BMST - Basic Math and Science Data Interpretation and Probability Questions and Answers 5 ā Questions and Answers
Question 1: A table shows the probability of rain for 5 days: Mon=0.2, Tue=0.6, Wed=0.5, Thu=0.1, Fri=0.8. On which day is rain LEAST likely?
- Monday
- Tuesday
- Thursday (Correct answer)
- Friday
Correct answer: Thursday
Thursday has the lowest probability of rain at 0.1, meaning only a 10% chance.
Question 2: A line graph shows a company's monthly profits declining steadily from January to June. Which term best describes this trend?
- Positive linear trend
- Negative linear trend (Correct answer)
- Cyclical trend
- Random variation
Correct answer: Negative linear trend
A steady decline over time is a negative linear trend, meaning the value decreases consistently.
Question 3: From a group of 5 students, 2 are chosen at random for a committee. How many different combinations are possible?
- 5
- 10 (Correct answer)
- 20
- 25
Correct answer: 10
The number of combinations is C(5,2) = 5!/(2!Ć3!) = 10.
Question 4: A stem-and-leaf plot shows data with stems 2, 3, 4 and leaves 2|3 5 7, 3|1 4 8, 4|0 2. What is the largest value in the data set?
- 40
- 42 (Correct answer)
- 48
- 50
Correct answer: 42
The largest stem is 4 and its largest leaf is 2, giving the value 42.
Question 5: Two events A and B are independent. P(A) = 0.4 and P(B) = 0.5. What is P(A and B)?
- 0.1
- 0.2 (Correct answer)
- 0.45
- 0.9
Correct answer: 0.2
For independent events, P(A and B) = P(A) Ć P(B) = 0.4 Ć 0.5 = 0.2.
Question 6: A box plot shows: minimum=10, Q1=20, median=30, Q3=45, maximum=60. What is the interquartile range (IQR)?
- 20
- 25 (Correct answer)
- 30
- 50
Correct answer: 25
IQR = Q3 ā Q1 = 45 ā 20 = 25.
Question 7: A survey of 80 people finds that 40% prefer Brand X and 35% prefer Brand Y. Based on this data, if 200 people are surveyed next time, how many would be expected to prefer Brand X?
- 40
- 70
- 80 (Correct answer)
- 100
Correct answer: 80
Expected Brand X preference = 40% of 200 = 0.40 Ć 200 = 80 people.
BMST - Basic Math and Science Data Interpretation and Probability Questions and Answers 5
A table shows the probability of rain for 5 days: Mon=0.2, Tue=0.6, Wed=0.5, Thu=0.1, Fri=0.8.
On which day is rain LEAST likely?