Question

1.What happens to the mean, median and mode for the data shown if the outlier is eliminated?

Thirty-eight, thirty-three, thirty-eight, thirty-two, thirty-three, six, and thirty

Answer 1

First you need to find the mean, median and mode for the current data. Can you do that?

Answer 2

Ok give me a sec....

Answer 3

I'm assuming they want you to actually find the values, not just say "the mean increases"...

Answer 4

The mean is 30. The median is 32. The mode is 33 and 38.

Answer 5

Are you sure about that median?

Answer 6

got it wrong

Answer 7

what is it?

Answer 8

put the data in order
6,30,32,33,33,38,38
we have an odd number, so the median is the middle element. if we had an even number, it would be the mean of the middle two elements.
median = 33

Answer 9

38

Answer 10

how do you figure that?

Answer 11

look, you've got 7 data points. put them in order, then count in 7/2+1 = 4 places. the 4th number is the median.

Answer 12

is it 33?

Answer 13

yes!

Answer 14

okay, now what happens when we get rid of the outlier? which one is the outlier?

Answer 15

6,30,32,33,33,38,38
middle number is 33

Answer 16

outlier: a data value that is unusually larger or smaller than the other data values of a set

Answer 17

38 is the outlier

Answer 18

When we get rid of the outlier the mean becomes 26.8. the median stays the same.
And the mode is 33.

Answer 19

now does the mode change?

Answer 20

wait, you think 38 is more of an outlier than 6?!?