Using the set of data below, which statements are true? Check all that apply.

13, 11, 16, 12, 42, 8
The mean of this data set is 17.
The median is 12.5.
The median is 14.5.
The mean is more affected by the outlier.
The median is more affected by the outlier.
The mean of this data set is 12.

Rearrange it from lowest to biggest.

8, 11, 12, 13, 16, 42

Mean (average):

(8 + 11 + 12 + 13 + 16 + 42) ÷ 6

(102) ÷ 6 = 17

Median:

Refer to the rearranged data and find the middle one.

There are two values that are in the middle, 12 and 13.

So,

(12 + 13) ÷ 2

25 ÷ 2

= 12.5

So the true statements are:

The mean of this data set is 17

The median is 12.5

The mean is more affected by the outlier

the answers are

Step-by-step explanation:

Hope this helps some of you!

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584