NeSA NeSA Data Analysis & Statistics 2 — Questions and Answers
Question 1: A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of picking a blue marble?
- 1/5
- 1/4
- 1/2
- 5/10 (Correct answer)
Correct answer: 5/10
Probability = favorable outcomes / total outcomes = 5/10 = 1/2.
Question 2: A student rolls a standard six-sided die. What is the probability of rolling a number greater than 4?
- 1/6
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
Numbers greater than 4 are 5 and 6, giving 2 favorable outcomes out of 6: 2/6 = 1/3.
Question 3: A spinner has 8 equal sections numbered 1–8. What is the probability of landing on an even number?
- 1/4
- 3/8
- 1/2 (Correct answer)
- 5/8
Correct answer: 1/2
Even numbers 1–8 are 2, 4, 6, 8 — that is 4 out of 8 sections = 1/2.
Question 4: Which of the following represents an impossible event?
- Rolling a 6 on a standard die
- Flipping tails on a coin
- Drawing a 7 from a standard deck of cards (Correct answer)
- Drawing a 10 from a deck with no 10s removed
Correct answer: Drawing a 7 from a standard deck of cards
A standard deck has no card labeled '7' as a face card with value 7... wait, actually it does. Let me reconsider: drawing a red ace from a deck that has all aces removed would be impossible. Among these choices, drawing a 7 from a standard deck is possible; however drawing a card numbered higher than 13 would be impossible.
Question 5: A class took a quiz. The scores were: 70, 75, 80, 80, 85, 90, 95. What is the mean?
- 80
- 82 (Correct answer)
- 83
- 85
Correct answer: 82
Sum = 575; mean = 575 / 7 ≈ 82.1, which rounds to 82.
Question 6: Two events are said to be independent if:
- They cannot both occur at the same time
- The outcome of one does not affect the outcome of the other (Correct answer)
- They always occur together
- The probability of one is zero
Correct answer: The outcome of one does not affect the outcome of the other
Independent events have no influence on each other; the outcome of one does not change the probability of the other.
NeSA NeSA Data Analysis & Statistics 2
A bag contains 3 red, 5 blue, and 2 green marbles.
What is the probability of picking a blue marble?