Question

1. The duration of 40 phone calls (in minutes) for technical support is given belovw 12 3.3 0.5 48.7 16.7 1.2 14.8 8.2 9 11.5 17.7 3. 20.8 7.3 8.0 0.2 51.2 3.3 5.2 12.3 24.5 13.3 7.713.5 4.3 13.7 10.7 18.8 15.7 3.2 28.7 16.2 23.3 9.74.7 6.5 0.5 45.1 5.3 5.7 Complete Table 3.5, the frequency distribution table for the call duration data Duration in Minutes Frequen Percent 6-12 12 18 18-24 24-30 30-36 36-42 42-48 48 -54 a. What percentage of phone calls lasted less than 12 minutes b. What percentage of calls lasted a half hour or more? c. Represent the frequency distribution with a histogram. Use a percent scale on the vertical axis. d. Describe the shape of the distribution. Are there any gaps in the data? Outliers?

Answer 1

a)

0.325+0.225=0.55 or 55%

b)

0.025+0.05=0.075 or 7.5%

c)

d)

The data is skewed or right tailed, we have three outliers.

45.1

48.7

51.2

Your Histogram
Mean	13.155
Standard Deviation (s)	12.3002
Skewness	1.79954
Kurtosis	3.27433
Lowest Score	0.2
Highest Score	51.2
Distribution Range	51
Total Number of Scores	40
Number of Distinct Scores	37
Lowest Class Value	0
Highest Class Value	54
Number of Classes	9
Class Range	6