Which of the following is the median of the date set below?
-6, 8, -4, 12, 1
8
1
-4
12
Correct Answer : B
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
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Related Questions
Correct Answer is B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
Correct Answer is C
Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows. Â
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
Correct Answer is D
Explanation
in this case, we express James’ uncle’s age in terms of James’ age. From the equation:
James’ age is n
James’s uncle’s age is m=3n-13
Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.
Correct Answer is A
Explanation
We are tasked to find the unknown values of x in the given equation.
First, we add 8 to both sides of the equation.
Next, we apply the absolute rule:
If   , a>0, then u=a or u=-a
From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes
Solving for x
The second condition (u= -a) becomes
Solving for x
Thus, the value of x is 4 or -3
Correct Answer is D
Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
Correct Answer is D
Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
Correct Answer is A
Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:
Thus, 0.65 L is 650 mL.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank
A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Correct Answer is D
Explanation
We are asked to make z the subject of the formula.
First, we subtract y/x from both sides of the equation
Thus, the formula for finding the value of z is  .
Correct Answer is A
Explanation
we are tasked to find the number of cups of flour that will be used to make 90 cookies.
This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:
Solve the value of x by cross-products
Next, we convert the mixed fraction into improper fraction in order to carry out multiplication
The baker needs 15.75 cups of flour to make 120 cookies. 15.75 in mixed fraction is Â
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