Coco S. A. supplies a range of computer hardware and software to 2000 schools within a large municipal region of Spain. When Coco S. A. won the contract the issue of customer service was considered to be central to the company being successful at the final bidding stage. The company has now requested that its customer service director creates a series of graphical representations of the data to illustrate customer satisfaction with the service. The following data has been collected during the last six months and measures the time to respond to the received complaint (days).

5 24 34 6 61 56 38 32 87 78 34 9 67 4 54 23 56 32 86 12 81 32 52 53 34 45 21 31 42 12 53 21 43 76 62 12 73 3 67 12 78 89 26 10 74 78 23 32 26 21 56 78 91 85 15 12 15 56 45 21 45 26 21 34 28 12 67 23 24 43 25 65 23 8 87 21 78 54 76 79

a) The customer service director has analysed this data to create a grouped frequency table and plotted the histogram. From this, he made a series of observations regarding the time to respond to customer complaints. Use this data to answer the next series of questions on Coco S.A. What is the range of the time in days for a response to customer complaints? Enter your answer rounded to two decimal places.

b) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the relative frequency percentage for the bin range from 21 to 30 days responses to customer complaints? Enter your answer rounded to two decimal places. Do not enter % in the answer box.

c) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the mean number of days to respond to customer complaints?

d) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the median number of days to respond to customer complaints?

e) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the modal number of days to respond to customer complaints? Note that there are two correct answers to the mode, and either will be accepted.

f) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the first quartile number of days to respond to customer complaints?

g) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the third quartile number of days to respond to customer complaints?

h) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the semiinterquartile range number of days to respond to customer complaints?

i) Using the data from the previous problem on Coco S.A.s time in days for response to customer complaints, what is the standard deviation in the number of days to respond to customer complaints?