NBT Quantitative Literacy Data Interpretation 3

Question 1

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?

Accepted Answer

Law

Answer

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

Question 2

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?

Accepted Answer

80

Answer

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

Question 3

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?

Accepted Answer

83.3 mm

Answer

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

Question 4

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?

Accepted Answer

120 units

Answer

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

Question 5

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

Accepted Answer

12

Answer

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

(NBT) National Benchmark Test Practice Test

(NBT) National Benchmark Test Practice Test

NBT Quantitative Literacy Data Interpretation 3