Problem Situation:The
CEO of your company has asked you, the human resource manager, to conduct a
study to determine whether or not male managers and female managers perceive
leadership styles differently and, if differences are found, to develop a
training program that will benefit gender differences in leadership. To this
end you selected, randomly, 10 male managers and 10 female managers to
participate in your study. To each manager a leadership style survey
questionnaire was administered. The questionnaire chosen was theBlake
& Mouton Managerial Grid as it assesses leadership
behavior. The numeric raw data results of the 18 question study are as follows:
|
Raw Numeric |
|||||||||
|
Question |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
Male |
4 |
4.6 |
3.2 |
3.9 |
4.2 |
3.7 |
4.1 |
4.5 |
3.5 |
|
Female |
4.2 |
4.1 |
4.2 |
4.6 |
3.9 |
4.1 |
4.7 |
4.1 |
4.2 |
|
Raw Numeric |
|||||||||
|
Question |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
|
Male |
4 |
3.9 |
4 |
3 |
4.5 |
4.9 |
3 |
3.3 |
3 |
|
Female |
4 |
4.2 |
4.1 |
4 |
4.5 |
4.3 |
3.9 |
4 |
3.7 |
Complete the following in a
single MS Word or Excel document:
Calculate the mean, median, mode, variance, and standard deviation
for the numeric data.
To find the mean, I added up each set of data and divided by the
number of questions. This gave me a mean of 3.85 for male managers, and a mean
of 4.15 for the female managers. Next to find the median, I placed each set of
data in numerical order. The median for the male managers came to 3.95 and the
female managers had a median of 4.1. The mode for the male managers was 3.4 and
the female had two modes; 4.1 and 4.2. Next the variance is a measure of by
how much each point frequency distribution lies above or below the mean for the
entire dataset (Argosy University,
2013)s2= Σ ( xi-x)2/ ( n – 1 ). The variance
for the male sample equaled .3332 and the standard deviation equaled .5772. For
the women the variance equaled .06261 with a standard deviation of .2502.
- Construct
a histogram, pie, or Stem-Leaf Display chart encompassing the mean
leadership scores for both male and female managers. Use an online
interactive program to formulate your histogram, pie charts, or Stem-Leaf
Display. - Construct
a histogram for median score values for male managers and female managers
with respect to management style. - What
does this say about the leadership styles?
