Question

The table shows data from a survey about the number of times families travel by car or taxi during an average week. The families are either from a rural town (population under 5,000) or a large city (population over 1 million):

Rural Town City
0 0
0 0
1 2
3 2
7 4
7 8
7 10
14 12
14 16
20 20
45 20

Which of the choices below best describes how to measure the center of this data?

Answer 1

Both centers are best described with the mean.

Both centers are best described with the median.

The country data center is best described by the mean. The city data center is best described by the median.

The country data center is best described by the median. The city data center is best described by the mean.

Answer 2

@ganeshie8

Answer 3

@jim_thompson5910

Answer 4

what is the mean and median of each column?

Answer 5

Rural Town: Mean: 10.72.... Median: 7 City: Mean: 8.54... Median: 8

Answer 6

@jim_thompson5910

Answer 7

do you notice any outliers at all?

Answer 8

I have trouble findig out outliers

Answer 9

do you see any numbers that are much bigger or smaller than the rest?

Answer 10

focus on one column at a time

Answer 11

Rural Town there is one number that is bigger than the rest (45) in City there isnt anything

Answer 12

agreed, 20 is slightly large too, but that's somewhat debatable

Answer 13

notice how the median of the rural is 7

the mean of the rural is 10.72

Answer 14

so that outlier (45) pulls the mean higher than what it should be

ie it skews the mean

Answer 15

so the median is a better indicator of the center for the rural column

Answer 16

for the city, either mean or median work because they're both roughly 8

Answer 17

yeah ok i see

Answer 18

so which one should i choose?

Answer 19

well the rural is definitely median

Answer 20

so "Both centers are best described with the mean." is false

Answer 21

i think it is the last one

Answer 22

me too

Answer 23

ok thanks i might need some more help but right now i think im ok thanks :D

Answer 24

you're welcome