MATH 120 INTRODUCTION TO STATISTICS
LIME SPRING WEEK 5 QUIZ 2026
CERTIFICATION TEST SCRIPT 2026 FULL
QUESTIONS AND SOLUTIONS GRADED A+
⩥ continue with chapter 3a. Describe the three basic uses of percentages.
Give a sample statement that uses percentages in each of the three ways.
What is one way to use percentages? Answer: Percentages can be used
to express a fraction of something. For example, out of 15,000
employees, 3% lost their jobs.
⩥ What is a second way to use percentages? Answer: Percentages can be
used to describe a change in something. For example, the cost of milk
rose 5% within the past month.
⩥ What is the third way to use percentages? Answer: Percentages can be
used to compare two things. For example, the car costs 25% more but
gets 10% more miles per gallon.
⩥ Distinguish between absolute and relative change. Give an example
that illustrates how a relative change is calculated Answer:
⩥ Distinguish between absolute and relative change. Give an example
that illustrates how a relative change is calculated
,Distinguish between absolute and relative change. Choose the correct
answer below. Answer: Absolute change describes the actual increase or
decrease from a reference value to a new value. Relative change is the
size of the absolute change in comparison to the reference value and can
be expressed as a percentage.
⩥ Give an example that illustrates how a relative change is calculated.
Choose the correct answer below. Answer: If the new value is 50 and the
reference value is 20, then relative
change
50-20/20x100%=150%
⩥ Explain the difference between the key words 'of' and 'more than'
when dealing with percentages. How are their meanings related?
Answer: The key word 'more than' is used to express the relative change
between the referenced value and the compared value. The key word 'of'
is used to express the ratio of the compared value to the referenced
value.
⩥ How are their meanings related? Answer: If the compared value is P%
more than the reference value, it is
(100+P)%
of the reference value.
,⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
The price of tuition has tripled since my parents went to school—that's a
200% increase in price. Answer: he statement makes sense. A
200%
increase in price corresponds to a price that is
300%
of the original price.
⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
If John earns 20% more than Mary does, then Mary must earn 20% less
than John does. Answer: The statement does not make sense because if
John earns 20% more than Mary, then Mary must earn approximately
16.7% less than John does.
⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
We found that these rare cancers were 700% more common in children
living near the toxic landfill than in the general population. Answer: The
statement makes sense because the number of rare cancers found in
children living near the toxic landfill is 8 times the number of rare
cancers found in the general population, which is possible.
, ⩥ Express the given percentage as a reduced reduced fraction and as a
decimal.
40%
What is the reduced fraction form of 40%? Answer: 2/5
⩥ What is the
decimall
form of
40%? Answer: .40
⩥ Express the given decimal as a percentage and as a fraction 0.05
Answer: 5%
1/20
⩥ Express the given percentage as a reduced fraction and a decimal.
475% Answer: 19/4
4.75
⩥ Compare A and B in three ways, where A=51093 is the number of
deaths due to a deadly disease in the United States in 2005 and
B=17946
LIME SPRING WEEK 5 QUIZ 2026
CERTIFICATION TEST SCRIPT 2026 FULL
QUESTIONS AND SOLUTIONS GRADED A+
⩥ continue with chapter 3a. Describe the three basic uses of percentages.
Give a sample statement that uses percentages in each of the three ways.
What is one way to use percentages? Answer: Percentages can be used
to express a fraction of something. For example, out of 15,000
employees, 3% lost their jobs.
⩥ What is a second way to use percentages? Answer: Percentages can be
used to describe a change in something. For example, the cost of milk
rose 5% within the past month.
⩥ What is the third way to use percentages? Answer: Percentages can be
used to compare two things. For example, the car costs 25% more but
gets 10% more miles per gallon.
⩥ Distinguish between absolute and relative change. Give an example
that illustrates how a relative change is calculated Answer:
⩥ Distinguish between absolute and relative change. Give an example
that illustrates how a relative change is calculated
,Distinguish between absolute and relative change. Choose the correct
answer below. Answer: Absolute change describes the actual increase or
decrease from a reference value to a new value. Relative change is the
size of the absolute change in comparison to the reference value and can
be expressed as a percentage.
⩥ Give an example that illustrates how a relative change is calculated.
Choose the correct answer below. Answer: If the new value is 50 and the
reference value is 20, then relative
change
50-20/20x100%=150%
⩥ Explain the difference between the key words 'of' and 'more than'
when dealing with percentages. How are their meanings related?
Answer: The key word 'more than' is used to express the relative change
between the referenced value and the compared value. The key word 'of'
is used to express the ratio of the compared value to the referenced
value.
⩥ How are their meanings related? Answer: If the compared value is P%
more than the reference value, it is
(100+P)%
of the reference value.
,⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
The price of tuition has tripled since my parents went to school—that's a
200% increase in price. Answer: he statement makes sense. A
200%
increase in price corresponds to a price that is
300%
of the original price.
⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
If John earns 20% more than Mary does, then Mary must earn 20% less
than John does. Answer: The statement does not make sense because if
John earns 20% more than Mary, then Mary must earn approximately
16.7% less than John does.
⩥ Decide whether the following statement makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your
reasoning.
We found that these rare cancers were 700% more common in children
living near the toxic landfill than in the general population. Answer: The
statement makes sense because the number of rare cancers found in
children living near the toxic landfill is 8 times the number of rare
cancers found in the general population, which is possible.
, ⩥ Express the given percentage as a reduced reduced fraction and as a
decimal.
40%
What is the reduced fraction form of 40%? Answer: 2/5
⩥ What is the
decimall
form of
40%? Answer: .40
⩥ Express the given decimal as a percentage and as a fraction 0.05
Answer: 5%
1/20
⩥ Express the given percentage as a reduced fraction and a decimal.
475% Answer: 19/4
4.75
⩥ Compare A and B in three ways, where A=51093 is the number of
deaths due to a deadly disease in the United States in 2005 and
B=17946
