ISAT Data Interpretation: Graphs/Tables 5 — Questions and Answers
Question 1: A table shows survey results on preferred transport mode for 200 commuters: Car=90, Bus=55, Train=35, Bicycle=12, Walk=8. What is the ratio of commuters preferring public transport (Bus + Train) to those preferring private transport (Car + Bicycle)?
- 9:10
- 90:102 (Correct answer)
- 18:20
- 2:3
Correct answer: 90:102
Public = 55+35 = 90; Private = 90+12 = 102; ratio = 90:102, which simplifies to 15:17.
Question 2: A grouped bar chart shows the number of male and female employees promoted in three departments. IT: M=12, F=8. Sales: M=9, F=14. HR: M=5, F=11. What percentage of all promotions went to female employees?
- 44.9%
- 53.6%
- 46.4%
- 55.9% (Correct answer)
Correct answer: 55.9%
Total females promoted = 8+14+11 = 33; Total promotions = (12+8)+(9+14)+(5+11) = 20+23+16 = 59; Percentage = 33/59 × 100 ≈ 55.9%.
Question 3: A time-series graph shows a country's GDP growth rate (%) for 8 years: 2%, 3.5%, 4%, 2.5%, -1%, 1%, 3%, 4.5%. In how many years did the growth rate exceed the 8-year average?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Average = (2+3.5+4+2.5-1+1+3+4.5)/8 = 19.5/8 = 2.4375%; years exceeding this: 3.5%, 4%, 4.5%, 3% = 4 years.
Question 4: A table shows the number of goals scored by a football team each season: Season 1: 45, Season 2: 52, Season 3: 38, Season 4: 61, Season 5: 54. The team claims their median season goal tally is 52. Is this claim correct?
- Yes, the median is 52 (Correct answer)
- No, the median is 45
- No, the median is 54
- No, the median is 50
Correct answer: Yes, the median is 52
Arranged in order: 38, 45, 52, 54, 61 — the middle value (3rd of 5) is 52, so the claim is correct.
Question 5: A graph shows the results of a clinical trial where the x-axis shows drug dosage (mg) and the y-axis shows symptom reduction (%). The data points suggest a logarithmic relationship. At 10mg there is 30% reduction, at 100mg there is 60% reduction. Approximately what reduction would be expected at 1000mg?
- 75%
- 80%
- 90% (Correct answer)
- 120%
Correct answer: 90%
Each tenfold increase in dosage adds ~30% reduction; 1000mg is another tenfold increase from 100mg, predicting approximately 60+30=90% reduction.
Question 6: A back-to-back stem-and-leaf plot compares the ages of employees in two departments. The data shows Department A's ages cluster between 35-49, while Department B's ages cluster between 25-39. Which statement about the data is most accurate?
- Department A has a higher mean age than Department B (Correct answer)
- Department B has a higher mean age than Department A
- Both departments have the same mean age
- The plot provides insufficient data to compare means
Correct answer: Department A has a higher mean age than Department B
Since Department A's ages cluster in the 35-49 range and Department B's in the 25-39 range, Department A's mean age is higher.
Question 7: A table shows annual rainfall (mm) for a city over 5 years: 420, 385, 510, 445, 390. A meteorologist states that the range of annual rainfall over this period is 125 mm. Is this correct?
- Yes, the range is 125 mm (Correct answer)
- No, the range is 105 mm
- No, the range is 130 mm
- No, the range is 120 mm
Correct answer: Yes, the range is 125 mm
Range = maximum - minimum = 510 - 385 = 125 mm, so the meteorologist's statement is correct.
ISAT Data Interpretation: Graphs/Tables 5
A table shows survey results on preferred transport mode for 200 commuters: Car=90, Bus=55, Train=35, Bicycle=12, Walk=8.
What is the ratio of commuters preferring public transport (Bus + Train) to those preferring private transport (Car + Bicycle)?