The correct box and whisker plot for the given data-set is given by option B, considering the median concept.
What is the median of a data-set?
It is the 50th percentile of the data-set, the value that separates the bottom 50% from the upper 50%.
A box and whisker plot shows three things:
- The 25th percentile, which is the median of the bottom 50%.
- The 75th percentile, which is the median of the upper 50%.
In this problem, there are 14 values, hence the median is the mean of the 7th and the 8th values, given by:
Me = (150 + 150)/2 = 150.
The 25th percentile is the median of the first six values, given by the mean of the 3rd and 4th elements, hence:
P25 = (142 + 138)/2 = 140.
The 75th percentile is the median of the final six values, given by the mean of the 11th and 12th elements, hence:
P75 = (191 + 175)/2 = 183.
Hence option B is correct.
More can be learned about the median of a data-set at https://brainly.com/question/23923146
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