BMST - Basic Math and Science Data Interpretation and Probability Questions and Answers 3 — Questions and Answers
Question 1: A scatter plot shows the number of hours studied vs. test scores for 10 students. The data points cluster near a line rising from left to right. What does this indicate?
- No relationship between study hours and scores
- A positive correlation between study hours and scores (Correct answer)
- A negative correlation between study hours and scores
- Study hours cause higher test scores with certainty
Correct answer: A positive correlation between study hours and scores
A rising trend in a scatter plot indicates a positive correlation, meaning as study hours increase, test scores tend to increase.
Question 2: A bag contains 4 red, 3 blue, and 5 green marbles. If one marble is drawn at random, what is the probability it is NOT green?
- 5/12
- 7/12 (Correct answer)
- 5/7
- 1/2
Correct answer: 7/12
There are 4+3=7 non-green marbles out of 12 total, so P(not green) = 7/12.
Question 3: A frequency table shows: Science scores 60-69 (5 students), 70-79 (12 students), 80-89 (8 students), 90-99 (5 students). What percentage of students scored 80 or above?
- 43%
- 37% (Correct answer)
- 33%
- 50%
Correct answer: 37%
Students scoring 80+ = 8+5=13 out of 30 total; 13/30 ≈ 43.3% rounds to 43%.
Question 4: A line graph shows monthly rainfall (in inches): Jan=2, Feb=1.5, Mar=3, Apr=4, May=5, Jun=2. What is the range of the rainfall data?
- 2 inches
- 3 inches
- 3.5 inches (Correct answer)
- 5 inches
Correct answer: 3.5 inches
Range = maximum − minimum = 5 − 1.5 = 3.5 inches.
Question 5: Two fair six-sided dice are rolled. What is the probability that the sum equals 7?
- 1/6 (Correct answer)
- 7/36
- 1/12
- 6/36
Correct answer: 1/6
There are 6 ways to get a sum of 7 out of 36 possible outcomes, so probability = 6/36 = 1/6.
Question 6: A bar chart compares the production of four factories (A=200, B=350, C=150, D=300). Which factory produced exactly twice as much as Factory C?
- Factory A
- Factory B (Correct answer)
- Factory D
- None of the factories
Correct answer: Factory B
Factory C produced 150 units; twice that is 300, which equals Factory D's production.
Question 7: A data set has values: 12, 15, 15, 18, 20, 22, 22, 22, 25. What is the mode?
- 15
- 18
- 20
- 22 (Correct answer)
Correct answer: 22
The mode is the value that appears most frequently; 22 appears 3 times, more than any other value.
BMST - Basic Math and Science Data Interpretation and Probability Questions and Answers 3
A scatter plot shows the number of hours studied vs. test scores for 10 students.
The data points cluster near a line rising from left to right.
What does this indicate?