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)
From the textbook
2.3 page 34
2.22 page
45
2.40 part a
page 61