The data shows the number of customers Joe's diner serve during lunchtime hours for the past 12 days22,25,50,58,28,24,25,51,43,32,49,38
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The dataset consists on the points:
{22,25,50,58,28,24,25,51,43,32,49,38}
Sorting the numbers from lowest to highest:
{22,24,25,25,28,32,38,43,49,50,51,58}
There are 12 numbers, thus the median is the mean of the data 6 and 7:
M = (32+38)/2 = 35
The first point is 22, the last point is 58
The only box plot that follows all the conditions is A, where the median is at 35
Answer: A