Unit 6 Basic Worksheet

Data & Probability - 25 Questions

Question 1: Students' favorite colors: Red (5), Blue (8), Green (3). Total students surveyed?

Answer: 0

5 + 8 + 3 = 16 students total.

Question 2: Data: 2, 3, 2, 4, 2, 3, 2. Frequency of value 2: ___

Answer: 4

The value 2 appears 4 times in the data set.

Question 3: In tally marks, |||| means:

Answer: 0

Four vertical marks with one diagonal = 5.

Question 4: In a line plot, each X represents ___ data value(s).

Answer: 1

Each X or dot represents one occurrence of that value.

Question 5: A frequency table counts how many times each value appears.

Answer: True

True! Frequency tables organize data by counting occurrences.

Question 6: Bar graph: Chocolate (20), Vanilla (15). How many more chose Chocolate?

Answer: 0

20 - 15 = 5 more people chose Chocolate.

Question 7: Line plot shows: 5 (3 X's), 6 (5 X's), 7 (2 X's). Total students: ___

Answer: 10

3 + 5 + 2 = 10 students total.

Question 8: Graph shows sales: Mon (20), Tue (25), Wed (30). What's the trend?

Answer: 0

20 → 25 → 30 shows sales going up (increasing).

Question 9: Bar graphs are best for showing categorical data like favorite pets.

Answer: True

True! Bar graphs work great for categories.

Question 10: What's the mode in this data: 3, 5, 3, 7, 3, 5? ___

Answer: 3

3 appears most often (3 times), so it's the mode.

Question 11: A coin has 2 sides. Probability of flipping heads?

Answer: 0

1 favorable outcome out of 2 possible = 1/2 = 50%.

Question 12: Bag: 3 red, 2 blue marbles. Probability of picking red: ___

Answer: 3/5

3 red out of 5 total = 3/5 probability.

Question 13: An event with probability 0 is impossible.

Answer: True

True! Probability 0 means it cannot happen.

Question 14: Spinner: 4 equal sections (red, blue, green, yellow). Probability of blue?

Answer: 0

1 blue out of 4 equal sections = 1/4 = 25%.

Question 15: Die shows 1-6. Probability of rolling even number: ___

Answer: 3/6

Even numbers: 2, 4, 6 (3 outcomes) out of 6 total = 3/6 = 1/2.

Question 16: Survey: Pizza (12), Burgers (8), Tacos (10). Which got the least votes?

Answer: Burgers

Burgers has 8 votes, which is less than Pizza (12) and Tacos (10).

Question 17: Bag: 4 green, 1 yellow ball. Which is more likely when picking randomly?

Answer: 0

Green: 4/5 chance. Yellow: 1/5 chance. Green is more likely!

Question 18: Data: 10, 12, 10, 15, 12, 10. Frequency of 10: ___

Answer: 3

The value 10 appears 3 times.

Question 19: Weather forecast of 70% chance of rain means rain is likely.

Answer: True

True! 70% (above 50%) means high probability – rain is likely.

Question 20: Line plot: Most X's at score 85. What does this mean?

Answer: 85 is most common

The tallest stack shows the mode – 85 is the most frequent score.

Question 21: Cards: 5 red, 5 black. Probability of picking red?

Answer: 0

5 red out of 10 total = 5/10 = 1/2 = 50%.

Question 22: How many tally marks represent 8? Answer: |||| ___

Answer: |||

8 = 5 + 3, so one group of |||| plus |||.

Question 23: In a line plot, the tallest stack shows the mode.

Answer: True

True! The tallest stack = most frequent value = mode.

Question 24: Which event is IMPOSSIBLE?

Answer: 0

A 6-sided die only has 1-6, so rolling 8 is impossible (probability 0).

Question 25: Bar graph shows: Dogs (12), Cats (8), Fish (6), Birds (4). Total pets?

Answer: 30

12 + 8 + 6 + 4 = 30 total pets.

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