STAT Quantitative Reasoning in Context 4

Question 1

A bar chart shows monthly electricity usage: Jan 320 kWh, Feb 290 kWh, Mar 250 kWh, Apr 210 kWh. What is the average monthly usage over these four months?

Accepted Answer

267.5 kWh

Answer

(320 + 290 + 250 + 210) ÷ 4 = 1,070 ÷ 4 = 267.5 kWh.

Question 2

Two pipes fill a tank. Pipe A fills it in 6 hours, Pipe B in 4 hours. Working together, how long will they take to fill the tank?

Accepted Answer

2.4 hours

Answer

Combined rate = 1/6 + 1/4 = 5/12 tanks/hour; time = 12/5 = 2.4 hours.

Question 3

A jacket originally costs $180. It is discounted by 15%, and sales tax of 8% is then applied to the discounted price. What is the final cost?

Accepted Answer

$165.24

Answer

Discounted price = 180 × 0.85 = $153; after 8% tax = 153 × 1.08 = $165.24.

Question 4

A line graph shows a city's temperature rising from 5°C in January to 35°C in July, then returning to 5°C in December. Which statement is most accurate?

Accepted Answer

The temperature change is approximately symmetric around July

Answer

The description of rising from January to July and falling back to 5°C by December describes a roughly symmetric pattern.

Question 5

A data set has a mean of 50 and a standard deviation of 5. A score of 60 is how many standard deviations above the mean?

Accepted Answer

2

Answer

(60 − 50) ÷ 5 = 10 ÷ 5 = 2 standard deviations.

STAT - Special Tertiary Admissions Test Practice Test

STAT - Special Tertiary Admissions Test Practice Test

STAT Quantitative Reasoning in Context 4