CCTST Numeracy & Quantitative Reasoning 2

Question 1

A pie chart shows that 40% of a budget is spent on personnel. If the total budget is $2.5 million, how much is spent on personnel?

Accepted Answer

$1,000,000

Answer

$250,000

Answer

$1,500,000

Answer

$500,000

Question 2

A study finds the average (mean) salary increased from $50,000 to $55,000. Which conclusion is best supported?

Accepted Answer

The typical worker earned $5,000 more

Answer

Every worker received a $5,000 raise

Answer

The median salary also rose by 10%

Answer

No worker earned less than $55,000

Question 3

If a dataset has a mean of 80 and a standard deviation of 10, what range captures approximately 68% of values (assuming normal distribution)?

Accepted Answer

70 to 90

Answer

60 to 100

Answer

75 to 85

Answer

50 to 110

Question 4

A line graph shows unemployment declining from 10% in January to 8% in June. Which is the most precise description?

Accepted Answer

Unemployment fell by 2 percentage points, a 20% relative decrease

Answer

Unemployment fell by 20%

Answer

Unemployment fell by 2%

Answer

Unemployment fell by 2 percentage points only

Question 5

A survey of 1,000 people finds 60% support a policy. The margin of error is ±3%. Which range best represents the true population support?

Accepted Answer

57% to 63%

Answer

60% to 63%

Answer

57% to 60%

Answer

50% to 70%

Question 6

City A has a population of 100,000 with 500 crimes. City B has 500,000 people and 1,500 crimes. Which city has the higher crime rate?

Accepted Answer

City A

Answer

City B

Answer

They are equal

Answer

Cannot be determined

Question 7

A table shows that Program X costs $400 per student and Program Y costs $300 per student, but Y has a 70% success rate and X has an 85% success rate. Which metric best compares cost-effectiveness?

Accepted Answer

Cost per successful outcome

Answer

Total program cost

Answer

Success rate alone

Answer

Number of students enrolled