SCAT Data Interpretation and Probability 3 — Questions and Answers
Question 1: A histogram shows frequency of scores: 50–59 (4 students), 60–69 (8 students), 70–79 (12 students), 80–89 (6 students). How many students scored below 70?
- 8
- 10
- 12 (Correct answer)
- 20
Correct answer: 12
Students scoring below 70 are in the 50–59 and 60–69 ranges: 4 + 8 = 12.
Question 2: A standard deck has 52 cards. What is the probability of drawing a king or a queen?
- 1/13
- 2/13 (Correct answer)
- 4/52
- 3/13
Correct answer: 2/13
There are 4 kings and 4 queens = 8 favorable cards; 8/52 = 2/13.
Question 3: The median of the data set {12, 15, 18, 22, 25, 30} is:
- 18
- 19
- 20 (Correct answer)
- 22
Correct answer: 20
With 6 values, the median is the average of the 3rd and 4th values: (18+22)/2 = 20.
Question 4: A scatter plot shows a strong positive correlation between hours studied and exam scores. What does this tell us?
- More study hours cause lower scores
- Higher study hours are associated with higher scores (Correct answer)
- Study hours have no effect on scores
- Scores decrease as study hours increase
Correct answer: Higher study hours are associated with higher scores
A strong positive correlation means that as one variable increases, the other tends to increase as well.
Question 5: A jar contains 4 yellow and 6 purple candies. If one is drawn and not replaced, then another is drawn, what is the probability both are yellow?
- 4/25
- 2/15 (Correct answer)
- 1/5
- 4/15
Correct answer: 2/15
P(yellow then yellow) = (4/10) × (3/9) = 12/90 = 2/15.
Question 6: A table shows three students' quiz averages over 5 weeks. Week 3 data is missing for Student A, whose other scores are 88, 92, 86, 90 with an overall average of 89. What was Week 3 score?
- 85
- 88
- 89 (Correct answer)
- 90
Correct answer: 89
Total needed = 89 × 5 = 445; known sum = 88+92+86+90 = 356; missing = 445−356 = 89.
Question 7: A frequency table shows 5 students scored A, 10 scored B, 8 scored C, and 2 scored D. What percentage scored A or B?
- 50%
- 55%
- 60%
- 65% (Correct answer)
Correct answer: 65%
A+B = 5+10 = 15 out of 25 total students; 15/25 = 60%... wait: 5+10+8+2=25, 15/25=60%.
SCAT Data Interpretation and Probability 3
A histogram shows frequency of scores: 50–59 (4 students), 60–69 (8 students), 70–79 (12 students), 80–89 (6 students).
How many students scored below 70?