Frequently Tested Questions With Elaborated 100% Correct Complete Solutions
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What is 3/4 divided by 2/3? 9/8
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 10.02 miles
hiking paths in the park?
If there are 2 tablespoons in 1 fluid ounce, how many
tablespoons does the following calculation yield?
6.5 tbsp
4 fl oz - 1.5 tbsp
Solve for X:
23/12
X - 5/4 = 2/3
Solve for X:
-1
X+5/3=2/3
Given the inequality:
2y + 6 > 20
Which graph is the solution?
A) {{ y < 3 }}
B) {{ y > 6 }} {{ y > 7 }}
C) {{ y > 7 }}
*** Anytime you multiply or divide both sides of the in-
D) {{ y < 7 }}
equality by a negative number, you must "flip" or change
the direction of the inequality sign
Which graph is the solution for y < 8? {{ unfilled circle on 8, arrow pointing left }}
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Frequently Tested Questions With Elaborated 100% Correct Complete Solutions
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Which graph is the solution for 4y - 6 > 18?
A) {{ y > 4 }}
B) {{ y > 6 }} {{ y > 6 }}
C) {{ y < 4 }}
D) {{ y < 6 }}
(0,5) to (2,11)
What is the correct line graph for y = 3x + 5?
** 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 = -2x + 9? (0,9) to (4.5,0)
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?
34.0
A) 34.0
B) 68.0
C) 95.0
D) 99.7
A given data set is normally distributed with a mean of 200
and a standard deviation of 5.
190-210
Which two values does 95% of the data fall between?
A) 180-220
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B) 185-225
C) 190-210
D) 195-235
Median the value in the middle of a data set,
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
Median of an even data set diflcult 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.
quartiles values that divide a data set into four equally sized groups
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
find the 1st, 2nd and 3rd quartiles of the data set 2. looking at the bottom half of the data (excluding the
mean) find the half wy point for Q1 which is how many
41,57,61,65,67,70,70,74,82,82,82,90,95,112 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
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
5 Steps to find the interquartile range 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.
find IQR
100,37,12,20,53,10,20,50,35,30,32,35,72,25
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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
Q1 Q2 Q3
find IQR 41,57,61,65,67,70,70,74,82,82,82,90,95,112
41,57,61,65,65,67,70,70,74,82,82,82,90,95,112
82-65=17
what is the range of values of the upper quartile of this Q1 Q2 Q3 9,15,20,20,40,53,55,56,61,75,82,94
data set?
1. put the data set in numerical order
75,9,20,53,56,94,15,82,40,55,20,61 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
any number Smaller than Q1 - ((1.5 * (IQR)) is an outlier
how do you use the IQR to find outliers?
any number larger than Q3 + ((1.5 * (IQR)) is an outlier
identify any outliers in this data set
41,57,61,65,67,70,70,74,82,82,82,90,95,112