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II. Consider the following set of data. 49 59 48 56 36 76 87 45 Determine the value of 1. Mean 2. Median 3. Mode 4. Range 5. MD 6. Variance 7. Standard Deviation

II. Consider the following set of data. 49 59 48 56 36 76 87 45 Determine the value of 1. Mean 2. Median 3. Mode 4. Range 5. MD 6. Variance 7. Standard Deviation

MATLAB: An Introduction with Applications
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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--- ### Statistical Analysis Exercise **Consider the following set of data:** ``` 49, 59, 48, 56, 36, 76, 87, 45 ``` **Determine the value of:** 1. **Mean** 2. **Median** 3. **Mode** 4. **Range** 5. **MD (Mean Deviation)** 6. **Variance** 7. **Standard Deviation** --- This exercise is designed to help students understand and calculate various statistical measures. Follow these steps to solve each part of the exercise. 1. **Mean**: The mean is the average of all the numbers in the data set. 2. **Median**: The median is the middle value when the numbers are arranged in ascending order. If the data set has an even number of observations, the median is the average of the two middle numbers. 3. **Mode**: The mode is the number that appears most frequently in the data set. 4. **Range**: The range is the difference between the largest and smallest numbers in the data set. 5. **MD (Mean Deviation)**: The mean deviation is the average of the absolute differences between each number and the mean. 6. **Variance**: Variance measures the spread of the numbers in the data set and is the average of the squared differences from the mean. 7. **Standard Deviation**: The standard deviation is the square root of the variance and provides a measure of the dispersion of the data set. Make sure to follow each calculation method step-by-step, showing your work clearly for full credit and better understanding. ---
Transcribed Image Text:--- ### Statistical Analysis Exercise **Consider the following set of data:** ``` 49, 59, 48, 56, 36, 76, 87, 45 ``` **Determine the value of:** 1. **Mean** 2. **Median** 3. **Mode** 4. **Range** 5. **MD (Mean Deviation)** 6. **Variance** 7. **Standard Deviation** --- This exercise is designed to help students understand and calculate various statistical measures. Follow these steps to solve each part of the exercise. 1. **Mean**: The mean is the average of all the numbers in the data set. 2. **Median**: The median is the middle value when the numbers are arranged in ascending order. If the data set has an even number of observations, the median is the average of the two middle numbers. 3. **Mode**: The mode is the number that appears most frequently in the data set. 4. **Range**: The range is the difference between the largest and smallest numbers in the data set. 5. **MD (Mean Deviation)**: The mean deviation is the average of the absolute differences between each number and the mean. 6. **Variance**: Variance measures the spread of the numbers in the data set and is the average of the squared differences from the mean. 7. **Standard Deviation**: The standard deviation is the square root of the variance and provides a measure of the dispersion of the data set. Make sure to follow each calculation method step-by-step, showing your work clearly for full credit and better understanding. ---
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