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

MATLAB: An Introduction with Applications
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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.
Expert Solution
Step 1

The data is given on the closing stock prices of Maman.

The descriptive statistics from Excel are given.

Mean 16.41
Median 16.83
Variance 5.48
sd 2.34
n 117
min 6.29
max 18.86
Range 12.57
skewness -2.85

To answer the following question.

 

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