Question

An administrator wanted to study the utilization of long-distance telephone service by a department. One variable of interest (let’s call it X) is the length, in minutes, of long-distance calls made during one month. There were 38 calls that resulted in a connection. The length of calls, already ordered from smallest to largest, are presented in the following table.

1.6

1.7

1.8

1.8

1.9

2.1

2.5

3.0

3.0

4.4

4.5

4.5

5.9

7.1

7.4

7.5

7.7

8.6

9.3

9.5

12.7

15.3

15.5

15.9

15.9

16.1

16.5

17.3

17.5

19.0

19.4

22.5

23.5

24.0

31.7

32.8

43.5

53.3

Which one of the following statements is not true?

A) The 75th percentile (Q3) is 17.5 minutes.

B) The 50th percentile is (Q2) 9.4 minutes.

C) The 25th percentile (Q1) is 4.4 minutes.

D) Q3- Q2 > Q2- Q1

E) Average X > Median X.

F) X distribution is positively skewed.

G) The percentile rank of 5.9 minutes is 13.

H) Range of X is 51.7 minutes.

I) IQR (Inter-Quartile Range) is 13.1 minutes.

J) There are 2 outliers in X distribution.

Answer 1

G

H

Are not true.