SCAT Data Interpretation and Probability 2 — Questions and Answers
Question 1: A bar graph shows monthly sales: Jan=40, Feb=55, Mar=35, Apr=70. What is the mean monthly sales?
- 45
- 50 (Correct answer)
- 55
- 60
Correct answer: 50
Mean = (40+55+35+70)/4 = 200/4 = 50.
Question 2: A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of NOT picking a blue marble?
- 1/2
- 2/5 (Correct answer)
- 1/5
- 3/5
Correct answer: 2/5
Non-blue marbles = 3+2 = 5 out of 10 total, so probability = 5/10 = 2/5.
Question 3: A pie chart shows 25% of students prefer math, 40% science, 20% English, and 15% history. If there are 200 students, how many prefer science?
- 40
- 50
- 80 (Correct answer)
- 100
Correct answer: 80
40% of 200 = 0.40 × 200 = 80 students.
Question 4: Two fair coins are flipped. What is the probability of getting exactly one head?
- 1/4
- 1/2 (Correct answer)
- 3/4
- 1
Correct answer: 1/2
Outcomes with exactly one head: HT and TH out of {HH, HT, TH, TT} = 2/4 = 1/2.
Question 5: A line graph shows temperatures: Mon=72°, Tue=68°, Wed=75°, Thu=71°, Fri=74°. On which day was the temperature lowest?
- Monday
- Tuesday (Correct answer)
- Thursday
- Friday
Correct answer: Tuesday
Tuesday's temperature of 68° is the lowest value in the data set.
Question 6: A table shows test scores: 60, 70, 70, 80, 90, 90, 90. What is the mode?
- 70
- 80
- 90 (Correct answer)
- 75
Correct answer: 90
90 appears three times, more than any other value, making it the mode.
Question 7: A spinner has 8 equal sections numbered 1–8. What is the probability of landing on a number greater than 5?
- 1/4
- 3/8 (Correct answer)
- 1/2
- 5/8
Correct answer: 3/8
Numbers greater than 5 are 6, 7, and 8 — that is 3 out of 8 sections.
A bar graph shows monthly sales: Jan=40, Feb=55, Mar=35, Apr=70.
What is the mean monthly sales?