ISAT Data Interpretation: Graphs/Tables 3

Question 1

A frequency table shows the ages of 50 survey respondents: 18-24: 12, 25-34: 18, 35-44: 11, 45-54: 6, 55+: 3. What is the relative frequency of the 25-34 age group?

Accepted Answer

0.36

Answer

Relative frequency = 18/50 = 0.36.

Question 2

A stacked bar chart shows the composition of a country's energy production (GWh) across three years. The chart shows that total production increased from 500 GWh in Year 1 to 650 GWh in Year 3. If renewable energy represented 20% in Year 1 and 35% in Year 3, how many more GWh of renewable energy were produced in Year 3 than Year 1?

Accepted Answer

127.5 GWh

Answer

Year 1 renewable = 20% × 500 = 100 GWh; Year 3 renewable = 35% × 650 = 227.5 GWh; difference = 127.5 GWh.

Question 3

A line graph tracks a company's quarterly revenue ($million): Q1=4.2, Q2=5.8, Q3=5.1, Q4=6.9. What was the average quarterly revenue for the year?

Accepted Answer

$5.5M

Answer

Average = (4.2+5.8+5.1+6.9)/4 = 22.0/4 = $5.5M.

Question 4

A histogram displays the distribution of test scores for a class of 30 students in intervals of 10. The bars show: 50-59: 3, 60-69: 7, 70-79: 11, 80-89: 6, 90-99: 3. Which description best fits this distribution?

Accepted Answer

Approximately normal (bell-shaped)

Answer

The distribution peaks in the middle interval (70-79) and tapers symmetrically on both sides, indicating an approximately normal bell-shaped distribution.

Question 5

A table shows the production costs and selling prices for three products. Product X: cost=$15, price=$24. Product Y: cost=$40, price=$58. Product Z: cost=$8, price=$14. Ranking by profit margin percentage from highest to lowest, which order is correct?

Accepted Answer

Z, X, Y

Answer

Z margin = 6/8=75%, X margin = 9/15=60%, Y margin = 18/40=45%; so Z > X > Y.

ISAT - International Student Admissions Test Practice Test

ISAT - International Student Admissions Test Practice Test

ISAT Data Interpretation: Graphs/Tables 3