Question

Could somebody help me with a Stem & Leaf plot problem? I just suck at these.

Answer 1

I think it's either B or D.

Answer 2

Are you able to find the median of this data set?

{0, 0, 5, 8
12, 13, 15, 18, 18, 19
22, 24, 26, 27, 27, 27
33, 35, 36
42, 44, 46
57}

Answer 3

Are you suppose to ignore the zeros or not?

Answer 4

@jim_thompson5910

Answer 5

no do not ignore the 0s

Answer 6

they are part of the data set

Answer 7

Then the median is 26.

Answer 8

close but no

Answer 9

Oh, 24. My bad. :)

Answer 10

yep

Answer 11

what is the mode?

Answer 12

27

Answer 13

so "the median is greater than the mode" is false

Answer 14

what is the range of this data set?

Answer 15

57

Answer 16

so B is wrong.

Answer 17

yep 57 is the correct range, not 52

Answer 18

if you break up the data set into two halves, you'll find that the lower or left half is

0, 0, 5, 8, 12, 13, 15, 18, 18, 19, 22

what is the median of this data set shown above?

Answer 19

13

Answer 20

good

Answer 21

the median of the lower/left half of the data is exactly equal to the value of Q1

Q1 = first quartile

Answer 22

so C is right. How about D?

Answer 23

That's one of the things I'm having trouble with. I can't figure out which graphs are symmetrical and which aren't.

Answer 24

where is the median? what value is it?

Answer 25

The median is in the middle and it's 24.

Answer 26

well if this data set was perfectly symmetrical, then you would have a mirror like quality of the data values. The mirror itself would be at the median, aka the middle

Answer 27

but notice how we have one lone outlier at 57
in contrast, we have a bunch of values clumped around the single digits (0, 0, 5, 8) and then a bunch more in the teens (12, 13, etc etc). So there are a lot more data values on the left side end, compared to the right end