Which measures of central tendency are the most representative of the data set?
23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43
a.) mean, mode and median
b.) mean, mode
c.) range, median
d.) mean, median

a.Mean, mode and median.

Step-by-step explanation:

Central tendency measures are mean, mode and median.

Mean: It is defined as the average value of the given data .

Mean =

Mode :The number which appear most times in the given set of data.

Median:It is defined the middle value of the given data.

Median for even number of terms in data

Median =

Median  for odd number of terms in data set

Median=

Mean=

Mean=41.2

Mode:41 appears 3 times which is most time repeat .

Therefore, Mode=41

23,32,37,40,41,41,41,42,43,48,49,49,50

Total number of terms are odd

Median =

Median= term=41

Median=41

a : Mean, mode and median

The answer is in the attached image.

Step-by-step explanation:

In order to determine the graphing solution, you have to graph both inequalities, separately.

The region that is work for both inequalities is the solution. You can draw both equation and painting both, then the surface that it is painted by two colors is the region solution.

I have attached an image that show graphically the solution.

The blue region solution is for:

y>x

The green region solution is for:

y<-x

Therefore the region with the dark green is the solution for both.