Determine what percentage of your data is within 2 standard deviations of the mean. (Show your calculations). How does this seem to compare with the 68-95 99.7 rule?does this data seem to be normally distributed why or why not? **Histogram of Weights****Descriptive Statistics: Weights****Statistics**- **Variable**: Weights- **N**: 30- **Mean**: 92.37- **SE Mean**: 5.11- **StDev**: 28.01- **Minimum**: 44.00- **Q1**: 64.50- **Median**: 96.50- **Q3**: 114.25- **Maximum**: 137.00**Explanation of the Histogram**The histogram displayed visually represents the distribution of the weights dataset. - **X-axis**: Displays the weights ranging from approximately 0 to 130.- **Y-axis**: Indicates the frequency of each weight range.- The histogram bars are yellow, showing intervals of weight grouped in categories.- A red curve is overlaid on the histogram, likely representing a normal distribution fit for the dataset.**Data Table**Names and corresponding weights are listed:- Jase Anders- Leelin Dye- Wes Obyrne- Marcus Mitchell- Kaden Dupree: 116- Easton Gifford: 125- Joel Ramos: 130- Andrew Boyd: 135- Troy Clevinger: 137These values provide a sample representation of individual weights within the dataset.

To find what percentage of the data is within 2 Standard deviations of the mean, Chebyshev's…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Determine what percentage of your data is within 2 standard deviations of the mean. (Show your calculations). How does this seem to compare with the 68-95 99.7 rule?

does this data seem to be normally distributed why or why not?

**Histogram of Weights**

**Descriptive Statistics: Weights**

**Statistics**

- **Variable**: Weights
- **N**: 30
- **Mean**: 92.37
- **SE Mean**: 5.11
- **StDev**: 28.01
- **Minimum**: 44.00
- **Q1**: 64.50
- **Median**: 96.50
- **Q3**: 114.25
- **Maximum**: 137.00

**Explanation of the Histogram**

The histogram displayed visually represents the distribution of the weights dataset.

- **X-axis**: Displays the weights ranging from approximately 0 to 130.
- **Y-axis**: Indicates the frequency of each weight range.
- The histogram bars are yellow, showing intervals of weight grouped in categories.
- A red curve is overlaid on the histogram, likely representing a normal distribution fit for the dataset.

**Data Table**

Names and corresponding weights are listed:

- Jase Anders
- Leelin Dye
- Wes Obyrne
- Marcus Mitchell
- Kaden Dupree: 116
- Easton Gifford: 125
- Joel Ramos: 130
- Andrew Boyd: 135
- Troy Clevinger: 137

These values provide a sample representation of individual weights within the dataset.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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