STAT Data Interpretation from Graphs 5

Question 1

A bar chart shows annual sales for a retail store. Sales in 2022 were $500,000 and in 2023 were $425,000. What was the percentage decrease in sales?

Accepted Answer

15%

Answer

Percentage decrease = (500,000 − 425,000) / 500,000 × 100 = 75,000/500,000 × 100 = 15%.

Question 2

Two overlapping circles in a Venn diagram represent students who play Soccer (30 total) and Basketball (25 total) with 10 students in the overlap. How many students play at least one sport?

Accepted Answer

45

Answer

Using the inclusion-exclusion principle: 30 + 25 − 10 = 45 students play at least one sport.

Question 3

A line graph shows an exponential growth curve for a bacteria population, doubling every hour. After 4 hours starting with 100 bacteria, what does the graph show as the final count?

Accepted Answer

1,600

Answer

Doubling 4 times: 100 × 2⁴ = 100 × 16 = 1,600 bacteria.

Question 4

A scatter plot has a best-fit line with the equation y = 3x + 5, where x = study hours and y = score. What score does the model predict for a student who studies 8 hours?

Accepted Answer

29

Answer

y = 3(8) + 5 = 24 + 5 = 29.

Question 5

A bar chart compares the populations of four cities. City W = 2.1M, City X = 3.4M, City Y = 1.8M, City Z = 2.9M. Approximately what fraction of the total population lives in City X?

Accepted Answer

One-third

Answer

Total = 10.2M; City X = 3.4M; 3.4/10.2 ≈ 0.333, which is approximately one-third.

STAT - Special Tertiary Admissions Test Practice Test

STAT - Special Tertiary Admissions Test Practice Test

STAT Data Interpretation from Graphs 5