Quantitative Literacy Data Interpretation Flashcards

A double bar chart compares male and female enrollment in four university faculties. Science: M=300, F=250; Arts: M=180, F=320; Law: M=210, F=190; Engineering: M=400, F=150. Which faculty has the smallest gender gap?

Answer: Law

Gender gaps: Science=50, Arts=140, Law=20, Engineering=250 — Law has the smallest gap of 20.

A cumulative frequency graph (ogive) shows that 60% of students scored below 55 marks. If the class has 200 students, how many scored 55 or above?

Answer: 80

60% scored below 55, so 40% scored 55 or above; 40% of 200 = 80 students.

A table shows rainfall (mm) over six months: Jan=80, Feb=60, Mar=95, Apr=110, May=70, Jun=85. What is the mean monthly rainfall?

Answer: 83.3 mm

Sum = 80+60+95+110+70+85 = 500; Mean = 500/6 ≈ 83.3 mm.

A stacked bar chart shows energy sources (coal, solar, wind) for three years. In 2022 the total energy was 1,000 units, with coal at 60%. In 2024 coal dropped to 40% of a total of 1,200 units. How many fewer coal units were used in 2024 than 2022?

Answer: 120 units

2022 coal = 0.60 × 1,000 = 600; 2024 coal = 0.40 × 1,200 = 480; difference = 120 units.

A data set has values: 10, 14, 14, 18, 22, 26, 30. The interquartile range (IQR) is:

Answer: 12

Q1 = 14, Q3 = 26; IQR = Q3 − Q1 = 26 − 14 = 12.

A line graph shows a company's profit over 5 years. The graph shows a steady increase until Year 3, then a sharp decline in Year 4, followed by a slight recovery in Year 5. Which statement best describes the trend?

Answer: Profit peaked in Year 3 and has not fully recovered

The trend shows growth to Year 3, a sharp drop in Year 4, and only slight recovery in Year 5, so it has not returned to its peak.

A pie chart shows budget allocation: Research 20%, Marketing 30%, Operations 35%, Admin 15%. If the total budget is $500,000, how much more is spent on Operations than Research?

Answer: $75,000

Operations = 35% × $500,000 = $175,000; Research = 20% × $500,000 = $100,000; difference = $75,000.