GRE Multi-Step Data Analysis and Graphs 3 — Questions and Answers
Question 1: A boxplot shows a median of 70, first quartile 55, and third quartile 85. What is the interquartile range (IQR)?
- 30 (Correct answer)
- 15
- 20
- 85
Correct answer: 30
IQR = Q3 - Q1 = 85 - 55 = 30.
Question 2: A stacked bar chart shows a month's budget: rent 40%, food 25%, transport 15%, other 20%. If total spending is $2,500, how much is spent on food and transport combined?
- $1,000 (Correct answer)
- $625
- $900
- $1,250
Correct answer: $1,000
Food + transport = 40% of $2,500 = $1,000.
Question 3: A line graph shows a stock at $80 on Monday, dropping 10% Tuesday, then rising 10% Wednesday. What is the Wednesday price?
- $79.20 (Correct answer)
- $80.00
- $78.00
- $81.00
Correct answer: $79.20
Tuesday = $72, and a 10% rise gives $72 × 1.10 = $79.20.
Question 4: A frequency table shows scores: 10 students scored 'A', 15 'B', 20 'C', 5 'D'. If one student is chosen at random, what is the probability of choosing a 'B' student?
- 0.30 (Correct answer)
- 0.15
- 0.40
- 0.25
Correct answer: 0.30
Total = 50 students, and 15/50 = 0.30.
Question 5: A double-line graph shows Product X selling 200 units and Product Y selling 150 units in January. In June, X sells 250 and Y sells 300. What is the change in the combined total from January to June?
- +200 units (Correct answer)
- +100 units
- +150 units
- +250 units
Correct answer: +200 units
January total = 350, June total = 550, so the change is +200 units.
Question 6: A bar graph shows daily visitors: Mon 300, Tue 450, Wed 500, Thu 350, Fri 400. What is the median number of daily visitors?
- 400 (Correct answer)
- 450
- 350
- 500
Correct answer: 400
Ordered values are 300, 350, 400, 450, 500, so the middle value is 400.
Question 7: A pie chart shows expenses totaling $8,000, with a 'Marketing' slice spanning 45 degrees. How much is the Marketing expense?
- $1,000 (Correct answer)
- $900
- $1,200
- $800
Correct answer: $1,000
45/360 = 1/8, and 1/8 of $8,000 = $1,000.
GRE Multi-Step Data Analysis and Graphs 3
A boxplot shows a median of 70, first quartile 55, and third quartile 85.
What is the interquartile range (IQR)?