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.
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