1. Comment on the shape of the distribution.2. Use the empirical rule to state the percentage of annual sales between 1255 and 9181(millions of dollars)3. Based on the z score, is the highest sale, $14138 (in millions) an outlier? Explain 4. Sample data are collected on annual sales, in millions ofdollars, for 21 pharmaceutical companies. Part of thedescriptive statistics from Excel is displayed as follows.(Round off your results at 2 decimal places if the resultsare not integers.)MeanMedianVarianceStandardDeviationDescriptive Statistics (Annual Sales)5218.004019.00Minimum 608.003963.00Maximum 14138.0015705369.00 RangeSkewness13530.001.18

Answered: . Comment on the shape of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

1. Comment on the shape of the distribution. 2. Use the empirical rule to state the percentage of annual sales between 1255 and 9181(millions of dollars) 3. Based on the z score, is the highest sale, $14138 (in millions) an outlier? Explain

4. Sample data are collected on annual sales, in millions of
dollars, for 21 pharmaceutical companies. Part of the
descriptive statistics from Excel is displayed as follows.
(Round off your results at 2 decimal places if the results
are not integers.)
Mean
Median
Variance
Standard
Deviation
Descriptive Statistics (Annual Sales)
5218.00
4019.00
Minimum 608.00
3963.00
Maximum 14138.00
15705369.00 Range
Skewness
13530.00
1.18

Expert Solution

Step 1

If the mean is greater than the median, then the distribution is positively skewed. Also, if the coefficient of skewness greater than 1, then the distribution is positively skewed.

68-95-99 Rule is called Empirical rule.

68% of the data lies within one standard deviation of the mean i.e., $(M e a n - S \tan d a r d d e v i a t i o n, M e a n + S \tan d a r d d e v i a t i o n)$

95% of the data lies within two standard deviation of the mean i.e., $(M e a n - 2 * S \tan d a r d d e v i a t i o n, M e a n + 2 * S \tan d a r d d e v i a t i o n)$

99% of the data lies within three standard deviation of the mean i.e., $(M e a n - 3 * S \tan d a r d d e v i a t i o n, M e a n + 3 * S \tan d a r d d e v i a t i o n)$