Question

Use the accompanying data set to complete the following actions.

a. Find the quartiles.

b. Find the interquartile range.

c. Identify any outliers.

40 51 35 44 40 37 40 48 45 37 36 56 43 36 15 52 37 51 30 30 

  

a. Find the quartiles.

The first​ quartile, Q1 is =

The second​ quartile, Q2 =

The third​ quartile, Q3 =

​(Type integers or​ decimals.)

b. Find the interquartile range.

The interquartile range​ (IQR) is =

​(Type an integer or a​ decimal.)

c. Identify any outliers. Choose the correct choice below.

A.There exists at least one outlier in the data set at =

​(Use a comma to separate answers as​ needed.)

B.There are no outliers in the data set.

Answer 1

a) 1st quartile - 36

2nd quartile - 40

3td quartile -46.5

b) inter quartile range (IQR) =10.5

c) from the Q1- 1.5 *IQR and Q3 +1.5*IQR we identify outlier.

(15) is outlier in the given data set.

Correct option is A.there exist at least one outlier in the data set which is 15.