CHSPE Data Analysis 2 — Questions and Answers
Question 1: A scatter plot shows points clustered tightly around a line that goes from the lower-left to the upper-right. What does this indicate?
- No correlation
- Strong negative correlation
- Strong positive correlation (Correct answer)
- Weak positive correlation
Correct answer: Strong positive correlation
Points clustered tightly along an upward-sloping line indicate a strong positive correlation between the two variables.
Question 2: A data set has values: 4, 7, 7, 9, 13. What is the median?
- 7 (Correct answer)
- 8
- 9
- 6
Correct answer: 7
When five values are arranged in order, the median is the middle (third) value, which is 7.
Question 3: A survey of 200 students found 50 prefer math. What percentage prefer math?
- 20%
- 25% (Correct answer)
- 30%
- 40%
Correct answer: 25%
50 out of 200 = 50/200 = 0.25 = 25%.
Question 4: Which graph is BEST for showing how a city's population changed over 10 years?
- Bar graph
- Pie chart
- Line graph (Correct answer)
- Stem-and-leaf plot
Correct answer: Line graph
A line graph is best for showing change over time because it emphasizes trends and continuity.
Question 5: A box plot's interquartile range (IQR) is the distance between which two values?
- Minimum and maximum
- Mean and median
- Q1 and Q3 (Correct answer)
- Q2 and Q4
Correct answer: Q1 and Q3
The IQR is Q3 minus Q1, representing the spread of the middle 50% of the data.
Question 6: The following scores were recorded: 55, 60, 62, 65, 90. Which measure is most affected by the score of 90?
- Median
- Mode
- Mean (Correct answer)
- Range only
Correct answer: Mean
The mean is pulled toward extreme values (outliers), making it the measure most affected by the score of 90.
Question 7: A two-way table shows 30 boys and 20 girls surveyed. 18 boys and 10 girls chose basketball. What fraction of all students chose basketball?
- 28/50 (Correct answer)
- 18/30
- 10/20
- 28/30
Correct answer: 28/50
18 + 10 = 28 students chose basketball out of 50 total, giving 28/50.
CHSPE Data Analysis 2
A scatter plot shows points clustered tightly around a line that goes from the lower-left to the upper-right.
What does this indicate?