Question

Which of the following statements are true? check all that apply

Answer 1

The answer to this is A, C, and D. 

Answer 2

Answer with explanation:

Mean of this data set

`=\frac{\text{sum of all the observation}}{\text{Total number of observation}}\\\\=(30+37+37+41+22+69+45+64+51+22+63+31+64+65+25+51+26+48+28+49)/(20)\\\\=43.4`

Arranging the data set in ascending order

22, 22,25, 26, 28,30,31,37,37,41,45,48,49,51,51,63,64,64,65,69

Median =Middle observation ,if number of terms is odd

and if number of terms is even, divide number of terms by ,2 and then follow the procedure

`=(10^(th term)+11^(th term))/(2)\\\\=(41+45)/(2)\\\\=43`

To find the Outlier

`Q_(1)=(28+30)/(2)=29,Q_(3)=(51+63)/(2)=57`

Interquartile range = 57 - 29=28

Data values are approximately equally distributed on both sides of median.

That is, 43-22=21, and ,69 -43=26

So,we can say that there will be no outliers.

Graph will be positively skewed.

Mean > Median

So,mean will be better measure of central tendency because, 43.4-22=21.4, and 69-43.4=25.6

Option A: There are no outliers.

And, Option C: The Mean is good measure of central tendency.