STAT Analysis of Tables and Charts 2 — Questions and Answers
Question 1: A line graph shows sales rising from $20,000 in January to $50,000 in June, then falling to $35,000 by December. Which statement best describes the trend?
- Sales increased steadily throughout the year
- Sales peaked mid-year then declined but remained above the starting value (Correct answer)
- Sales ended lower than they started
- Sales were highest in December
Correct answer: Sales peaked mid-year then declined but remained above the starting value
Sales peaked in June ($50K) then declined to $35K in December, which is still above the January starting point of $20K.
Question 2: A pie chart shows that Category A = 40%, Category B = 35%, Category C = 15%, and Category D = 10%. If the total is 200 units, how many units does Category B represent?
- 70 units (Correct answer)
- 80 units
- 35 units
- 65 units
Correct answer: 70 units
35% of 200 units = 0.35 × 200 = 70 units.
Question 3: A table shows test scores for four students: Alex 78, Beth 92, Carlos 85, Diana 61. What is the median score?
- 78
- 81.5 (Correct answer)
- 85
- 79
Correct answer: 81.5
Ordered scores are 61, 78, 85, 92; the median of four values is the average of the two middle values: (78 + 85) / 2 = 81.5.
Question 4: A bar chart compares four cities' average rainfall. City W = 30mm, City X = 45mm, City Y = 20mm, City Z = 55mm. By approximately what percentage does City Z exceed City Y?
- 175% (Correct answer)
- 75%
- 35%
- 145%
Correct answer: 175%
City Z (55mm) is 175% of City Y (20mm): (55 / 20) × 100 = 275%, meaning it exceeds City Y by 175%.
Question 5: A scatter plot shows a cluster of points that slopes downward from left to right. What type of correlation does this indicate?
- Positive correlation
- Negative correlation (Correct answer)
- No correlation
- Perfect correlation
Correct answer: Negative correlation
A downward slope from left to right indicates a negative correlation, meaning as the x-variable increases, the y-variable decreases.
Question 6: A frequency table shows: Score 1-10 has 5 students, 11-20 has 12 students, 21-30 has 8 students, 31-40 has 3 students. In which interval does the median fall?
- 1-10
- 11-20 (Correct answer)
- 21-30
- 31-40
Correct answer: 11-20
Total students = 28, so the median falls between the 14th and 15th values; cumulative frequency reaches 17 after the 11-20 interval, which contains both middle values.
Question 7: A double bar chart compares male and female participation in two sports. Swimming: Male 60, Female 80. Tennis: Male 90, Female 70. Which statement is accurate?
- Females outnumber males in both sports
- Males outnumber females in both sports
- Females outnumber males only in swimming (Correct answer)
- Total swimming participation equals total tennis participation
Correct answer: Females outnumber males only in swimming
In swimming, females (80) exceed males (60), but in tennis, males (90) exceed females (70), so females outnumber males only in swimming.
STAT Analysis of Tables and Charts 2
A line graph shows sales rising from $20,000 in January to $50,000 in June, then falling to $35,000 by December.
Which statement best describes the trend?