MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![### Statistical Analysis of Sample Data
**Problem Statement:**
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set.
**Sample Data:**
\[
12, 16, 23, 13, 21, 18, 22, 17, 14, 18
\]
---
**1. Range:**
The range is [Box for input]
_\textit{Simplify your answer.}_
---
**Instructions:**
1. **Range**: The range represents the difference between the maximum and minimum values in the data set.
2. **Mean (Average)**: The mean is calculated by summing all the values and dividing by the number of values.
3. **Variance and Standard Deviation**: These are measures of the data's spread from the mean. Variance is the average of the squared differences from the mean, while standard deviation is the square root of variance.
**Notes:**
- Enter your answer in the provided answer box and click "Check Answer."
- You have 3 attempts remaining for this question.
---
This exercise helps in understanding basic statistical measures and applying them to real-world data.](https://content.bartleby.com/qna-images/question/b419b322-4176-4c2f-965a-139795c7706f/eff4d7a4-0f54-4a36-9c18-19dd82930a70/9uvsirm_reoriented.jpeg)
Transcribed Image Text:### Statistical Analysis of Sample Data
**Problem Statement:**
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set.
**Sample Data:**
\[
12, 16, 23, 13, 21, 18, 22, 17, 14, 18
\]
---
**1. Range:**
The range is [Box for input]
_\textit{Simplify your answer.}_
---
**Instructions:**
1. **Range**: The range represents the difference between the maximum and minimum values in the data set.
2. **Mean (Average)**: The mean is calculated by summing all the values and dividing by the number of values.
3. **Variance and Standard Deviation**: These are measures of the data's spread from the mean. Variance is the average of the squared differences from the mean, while standard deviation is the square root of variance.
**Notes:**
- Enter your answer in the provided answer box and click "Check Answer."
- You have 3 attempts remaining for this question.
---
This exercise helps in understanding basic statistical measures and applying them to real-world data.
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