LEAST likely outcome?

Answer: 0

Green has only 1/6, while blue has 3/6 and red has 2/6. Smallest = least likely!

Question 10: After rolling 5 ones, probability of next roll being 1 is still 1/6.

Answer: True

True! Each roll is independent. Past rolls don't affect future ones.

Question 11: Box: 10 pencils (7 sharpened, 3 dull). Probability of sharpened: ___

Answer: 7/10

7 sharpened out of 10 total = 7/10 = 70% chance.

Question 12: Graph shows temperatures: 70°, 68°, 65°, 63°. Describe the trend.

Answer: decreasing

70 → 68 → 65 → 63 shows temperature going down (decreasing/cooling).

Question 13: Comparing probabilities: A is 40%, B is 0.6. Which is more likely?

Answer: 0

40% = 0.40 and 0.6 = 60%. Since 0.6 > 0.4, Event B is more likely!

Question 14: Line plot: 2 (1X), 3 (3X's), 4 (2X's), 5 (4X's). Mode: ___

Answer: 5

5 has the most X's (4), making it the mode.

Question 15: A graph showing steady growth from 10 to 50 indicates consistent improvement.

Answer: True

True! Steady growth = consistent positive improvement over time.

Question 16: Pattern: 2, 5, 8, 11, 15, 17. Which number doesn't fit?

Answer: 15

Pattern adds 3: 2, 5, 8, 11, 14, 17. The 15 should be 14!

Question 17: Bar graph: Red (12), Blue (18), Green (12). Which statement is TRUE?

Answer: 0

Red and Green both have 12 (equal). Blue has most with 18.

Question 18: Cards: 8 even, 4 odd numbers. Probability of picking even: ___

Answer: 8/12

8 even out of 12 total = 8/12 = 2/3 ≈ 67%.

Question 19: Survey results over time: Week 1 (10), Week 2 (20), Week 3 (30). Predict Week 4.

Answer: 40

Pattern increases by 10 each week: 10, 20, 30, 40. Linear growth!

Question 20: Which probability is closest to 'certain'?

Answer: 0

'Certain' means very high probability, close to 100%. 95% is closest to certain!

Download Printable Version

Get a PDF version of this worksheet to print and complete offline. Perfect for students who prefer working on paper or need practice without a device.

📝 Tips for Printed Worksheets

• Print in color for the best experience
• Use a pencil so you can erase and try again
• Check your answers online after completing
• Keep your completed worksheets in a folder for review