Statistical Representations Quiz
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5 questions, one answer each
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1. A histogram has class widths of 10 cm and 20 cm for different classes. If the frequency for the 10 cm class is 30 and the frequency for the 20 cm class is 40, which class has the greater frequency density?
- A. The 10 cm class has greater frequency density (3 compared to 2)
- B. The 20 cm class has greater frequency density (4 compared to 3)
- C. Both classes have equal frequency density
- D. Cannot be determined without knowing the actual measurements
2. A scatter diagram shows that as temperature increases, ice cream sales increase. This relationship is best described as:
- A. Negative correlation
- B. Positive correlation
- C. No correlation
- D. Causal relationship
3. A pie chart shows that 45% of students prefer chocolate. What angle should be used to represent this sector?
- A. 81°
- B. 135°
- C. 162°
- D. 180°
4. A cumulative frequency graph shows that 150 students scored below 60 marks out of a total of 200 students. What is the median mark?
- A. 60 marks
- B. The mark corresponding to a cumulative frequency of 100
- C. The mark corresponding to a cumulative frequency of 75
- D. Cannot be determined from this information
5. Two box plots are used to compare the test scores of two classes. Class A has a larger interquartile range (IQR) than Class B, but Class B has a higher median. Which statement is most accurate?
- A. Class A performed better overall because it has a larger IQR
- B. Class B performed better overall because it has a higher median
- C. Class A has more variability in the middle 50% of scores, but Class B's typical score is higher
- D. The distributions cannot be compared without knowing the range