STAT Quantitative Reasoning in Context 3

Question 1

A table shows that a town's population grew from 45,000 in 2010 to 54,000 in 2020. What was the percentage increase?

Accepted Answer

20%

Answer

(54,000 − 45,000) ÷ 45,000 × 100 = 9,000 ÷ 45,000 × 100 = 20%.

Question 2

A box contains 5 red, 3 blue, and 2 green marbles. If one marble is chosen at random, what is the probability it is NOT red?

Accepted Answer

1/2

Answer

Non-red marbles = 3 + 2 = 5 out of 10 total, giving a probability of 5/10 = 1/2.

Question 3

A worker is paid $18 per hour and works 38 hours in one week. She also receives a $50 bonus. What are her total gross earnings?

Accepted Answer

$734

Answer

18 × 38 = $684, plus the $50 bonus = $734.

Question 4

The median of the data set {12, 15, 9, 22, 18, 7, 14} is:

Accepted Answer

14

Answer

Ordered: 7, 9, 12, 14, 15, 18, 22 — the middle (4th) value is 14.

Question 5

A water tank holds 2,400 liters when full. It is currently 35% full. How many more liters are needed to fill it to 80% capacity?

Accepted Answer

1,080 liters

Answer

80% of 2,400 = 1,920; 35% of 2,400 = 840; difference = 1,920 − 840 = 1,080 liters.

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