Which of the following is the median of the date set below? -6, 8, -4, 12, 1

A. 8

B. 1

C. -4

D. 12

Answer 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.

Therefore, the Correct Answer is B.

Q #1: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?

A. ½

B. 5/14

C. 3/7

D. 3/14

Answer Explanation

To find the probability of an event, we use the following the formula

To find the probability of drawing the red ball, we need to find the total number of balls in the bag.

Total number of balls in the bag=6+3+5=14 balls

The probability of drawing a red ball from the bag is 3/14.
Q #2: How many milliliters are there in 0.65 liters?

A. 650

B. 6.5

C. 6500

D. 65

Answer 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.
Q #3: A person weighed themselves at 176 lb. Four months later they weighed themselves at 186 lb. Which of the following is the percent of weight the person gained over 4 months? (Round to the nearest percent.)

A. 6%

B. 10%

C. 11%

D. 9%

Answer Explanation

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.
Q #4: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the dental hygiene program?

A. 168

B. 144

C. 336

D. 152

Answer Explanation

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.
Q #5: Which of the following is the total number of whole boxes that measure 2.5 ft * 2.5 ft * 2.5 ft that can be stored in a room that measures 12 ft * 12 ft * 12 ft, if the size of the boxes cannot be altered?

A. 111

B. 105

C. 150

D. 120

Answer Explanation

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.
Q #6: Which of the following is the best estimate of the number of centimeters (cm) in 4 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 370 cm

B. 290 cm

C. 365 cm

D. 350 cm

Answer Explanation

we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
Q #7: Which of the following is the value of x in the equation below

A. x= -3 or x=4

B. x= -1 or x=2

C. x =-2 or x= 4

D. x= -3 or x= 5

Answer 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
Q #8: Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)

A. 82.2 lb

B. 22.6 lb

C. 121 lb

D. 242 lb

Answer Explanation

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.
Q #9: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?

A. Cost of a phone

B. Brand name

C. Size of the RAM

D. Size of the battery

Answer Explanation

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Q #10: A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?

A. 4.5 π in

B. 14 π in

C. 18 π in

D. 9 π in

Answer Explanation

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,

in.