Which of the following is the best description for the data set below? 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
A. Uniform
B. Right-skewed
C. Bimodal
D. Left-skewed
To solve this problem, we need to find the mean, mode, and median of the above data set.
From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.
The mean of data is the total divided by the number of elements
Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80
Number of elements=16
Mean=80/16=5
Median will fall in between the (N/2)th and (N/2+1)th position
(N/2)th =16/2 =8th position and (16/2+1)th =9th position
Since the data is arranged in ascending order as below
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
Element in 8th position = 3
Element in 9th position =7
So the median average of the two elements=(3+7)/2=5
Now the data could be presented as follows in the distribution curve
This is because the data set has two modes, meaning the data is bimodal.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Which of the following percentages is equivalent to 5 ¼ ?
A. 525%
B. 514%
C. 5.25%
D. 5.14%
Answer Explanation
The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.
Convert 5 ¼ into improper faction as follows
So, the percent equivalent is:
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Q #2: Which of the following expressions represents the sum of three times a number and eight times a different number?
A. 3x+8y
B. 8x+3x
C. 3x-8y
D. 8x-3y
Answer Explanation
Let two numbers be x and y. Then
Three time a number=3x
Eight times a different number = 8y
Sum of the two is 3x+8y
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Q #3: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/5
B. 1/3
C. ¼
D. 1/6
Answer Explanation
We assume the pizza to be full representing 1. One friend eats ½ of 1=1/2
The remaining portion of the pizza=1-1/2=2/2-1/2=1/2
Three friends share equally ½ of the pizza=1/2÷3=12*13=1/6
