A survey was taken at a large company and the question asked was \"How many e-ma

Question

A survey was taken at a large company and the question asked was "How many e-mails do you send per week?" The results of 30 employees is given. (Give all numerical answers using two decimal places.)

(a) The mean is .
(b) The standard deviation is .
(c) The minimum is .
(d) The first quartile is .
(e) The median is = .
(f) The third quartile is .
(g) The maximum is
(h) The IQR is .
(i) Outliers would be considered as any number below or any number above .
(j) Are there outliers in the data set?

32
135
90 100
128
76 54
183
78 90
34
115 98
111
99 80
81
103 113
112
55 114
64
35 103
77
112 30
76
104

Explanation / Answer

(a) The mean is 89.4.

(b) The standard deviation is 33.85.

(c) The minimum is 30.

(d) The first quartile is Q1= 76.

(e) The median is =94 .

(f) The third quartile is Q3=111.75.

(g) The maximum is 183.

(h) The IQR is 111.75-76=35.75.

(i) Outliers would be considered as any number below Q1-1.5*IQR =22.375

or any number above Q3+1.5*IQR =165.375.

(j) Are there outliers in the data set?

Yes, 183.

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