Question

Help for a medal and fan?

Answer 1

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:

Answer 2

Which of the following did Jack show incorrectly on his box plot?

Median
Minimum
First quartile
Third quartile

Answer 3

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?

Answer 4

The middle most number would be 12.8

Answer 5

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

Answer 6

focus on the first half (ie first 5 values)

12, 12.2, 12.3, 12.6, 12.8

what is the median here?

Answer 7

12.3

Answer 8

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

Answer 9

focus on the second half of the data

12.8, 13.5, 13.9, 14, 14.2

what is the median here?

Answer 10

The median would be 13.9

Answer 11

so that is Q3

Jack marked that value correctly since the right edge of the box is over 13.9

Answer 12

and finally, the min is indeed 12 since that is the smallest number

so Jack plotted the min correctly as well

Answer 13

So the answer would be first quartile then?

Answer 14

yes

Answer 15

Alright, thank you so much for your help!

Answer 16

you're welcome