Question

I think C is right.. Just need an explanation!

The following data show the scores Gina obtained on 12 IQ tests:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

The box plot below represents the data:

Answer 1

Which of the following is shown incorrectly in the box plot?
Median
Lower quartile
Upper quartile
Maximum value

Answer 2

@amistre64

Answer 3

hello @phi :') .

Answer 4

sort the numbers little to big
which number is exactly in the middle?

Answer 5

give me a sec @phi

Answer 6

83 and 86? @phi

Answer 7

I get
74,74,83,83,83,86,87,90,92,93,93,94

Answer 8

86 and 87 o.o @phi

Answer 9

86 ^

Answer 10

there are 12 numbers,
#6 is 86
#7 is 87

for the median, average those 2 numbers. you get 86.5
your figure shows a median at 86.5 so that is correct

Answer 11

so c is correct? :) @phi

Answer 12

I haven't done the problem. But next, check, is the lowest number on the plot the same as the lowest number on the list?

Answer 13

then check if the highest number 94 is what is shown on the plot

Answer 14

I just got confused :/ @phi

Answer 15

74,74,83,83,83,86,87,90,92,93,93,94
^
|
is 74 shown on your graph as the smallest number ?

Answer 16

yes thats where it starts

Answer 17

so that part is correct
now check the biggest number
74,74,83,83,83,86,87,90,92,93,93,94
does the graph show ^

Answer 18

the line spreads out to 98 so C would be correct @phi

Answer 19

The plot you posted shows the biggest number is 94. (where did you get 98?)

Answer 20

sorry I got confused yes 94 is the biggest number. @phi

Answer 21

so the plot shows the correct biggest number

now divide the lower six numbers in half
74,74,83, 83,83,86, 87,90,92,93,93,94
^
|
the "box" starts at 83 (if it is correct)

Answer 22

divide the upper 6 numbers into two parts
4,74,83, 83,83,86, 87,90,92, 93,93,94
^
the box ends at 92

Answer 23

i would add those 6 numbers up then divide by 6? @phi

Answer 24

no, we just look at the smallest and biggest number of the "middle 6 numbers"
4,74,83, 83,83,86, 87,90,92, 93,93,94
start end
those are for the start and end of the "box"
does the box start at 83
does it end at 92 in your plot ?

Answer 25

no ^

Answer 26

well the box starts at 83

Answer 27

right. the box starts at 83
but it does not end at 92. that means its upper quartile is wrong

Answer 28

thanks a ton :) @phi gave u a medal btw :D

Answer 29

they call the start of the box the "lower quartile"
and the end of the box the "upper quartile"

Answer 30

makes more sense thanks ! @phi