ISAT Data Interpretation: Graphs/Tables 4 — Questions and Answers
Question 1: A table shows the number of defective items produced by three machines per 1000 units. Machine A: 12, Machine B: 8, Machine C: 15. If Machine A produces 5000 units, Machine B produces 3000 units, and Machine C produces 2000 units, what is the total number of defective items?
- 88
- 96
- 106
- 114 (Correct answer)
Correct answer: 114
Defective: A = 12/1000 × 5000 = 60; B = 8/1000 × 3000 = 24; C = 15/1000 × 2000 = 30; Total = 60+24+30 = 114.
Question 2: A bar chart shows monthly sales figures for a store. The sales in March ($18,500) were 25% higher than February. What were February's sales?
- $13,875
- $14,400
- $14,800 (Correct answer)
- $15,000
Correct answer: $14,800
If March = February × 1.25, then February = $18,500 / 1.25 = $14,800.
Question 3: A graph shows the relationship between temperature (°C) and ice cream sales per day at a shop. At 20°C, 80 units are sold; at 25°C, 110 units; at 30°C, 140 units; at 35°C, 170 units. If the linear trend continues, how many units would be sold at 40°C?
- 190
- 200 (Correct answer)
- 210
- 220
Correct answer: 200
The pattern shows an increase of 30 units per 5°C rise, so at 40°C = 170 + 30 = 200 units.
Question 4: A pie chart shows the distribution of a country's workforce by sector: Agriculture 15%, Manufacturing 25%, Services 45%, Construction 10%, Other 5%. If 240,000 people work in Manufacturing, what is the total workforce?
- 800,000
- 960,000 (Correct answer)
- 1,000,000
- 1,200,000
Correct answer: 960,000
If 25% = 240,000, then total workforce = 240,000 / 0.25 = 960,000.
Question 5: A cumulative frequency graph (ogive) shows the heights of 100 students. The graph shows that 25 students are shorter than 155 cm, and 75 students are shorter than 175 cm. What is the interquartile range (IQR) of student heights?
- 20 cm (Correct answer)
- 25 cm
- 30 cm
- 50 cm
Correct answer: 20 cm
Q1 = 155 cm (25th percentile) and Q3 = 175 cm (75th percentile), so IQR = 175 - 155 = 20 cm.
Question 6: A table compares the export values ($billion) of five countries. Country P: 2.3, Country Q: 4.7, Country R: 1.9, Country S: 3.8, Country T: 2.8. Country Q's exports are approximately what percentage more than Country P's?
- 96%
- 100%
- 104% (Correct answer)
- 108%
Correct answer: 104%
Percentage more = (4.7-2.3)/2.3 × 100 = 2.4/2.3 × 100 ≈ 104%.
Question 7: A line graph shows two companies' monthly profits over 6 months. Company A starts at $50,000 and increases by $5,000 each month. Company B starts at $80,000 and decreases by $3,000 each month. In which month do the two companies first have equal profits?
- Month 3
- Month 4
- Month 5 (Correct answer)
- Month 6
Correct answer: Month 5
Setting equal: 50,000 + 5,000(n-1) = 80,000 - 3,000(n-1); solving gives n-1 = 3.75, so at Month 5 they are closest — at Month 5, A=$70,000 and B=$68,000; at Month 4, A=$65,000 and B=$71,000 — they cross between months 4 and 5, first being approximately equal at Month 5.
ISAT Data Interpretation: Graphs/Tables 4
A table shows the number of defective items produced by three machines per 1000 units.
Machine A: 12, Machine B: 8, Machine C: 15.
If Machine A produces 5000 units, Machine B produces 3000 units, and Machine C produces 2000 units, what is the total number of defective items?