Math Math Statistics and Data Analysis 2 — Questions and Answers
Question 1: A spinner has 8 equal sections numbered 1 through 8. What is the probability of landing on an even number?
- 1/2 (Correct answer)
- 1/4
- 3/8
- 1/8
Correct answer: 1/2
There are 4 even numbers (2,4,6,8) out of 8 total sections: P = 4/8 = 1/2.
Question 2: What is the median of 11, 14, 6, 9, 18, 3?
- 10 (Correct answer)
- 9
- 11
- 14
Correct answer: 10
Ordered: 3, 6, 9, 11, 14, 18 — median = (9 + 11) ÷ 2 = 10.
Question 3: In a class of 30 students, 18 play sports. What percent play sports?
- 60% (Correct answer)
- 50%
- 40%
- 18%
Correct answer: 60%
Percent = (18 ÷ 30) × 100 = 0.6 × 100 = 60%.
Question 4: A box-and-whisker plot shows Q1 = 20, median = 30, Q3 = 45. What is the interquartile range (IQR)?
- 25 (Correct answer)
- 15
- 10
- 30
Correct answer: 25
IQR = Q3 − Q1 = 45 − 20 = 25.
Question 5: Two fair coins are flipped. What is the probability of getting exactly two heads?
- 1/4 (Correct answer)
- 1/2
- 3/4
- 1/3
Correct answer: 1/4
Outcomes: HH, HT, TH, TT — P(HH) = 1/4.
Question 6: Which measure of central tendency is most affected by an extreme outlier?
- Mean (Correct answer)
- Median
- Mode
- Range
Correct answer: Mean
The mean is calculated using all values, so a very large or small outlier shifts it significantly.
Math Math Statistics and Data Analysis 2
A spinner has 8 equal sections numbered 1 through 8.
What is the probability of landing on an even number?