MGMT2262
Worksheet #1
1) Annual salaries for a sample of 30 employees at a manufacturing plant are as follows in units of $10,000:
|
4.5 |
4.8 |
5.3 |
5.9 |
4.6 |
4.8 |
4.9 |
5.2 |
4.1 |
5.8 |
|
4.6 |
4.9 |
5.1 |
5.3 |
3.8 |
3.9 |
2.8 |
6.4 |
4.7 |
7.1 |
|
7.8 |
7.3 |
2.9 |
3.2 |
4.9 |
5.2 |
4.5 |
6.2 |
5.7 |
4.3 |
Form a stem and leaf plot with a leaf unit of 0.1 (see key)
2) Using a class width of 1, create a frequency table. (see key)
3) Using the same class width of 1, construct a histogram of the data using a frequency scale. (see key)
4) Using the same class width of 1, create an ogive curve using cumulative relative frequency for the scale. (see key)
5) Compute the mean, standard deviation and median of the data. (mean = 5.0167; std. dev. = 1.1832; median = 4.9)
6) Compute the coefficient of skewness. Interpret the value. (cs = 0.2958; slightly skewed right)
7) Suppose that for the annual salaries of employees at another company, the percentage of variation relative to the mean is 20.2%. Which company has more variation relative to its mean? (cv = 23.59%; this company)
8) Construct a box plot of the data. Does the data contain any outliers? (7.8 is a normal outlier)
A focus group with 15 respondents asked how many TV shows per week they watched. These were the results:
|
7 |
11 |
11 |
6 |
10 |
|
9 |
15 |
11 |
10 |
10 |
|
15 |
10 |
14 |
11 |
32 |
9) Form a stem and leaf plot with a stem unit of 10. (see key)
10) Using a class width of 4, create a frequency table. Use 6-9 as the first class. (see key)
11) Using the same class width of 4, construct a polygon of the data using a relative frequency scale. (see key)
12) Compute the coefficient of skewness. Interpret the value. (cs = 0.5624; slightly skewed right)
13) Does the data contain any outliers? (32 is an extreme outlier)
14) What is the mode? (10 and 11)
15) What is the range? (26)
16) If the outlier is removed, show why the mean is affected more than the median. (see key)