Descriptive Statistics

 

1. Descriptive Statistics: In six sentences or more, explain how you would use the descriptive statistical procedure(s) at work or in your personal life.
2. Misuse of Statistics: As we will see in the next 12 weeks, statistics when used correctly can be a very powerful tool in managerial decision making.

Statistical techniques are used extensively by marketing, accounting, quality control, consumers, professional sports people, hospital administrators, educators, politicians, physicians, etc…

As such a strong tool, statistics is often misused. Everyone has heard the joke (?) about the statistician who drowned in a river with an average depth of 3 feet or the person who boarded a plane with a bomb because “the odds of two bombs on the same plane are lower than one in one millionth”.

Can you find examples in the popular press of misuse of statistics?
3. How to Display Data Badly : Read the article “How to Display Data Badly” by Howard Wainer. It is attached here: How to Display Data Badly and also posted under the Content tab (after you choose the Content tab, choose Course Content and Session 1 from the list on the left).

Next read, Chart Junk Considered Useful after All, by Robert Kosara, https://eagereyes.org/criticism/chart-junk-considered-useful-after-all

In your own words, describe “Chart Junk”.

When should Chart Junk be avoided. When is it useful?

Include an image or link to an example of the worst data display you have seen at work or in the media (not in Wainer’s article).

Wainer gives rules for how to make bad charts & graphs. Which of Wainer’s rules describes what’s so bad about your example?

Sample Solution

Descriptive statistics are brief descriptive coefficients that summarize a given data set, which can be either a representation of the entire population or a sample of a population. Descriptive statistics are used to describe or summarize the characteristics of a sample or data set, such as a variable`s mean, standard deviation, or frequency. They are used to summarize and describe total numbers. Descriptive statistical procedures are more commonly used in work scenarios. They are used to examine patterns and trends to easily understand data. An example would be providing averages for a set of data, which helps to explain data in a realistic and meaningful way.

There are other contingency theories that provide a more continuum based approach such as Redding’s theory of leadership and management, however Fielder’s description of how situational factors affect the leadership style required for the situation is extremely useful in understanding the fundamentals of leadership (Pettinger, 2007). Chelladurai in his Multi Dimensional Model of Leadership, expands on much of Fiedler’s theory but in a continuum based approach, in which the leader can adapt their leadership style to fit the situation (Chelladurai and Madella, 2006). Chelladurai’s theory is taken from sports psychology but can be applied to an organisational scenario. It provides a much more empirical categorisation of task structure, clearly differentiating a plethora of situations that require certain leadership styles for success. Chealldurai found three characteristics that affect the leadership style required for a situation, called antecedents, they mainly expand upon Fiedler’s situational factors and leader – member relations and ultimately affect how a leader should behave towards a situation. The first are situational characteristics, the environment in which the leader must perform, the second are leader characteristics, the experience, personal qualities and skills of the leader, and the third are member characteristics, the motivation, skill and experience levels of group members (Chelladurai and Madella, 2006). The situational characteristics and member characteristics have a required behaviour to ensure maximum group performance, they also have a preferred behaviour to ensure the satisfaction of group members, if the leaders actual behaviour matches both the required behaviour and preferred behaviour of the situation the consequence is maximum group performance and satisfaction. However, if the group are not performing and achieving goals or are not satisfied or both, then the leader is able to amend their actual behaviour to improve this. Leaders able to monitor performance and satisfaction, and understand what is required to amend the situation will achieve optimum group performance in Chelladurai’s model.
The one limitation of Chealldurai’s model is that it assumes the leader is in a position of complete positional power over the group, and can implement any leadership style of their choosing without constraints. Positional power is the authority and influence a leader has over a group, if the leader has positional power, they will be able to implement the leadership style they best see fit for the situation. Positional

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