Answered: Refer to Table 2 and comment on 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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please help with 1,2,3.

Sample data are collected on the closing stock prices of Maman, Inc. Part of the descriptive statistics from EXCEL are displayed as follows. Answer the following questions. (Round off your results at 2 decimal places if the results are not integers.)

Table 2

Descriptive Statistics (Stock price in $)
Mean	16.41	Minimum	6.29
Median	16.83	Maximum	18.86
Variance	5.48	Range	12.57
Standard Deviation	2.34	Skewness	-2.85
Sample size	117

1. Refer to Table 2 and comment on the shape of the distribution.

Group of answer choices

The skewness is -2.85, indicating that the data are highly skewed to the left.

The mean and median are close, indicating that the distribution is symmetric.

The variance is 5.48, indicating that there is a large variability in the data.

The range is 12.57, indicating that the data are highly skewed to the right.

2. Assume the stock price has a bell-shaped distribution. Refer to Table 2 and use the empirical rule to state the percentage of stock prices between $14.07 and $18.75.

Group of answer choices

There are 99.74% of the stock prices between $14.07 and $18.75.

There are 95.44% of the stock prices between $14.07 and $18.75.

There are 50% of the stock prices between $14.07 and $18.75.

There are 68.26% of the stock prices between $14.07 and $18.75.

3. Refer to Table 2, based on the z-score, is the highest stock price, $18.86, an outlier?

Group of answer choices

The maximum value is 18.86, greater than all the other values. Hence it is an outlier.

The skewness is -2.85, indicating that the value is an outlier.

The z-score is 1.05. Hence, it is an outlier.

The z-score is 1.05. Hence it is not an outlier.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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