NEW 2026 WGU C955 PA NEW SET WITH COMPLETE
SOLUTIONS 100% VERIFIED!!
9/8
What is 3/4 divided by 2/3?
10.02 miles
A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles. What
is the total length, in miles, of hiking paths in the park?
6.5 tbsp
If there are 2 tablespoons in 1 fluid ounce, how many tablespoons does the
following calculation yield?
4 fl oz - 1.5 tbsp
23/12
Solve for X:
X - 5/4 = 2/3
-1
Solve for X:
X+5/3=2/3
{{ y > 7 }}
*** Anytime you multiply or divide both sides of the inequality by a negative
number, you must “flip” or change the direction of the inequality sign
Given the inequality:
2y + 6 > 20
Which graph is the solution?
A) {{ y < 3 }}
B) {{ y > 6 }}
C) {{ y > 7 }}
D) {{ y < 7 }}
{{ unfilled circle on 8, arrow pointing left }}
Which graph is the solution for y < 8?
{{ y > 6 }}
Which graph is the solution for 4y - 6 > 18?
A) {{ y > 4 }}
B) {{ y > 6 }}
C) {{ y < 4 }}
D) {{ y < 6 }}
(0,5) to (2,11)
** all you do here is pick three numbers and plug into the given slope formula to
find the graph.
What is the correct line graph for y = 3x + 5?
(0,9) to (4.5,0)
What is the correct line graph for y = -2x + 9?
,34.0
A normally distributed data set has a mean of 25 and a standard deviation of 2.
Which percentage of the data falls between 23 and 25?
A) 34.0
B) 68.0
C) 95.0
D) 99.7
190-210
A given data set is normally distributed with a mean of 200 and a standard
deviation of 5.
Which two values does 95% of the data fall between?
A) 180-220
B) 185-225
C) 190-210
D) 195-235
the value in the middle of a data set,
Median
When there is an even number of values in a set of data, there is no single middle
value. That makes it a little more difficult to find the median. In this case, you take
the middle two values and add them together. Then you divide the sum of the
values by 2.
Median of an even data set
values that divide a data set into four equally sized groups
quartiles
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
1. find the median of the data set and that will be your Q2
2. looking at the bottom half of the data (excluding the mean) find the half wy
point for Q1 which is how many numbers there are divided by two rounded up or
down. so 7/2=3.5 rounded to 4. so for Q1 the half way point is 65
3. repeat for the upper data set
find the 1st, 2nd and 3rd quartiles of the data set
41,57,61,65,67,70,70,74,82,82,82,90,95,112
1. Put the data set in order from least to greatest.
2. Find the median, or midpoint, of the data set. This can also be called the
second quartile (Q2).
3. Identify the median of the lower half of the data set and label it as Q1 (the first
quartile).
4. Identify the median of the upper half of the data set and label it as Q3 (the third
quartile)
5. Subtract Q1 from Q3 to determine the interquartile range, or IQR.
, 5 Steps to find the interquartile range
Q1 Q2=33.5 Q3
10,12,20,20,25,30,32,35,35,37,50,53,72,100
1. put data set in order
2. find the quartiles, even number of data sets to find the mean you add the two
data sets together than divide by two which gives you 33.5
3. Splitting the data down the middle between 32 and 35 gives you your Q2
4. from 10 to 32 gives you your lower data set with 7 total data sets divided by two
gives you a rounded number of 4 which means that the fourth data set is the
median of the lower data set which is 20. 20 is your Q1
5. repeat for Q3
6. IQR = 50-20=30
find IQR
100,37,12,20,53,10,20,50,35,30,32,35,72,25
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
82-65=17
find IQR
41,57,61,65,67,70,70,74,82,82,82,90,95,112
Q1 Q2 Q3
9,15,20,20,40,53,55,56,61,75,82,94
1. put the data set in numerical order
2. find the quartiles
the upper quartiles of data is going to be after Q3 which the range of that data is
75 to 94
what is the range of values of the upper quartile of this data set?
75,9,20,53,56,94,15,82,40,55,20,61
any number Smaller than Q1 - ((1.5 * (IQR)) is an outlier
any number larger than Q3 + ((1.5 * (IQR)) is an outlier
how do you use the IQR to find outliers?
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
1. find the quartiles
2. find the IQR. IQR = 50-20=17
3. Find the outliers :
Q1 - 1.5(IQR) = 65 - 1.5(17) = 39.5
Q3-1.5(IQR) = 82 -1.5(17) = 107.5
112 is the outlier
identify any outliers in this data set
41,57,61,65,67,70,70,74,82,82,82,90,95,112
Range = Max - Min
range of a data set
21
SOLUTIONS 100% VERIFIED!!
9/8
What is 3/4 divided by 2/3?
10.02 miles
A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles. What
is the total length, in miles, of hiking paths in the park?
6.5 tbsp
If there are 2 tablespoons in 1 fluid ounce, how many tablespoons does the
following calculation yield?
4 fl oz - 1.5 tbsp
23/12
Solve for X:
X - 5/4 = 2/3
-1
Solve for X:
X+5/3=2/3
{{ y > 7 }}
*** Anytime you multiply or divide both sides of the inequality by a negative
number, you must “flip” or change the direction of the inequality sign
Given the inequality:
2y + 6 > 20
Which graph is the solution?
A) {{ y < 3 }}
B) {{ y > 6 }}
C) {{ y > 7 }}
D) {{ y < 7 }}
{{ unfilled circle on 8, arrow pointing left }}
Which graph is the solution for y < 8?
{{ y > 6 }}
Which graph is the solution for 4y - 6 > 18?
A) {{ y > 4 }}
B) {{ y > 6 }}
C) {{ y < 4 }}
D) {{ y < 6 }}
(0,5) to (2,11)
** all you do here is pick three numbers and plug into the given slope formula to
find the graph.
What is the correct line graph for y = 3x + 5?
(0,9) to (4.5,0)
What is the correct line graph for y = -2x + 9?
,34.0
A normally distributed data set has a mean of 25 and a standard deviation of 2.
Which percentage of the data falls between 23 and 25?
A) 34.0
B) 68.0
C) 95.0
D) 99.7
190-210
A given data set is normally distributed with a mean of 200 and a standard
deviation of 5.
Which two values does 95% of the data fall between?
A) 180-220
B) 185-225
C) 190-210
D) 195-235
the value in the middle of a data set,
Median
When there is an even number of values in a set of data, there is no single middle
value. That makes it a little more difficult to find the median. In this case, you take
the middle two values and add them together. Then you divide the sum of the
values by 2.
Median of an even data set
values that divide a data set into four equally sized groups
quartiles
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
1. find the median of the data set and that will be your Q2
2. looking at the bottom half of the data (excluding the mean) find the half wy
point for Q1 which is how many numbers there are divided by two rounded up or
down. so 7/2=3.5 rounded to 4. so for Q1 the half way point is 65
3. repeat for the upper data set
find the 1st, 2nd and 3rd quartiles of the data set
41,57,61,65,67,70,70,74,82,82,82,90,95,112
1. Put the data set in order from least to greatest.
2. Find the median, or midpoint, of the data set. This can also be called the
second quartile (Q2).
3. Identify the median of the lower half of the data set and label it as Q1 (the first
quartile).
4. Identify the median of the upper half of the data set and label it as Q3 (the third
quartile)
5. Subtract Q1 from Q3 to determine the interquartile range, or IQR.
, 5 Steps to find the interquartile range
Q1 Q2=33.5 Q3
10,12,20,20,25,30,32,35,35,37,50,53,72,100
1. put data set in order
2. find the quartiles, even number of data sets to find the mean you add the two
data sets together than divide by two which gives you 33.5
3. Splitting the data down the middle between 32 and 35 gives you your Q2
4. from 10 to 32 gives you your lower data set with 7 total data sets divided by two
gives you a rounded number of 4 which means that the fourth data set is the
median of the lower data set which is 20. 20 is your Q1
5. repeat for Q3
6. IQR = 50-20=30
find IQR
100,37,12,20,53,10,20,50,35,30,32,35,72,25
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
82-65=17
find IQR
41,57,61,65,67,70,70,74,82,82,82,90,95,112
Q1 Q2 Q3
9,15,20,20,40,53,55,56,61,75,82,94
1. put the data set in numerical order
2. find the quartiles
the upper quartiles of data is going to be after Q3 which the range of that data is
75 to 94
what is the range of values of the upper quartile of this data set?
75,9,20,53,56,94,15,82,40,55,20,61
any number Smaller than Q1 - ((1.5 * (IQR)) is an outlier
any number larger than Q3 + ((1.5 * (IQR)) is an outlier
how do you use the IQR to find outliers?
Q1 Q2 Q3
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
1. find the quartiles
2. find the IQR. IQR = 50-20=17
3. Find the outliers :
Q1 - 1.5(IQR) = 65 - 1.5(17) = 39.5
Q3-1.5(IQR) = 82 -1.5(17) = 107.5
112 is the outlier
identify any outliers in this data set
41,57,61,65,67,70,70,74,82,82,82,90,95,112
Range = Max - Min
range of a data set
21
