anonymous
  • anonymous
Help for a medal and fan?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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:
1 Attachment
anonymous
  • anonymous
Which of the following did Jack show incorrectly on his box plot? Median Minimum First quartile Third quartile
jim_thompson5910
  • jim_thompson5910
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?

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anonymous
  • anonymous
The middle most number would be 12.8
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
focus on the first half (ie first 5 values) 12, 12.2, 12.3, 12.6, 12.8 what is the median here?
anonymous
  • anonymous
12.3
jim_thompson5910
  • jim_thompson5910
good this is where Jack messes up because he placed the left edge of the box over 12.5 when it should be over 12.3
1 Attachment
jim_thompson5910
  • jim_thompson5910
focus on the second half of the data 12.8, 13.5, 13.9, 14, 14.2 what is the median here?
anonymous
  • anonymous
The median would be 13.9
jim_thompson5910
  • jim_thompson5910
so that is Q3 Jack marked that value correctly since the right edge of the box is over 13.9
jim_thompson5910
  • jim_thompson5910
and finally, the min is indeed 12 since that is the smallest number so Jack plotted the min correctly as well
anonymous
  • anonymous
So the answer would be first quartile then?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Alright, thank you so much for your help!
jim_thompson5910
  • jim_thompson5910
you're welcome

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