A patient's temperature was recorded in degrees Fahrenheit every hour for 8 hr. The temperatures in Fahrenheit were 99.0°, 99.2°, 98.7°, 99.3°, 99.7°, 98.6°, 100.0° and 99.0°. Which of the following is the median temperature?
A. 99.5°F
B. 99.1°F
C. 99.2°F
D. 99°F
The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:
98.6, 98.7, 99.0, 99.0, 99.2, 99.3, 99.7, 100.0
(for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})
From the data set above, there are 8 temperature values. The median is the temperature value in the middle position, which falls between the (frac{n}{2} th) and ((frac{n}{2} + 1) th) position. Here N=8 and median is found as:
(frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)
The element in the 4.5th position is the average of the 4th and 5th element.
(frac{99.0 + 99.2}{2} = 99.1)
Thus 99.1 is the median temperature.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope?
A. 25 N towards the west
B. 190 N towards the west
C. 165 N towards the east
D. 35 N towards the east
Answer Explanation
To find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.
So, the force on the dog is -190 N and that of the girl is 165 N.
The net force is the sum of the two forces
The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.
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Q #2: An employee discovers that 0.0025 of all products produced at a factory contain defects. Which of the following percentage does this represent?
A. 0.25%
B. 25%
C. 2.5%
D. 0.025%
Answer Explanation
all products represent 100%. Then, the portion of defect products is:
0.0025 of 100%
‘of’ means multiply
0.0025 *100%=0.25%
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Q #3: Which of the following is the mean of the set data below? 30, 29, 28, 30, 24, 12, 26, 33, 25, 23
A. 30
B. 21
C. 27
D. 26
Answer Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
