BMST - Basic Math and Science Data Interpretation and Probability Questions and Answers 4 — Questions and Answers
Question 1: A pie chart shows survey results about favorite subjects: Math 30%, Science 25%, English 20%, History 15%, Art 10%. If 200 students were surveyed, how many chose Math or Science?
- 55
- 100
- 110 (Correct answer)
- 125
Correct answer: 110
Math (30%) + Science (25%) = 55% of 200 = 0.55 × 200 = 110 students.
Question 2: A standard deck of 52 cards is shuffled. What is the probability of drawing a face card (Jack, Queen, or King)?
- 1/13
- 3/13 (Correct answer)
- 3/52
- 12/52
Correct answer: 3/13
There are 12 face cards (3 per suit × 4 suits) out of 52 cards; 12/52 = 3/13.
Question 3: The table below shows temperature readings (°F) for a week: 72, 68, 75, 80, 65, 70, 73. What is the median temperature?
- 70
- 71.9
- 72 (Correct answer)
- 73
Correct answer: 72
Sorted values: 65, 68, 70, 72, 73, 75, 80 — the middle (4th) value is 72.
Question 4: A double bar graph compares male and female enrollment in two programs. Program A: 120 males, 80 females. Program B: 90 males, 110 females. In which program do females outnumber males, and by how much?
- Program A, by 40
- Program B, by 20 (Correct answer)
- Program B, by 10
- Neither program
Correct answer: Program B, by 20
In Program B, females (110) outnumber males (90) by 110 − 90 = 20.
Question 5: A coin is flipped 3 times. What is the probability of getting exactly 2 heads?
- 1/4
- 3/8 (Correct answer)
- 1/2
- 1/8
Correct answer: 3/8
The combinations with exactly 2 heads are HHT, HTH, THH — that's 3 out of 8 total outcomes = 3/8.
Question 6: A histogram shows the distribution of test scores. The tallest bar covers the range 70-79. What does this tell you about the data?
- The average score is between 70-79
- Most students scored between 70-79 (Correct answer)
- No students scored below 70
- The median is exactly 74.5
Correct answer: Most students scored between 70-79
The tallest bar in a histogram represents the interval with the highest frequency, so most students scored in that range.
Question 7: A class records the number of books read per month over 5 months: 4, 7, 3, 8, 3. What is the mean number of books read?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
Mean = (4+7+3+8+3)/5 = 25/5 = 5 books per month.
A pie chart shows survey results about favorite subjects: Math 30%, Science 25%, English 20%, History 15%, Art 10%.
If 200 students were surveyed, how many chose Math or Science?