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Descriptive Statistics+probability

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Topics: Descriptive Statistics and Probability

1. Look at the data given below. Plot the data, find the outliers and find out
2
, ,

Measure
Name of company X
Allied Signal 24.23%
Bankers Trust 25.53%
General Mills 25.41%
ITT Industries 24.14%
J.P.Morgan & Co. 29.62%
Lehman Brothers 28.25%
Marriott 25.81%
MCI 24.39%
Merrill Lynch 40.26%
Microsoft 32.95%
Morgan Stanley 91.36%
Sun Microsystems 25.99%
Travelers 39.42%
US Airways 26.71%
Warner-Lambert 35.00%

2.

Questions referred to from Aczel A., Sounderpandian J., Complete Business Statistics (7ed.)
Answer the following three questions based on the box-plot above.
(i) What is inter-quartile range of this dataset? (please approximate the
numbers) In one line, explain what this value implies.
(ii) What can we say about the skewness of this dataset?
(iii) If it was found that the data point with the value 25 is actually 2.5, how
would the new box-plot be affected?

3.

Answer the following three questions based on the histogram above.


(i) Where would the mode of this dataset lie?
(ii) Comment on the skewness of the dataset.

Questions referred to from Aczel A., Sounderpandian J., Complete Business Statistics (7ed.)
(iii) Suppose that the above histogram and the box-plot in question 2 are
plotted for the same dataset. Explain how these graphs complement
each other in providing information about any dataset.

Questions referred to from Aczel A., Sounderpandian J., Complete Business Statistics (7ed.)

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