Answer:
The correct box plot is B (Bottom left)
Explanation:
I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:
To find the median, we will first arrange the distribution in ascending (or descending) order
Median = 52, 54, 56, 58, 60, 62, 64
Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.
From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:
Lower half: 52, 54, 56, 58
Median of lower half = (54 + 56) ÷ 2 = 55
upper half = 58, 60, 62, 64
Median of upper half = (60 + 62) ÷ 2 = 61
From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)
Note the medians are the lines that form the boundaries and at the middle of the box.