KYOTE Statistics and Probability 1 — Questions and Answers
Question 1: A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean score?
- 82 (Correct answer)
- 85
- 78
- 90
Correct answer: 82
The mean is calculated by adding all scores (72+85+90+68+95=410) and dividing by 5, giving 82.
Question 2: What is the median of the data set: 14, 7, 21, 3, 18?
- 14 (Correct answer)
- 7
- 18
- 21
Correct answer: 14
When arranged in order (3, 7, 14, 18, 21), the middle value is 14.
Question 3: In the data set {4, 7, 7, 9, 12, 7, 3}, what is the mode?
- 4
- 9
- 7 (Correct answer)
- 12
Correct answer: 7
The mode is 7 because it appears three times, more than any other value in the set.
Question 4: The high temperatures for a week were 78, 82, 75, 90, 83, 79, and 85°F. What is the range?
- 12
- 15 (Correct answer)
- 10
- 7
Correct answer: 15
The range is the difference between the highest and lowest values: 90 − 75 = 15.
Question 5: A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/3
- 3/10 (Correct answer)
- 3/5
- 1/5
Correct answer: 3/10
There are 3 blue marbles out of 10 total, so the probability is 3/10.
Question 6: A class recorded weekly study hours: 2, 4, 3, 5, 4, 6, 4, 3, 5, 4. What is the mode?
- 3
- 5
- 4 (Correct answer)
- 6
Correct answer: 4
The value 4 appears four times, which is more than any other value, making it the mode.
Question 7: A fair six-sided die is rolled. What is the probability of rolling a number greater than 4?
- 1/3 (Correct answer)
- 1/2
- 1/6
- 2/3
Correct answer: 1/3
Numbers greater than 4 are 5 and 6, giving 2 favorable outcomes out of 6 total, which simplifies to 1/3.
KYOTE Statistics and Probability 1
A student scored 72, 85, 90, 68, and 95 on five tests.
What is the mean score?