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The heights, in cm, of some plants in a greenhouse are shown below: 13.5, 12.2, 12.8, 12.8, 12.3, 12, 13.9, 14, 14.2, 12.6 Jack made the following box plot to represent the heights:
Which of the following did Jack show incorrectly on his box plot? Median Minimum First quartile Third quartile
First sort the numbers from smallest to biggest 12, 12.2, 12.3, 12.6, 12.8, 12.8, 13.5, 13.9, 14, 14.2 which is the middle-most number?
The middle most number would be 12.8
correct, that's the median notice how there is a line over the 12.8 and this line corresponds to the median since it's in the inside of the box that means Jack has the right median and plotted it correctly
focus on the first half (ie first 5 values) 12, 12.2, 12.3, 12.6, 12.8 what is the median here?
focus on the second half of the data 12.8, 13.5, 13.9, 14, 14.2 what is the median here?
The median would be 13.9
so that is Q3 Jack marked that value correctly since the right edge of the box is over 13.9
and finally, the min is indeed 12 since that is the smallest number so Jack plotted the min correctly as well
So the answer would be first quartile then?
Alright, thank you so much for your help!