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: In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?
A. Independent
B. Control
C. Dependent
D. Constant
Answer Explanation
In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.
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Q #3: Which of the following values is the greatest?
A. 4.25
B. 10/3
C. 4.4
D. 9/2
Answer Explanation
To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.
10/3=3.3333…..
9/2=4.5
Thus, the numbers become 4.25, 3.333…, 4.4, 4.5
Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5
From the above, 4.5 is the greatest value.
