Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

the following data represent the number of appointments made per 15 minute inter

ID: 1095800 • Letter: T

Question

the following data represent the number of appointments made per 15 minute interval by telephone solicitation for a lawn-care company

a. based on the tabular data, during the period that this information was collected, how many appointments were made?

b. if the boss wished to set a performance standard based on the mode, how many appointments should we expect an employee to make?

c. if the boss chose to set the performance standard based on the median, would anything change? support with numerical evidence?

d. based on the table, we should expect employees to make at least 2 appointments what percentage of the time?

e. complete the missing table elements (cumulative relative frequency)

# of appts freq. of occurance cum. relative frequency 0 31 1 57 2 26 3 14 4 6 5 3

Explanation / Answer

# of appts

freq. of occurance

cum. frequency

Cumulative relative frequency

0

31

31

0.226

1

57

88

0.642

2

26

114

0.832

3

14

128

0.934

4

6

134

0.978

5

3

137

1

Total =15

Total = 137

a) 15 appointments were made

b) Based on the mode the appointments we expect an employee to make is 5.

c) Median = 2+3 / 2 = 2.5 .based on the median we expect the employees to make 2.5 appointments.

d) At least 2 appointments 83.2 % of the times.

# of appts

freq. of occurance

cum. frequency

Cumulative relative frequency

0

31

31

0.226

1

57

88

0.642

2

26

114

0.832

3

14

128

0.934

4

6

134

0.978

5

3

137

1

Total =15

Total = 137