A customer service center keeps track of the number of complaints received each
ID: 3125033 • Letter: A
Question
A customer service center keeps track of the number of complaints received each day about one of their new products. The number of complaints received over the last 11 days are given below.
a. Compute the mean of this sample data.
b. What is the median of this sample data?
c. What is the mode of this sample data?
d. If the sum of squares of the deviations from the mean, ( ) = 76.91, what are variance and the standard deviation? (You may round your answers to 3 decimal places.)
Day # Complaints 1 19 2 18 3 22 4 21 5 17 6 18 7 22 8 20 9 16 10 23 11 25Explanation / Answer
a.The mean of the data is: (19+18+22+…+25)/11
=20.09
b.To find the median first arrange the data in an ascending order:
16,17,18,18,19,20,21,22,22,23,25
The median is the middle most value that is: 20
c.The mode is that frequency which occurred most that is here are two modes 18 and 22.
d.The variance is 76.91/(11-1)=7.691
The standard deviation is: 2.77
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