BMST Data Interpretation and Probability 5 — Questions and Answers
Question 1: A bar graph compares sales in Q1 and Q2. Q1=$45,000 and Q2=$54,000. What is the percent increase from Q1 to Q2?
- 20% (Correct answer)
- 15%
- 25%
- 18%
Correct answer: 20%
Percent increase = (54,000−45,000)/45,000 × 100 = 9,000/45,000 × 100 = 20%.
Question 2: A weather report states a 30% chance of rain on Saturday and 40% chance on Sunday. Assuming independence, what is the probability it rains on both days?
- 12% (Correct answer)
- 70%
- 58%
- 35%
Correct answer: 12%
P(both) = 0.30 × 0.40 = 0.12 = 12%.
Question 3: Data: 14, 22, 18, 35, 20. After removing the outlier 35, what happens to the mean?
- It decreases (Correct answer)
- It increases
- It stays the same
- It becomes the median
Correct answer: It decreases
Removing a value above the mean pulls the mean down; original mean=21.8, new mean=18.5.
Question 4: A Venn diagram shows 20 students like soccer, 15 like basketball, and 8 like both. How many students like only soccer?
- 12 (Correct answer)
- 8
- 20
- 15
Correct answer: 12
Students who like only soccer = 20 − 8 = 12.
Question 5: A quality control chart shows 2% of items are defective on average. In a batch of 500 items, how many are expected to be defective?
- 10 (Correct answer)
- 5
- 20
- 15
Correct answer: 10
Expected defects = 2% × 500 = 0.02 × 500 = 10.
Question 6: A cumulative frequency graph shows 80 students scored below 75 out of 120 total. What percentile is a score of 75?
- 66.7th (Correct answer)
- 75th
- 80th
- 60th
Correct answer: 66.7th
Percentile = (80/120) × 100 ≈ 66.7th percentile.
Question 7: A table shows: P(A) = 0.6, P(B|A) = 0.5. What is P(A and B)?
- 0.3 (Correct answer)
- 0.5
- 0.6
- 1.1
Correct answer: 0.3
P(A and B) = P(A) × P(B|A) = 0.6 × 0.5 = 0.3.
BMST Data Interpretation and Probability 5
A bar graph compares sales in Q1 and Q2.
Q1=$45,000 and Q2=$54,000.
What is the percent increase from Q1 to Q2?