Question

311 is a certain​ city's web and phone portal for government information and nonemergency services. Agent abandonment rate is one of several call center metrics tracked by 311 officials. This metric tracks the percentage of callers who hang up after the target response of 45 seconds has elapsed. The given data contain the agent abandonment rate for 22 weeks of call center operation during a particular shift. Use the data to answer parts a through e. Day Abandonment_rate(%) 1 9 2 9 3 9 4 6 5 10 6 9 7 14 8 11 9 9 10 10 11 7 12 5 13 9 14 10 15 13 16 17 17 24 18 26 19 22 20 23 21 34 22 22 Compute (round to 2 decimal places if necessary) a. mean b. median c. Q1 d. Q3 e. standard deviation.

Answer 1

The data arrange in ascending order are as follows:

	X	X2
	1	1
	2	4
	3	9
	4	16
	5	25
	5	25
	6	36
	6	36
	7	49
	7	49
	8	64
	9	81
	9	81
	9	81
	9	81
	9	81
	9	81
	9	81
	10	100
	10	100
	10	100
	10	100
	11	121
	11	121
	12	144
	13	169
	13	169
	14	196
	14	196
	15	225
	16	256
	17	289
	17	289
	18	324
	19	361
	20	400
	21	441
	22	484
	22	484
	22	484
	23	529
	24	576
	26	676
	34	1156
Total	561	9371

a)

Here

n= 44

b)

n = 44 ( even)

  

  

= 10.5

c)

  

  

  

  

d)

  

  

  

  

e)

The standard deviation is given by