1.The Personnel Officer of a company obtained a list of the 40 employees who had been recorded as having at least one day’s absence during the last twelve months. The number of days absent for these employees were as follows 10 15 2 8 4 2 17 25 7 4 4 6 2 3 25 16 1 1 31 10 2 15 1 3 1 15 3 12 13 18 6 7 6 11 24 1 5 42 3 4 5 5 5 6 7 7 (a) Make a relative frequency table of the data using groups 0 − 4, 5 − 9, . . . technically, such groups are known as bins. (b) Draw a frequency histogram of the data. (c) Describe the shape of the distribution of the data, commenting on any interesting features. (d) Calculate the sample mean and the sample median, and compare these two values. Which of these two values is more ‘informative’? (e) Calculate the range and the interquartile range of the data. (f) Calculate the sample variance, the sample standard deviation and the coefficient of variation.
1.The Personnel Officer of a company obtained a list of the 40 employees who had been recorded as having at least one day’s absence during the last twelve months. The number of days absent for these employees were as follows
10 15 2 8 4 2 17 25 7 4 4 6 2 3 25 16 1 1 31 10
2 15 1 3 1 15 3 12 13 18 6 7 6 11 24 1 5 42 3 4
5
5 5
6
7 7
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(a) Make a relative frequency table of the data using groups 0 − 4, 5 − 9, . . . technically, such groups are known as bins.
-
(b) Draw a frequency histogram of the data.
-
(c) Describe the shape of the distribution of the data, commenting on any interesting features.
-
(d) Calculate the sample mean and the sample
median , and compare these two values. Which of these two values is more ‘informative’? -
(e) Calculate the
range and theinterquartile range of the data. -
(f) Calculate the sample variance, the sample standard deviation and the coefficient of variation.
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