MoGEA Test Statistics, Probability, and Data Analysis 2 — Questions and Answers
Question 1: What does a scatter plot primarily show?
- The frequency of each category in a data set.
- The relationship or correlation between two variables. (Correct answer)
- The distribution of a single variable over time.
- The proportion of each part to a whole.
Correct answer: The relationship or correlation between two variables.
A scatter plot displays data points for two variables to reveal patterns, trends, or correlations between them.
Question 2: If you flip a fair coin twice, what is the probability of getting heads both times?
- 1/4 (Correct answer)
- 1/2
- 1/3
- 3/4
Correct answer: 1/4
P(heads) × P(heads) = 1/2 × 1/2 = 1/4 for two independent coin flips.
Question 3: In a data set, the value that appears most frequently is the:
- Mean
- Median
- Mode (Correct answer)
- Range
Correct answer: Mode
The mode is the value that appears most often in a data set.
Question 4: A pie chart shows that 30% of students prefer math and 45% prefer reading. What percentage prefer other subjects?
- 15%
- 20%
- 25% (Correct answer)
- 35%
Correct answer: 25%
100% − 30% − 45% = 25% prefer other subjects since all percentages must sum to 100%.
Question 5: A class of 20 students took a test; 8 scored above 80. What is the relative frequency of students scoring above 80?
- 8%
- 20%
- 30%
- 40% (Correct answer)
Correct answer: 40%
Relative frequency = 8/20 = 0.40 = 40%.
Question 6: A positive correlation between two variables means:
- As one variable increases, the other decreases.
- As one variable increases, the other also increases. (Correct answer)
- The two variables are unrelated.
- One variable causes the other to change.
Correct answer: As one variable increases, the other also increases.
A positive correlation means both variables tend to move in the same direction — as one increases, so does the other.
MoGEA Test Statistics, Probability, and Data Analysis 2
What does a scatter plot primarily show?