Question

Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Answer 1

Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9


She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
Yes, because there is a lot of variability in the art book data
No, because there is a lot of variability in the art book data

Answer 2

@heretohelpalways

Answer 3

@phi

Answer 4

Yes, because the mean is larger in the art book. Mean is the average in other words so greater average would infer greater quantity in whole

Answer 5

no

Answer 6

there is a lot of variability

Answer 7

Variability doesn't really matter because mean is the average. No matter how much the number varies if she knows the mean then mean is more accurate than variable.

Answer 8

yes it does

Answer 9

because the mean it affected by outliers

Answer 10

average is affected easily

Answer 11

example: the average of 5,5,5,100

Answer 12

40

Answer 13

here is one outlier,100 it affects the whole average

Answer 14

It does, but still within the sample.

Answer 15

ok so its either B or D right?

Answer 16

the answer would be D

Answer 17

ok thank you! :)

Answer 18

for sure

Answer 19

I am on your boat too

Answer 20

Nice explanation:)

Answer 21

thank you @Robert136

Answer 22

No you were right in considering the median absolute deviation:)