# statistics 193

Assignment 3: Raw Data Representation and Interpretation

By Wednesday, May 14, 2014, post your assignment to the M1: Assignment 3 Dropbox.

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 the Blake & Mouton Managerial Grid as it assesses leadership behavior. The numeric raw data results of the 18 question study are as follows:

 Raw Numeric Questionnaire Data 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 Questionnaire Data 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:

1. Calculate the mean, median, mode, variance, and standard deviation for the numeric data.
2. 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.
3. Construct a histogram for median score values for male managers and female managers with respect to management style.
4. Analyze the data and present preliminary conclusions based on answers to questions #2 and #3 with respect to the leadership style differences between male and female managers.
5. Offer a brief 5 point summary of the training program you might use to strengthen the leadership deficiencies found in either or both the male and female manager leadership style.