The range is (Simplify your answer.) The mean is (Simplify your answer. Round to the nearest tenth as needed.) The variance is (Simplify your answer. Round to the nearest tenth as needed.)
The range is (Simplify your answer.) The mean is (Simplify your answer. Round to the nearest tenth as needed.) The variance is (Simplify your answer. Round to the nearest tenth as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer this question under 30min because this quiz is timed
![### Statistical Analysis of Shopper Ages at a Gaming Store
The ages (in years) of a random sample of shoppers at a gaming store are as follows:
\[ 12, 15, 23, 15, 19, 18, 21, 16, 14, 15 \]
#### Range
The range is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer.)
#### Mean
The mean is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)
#### Variance
The variance is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)
#### Standard Deviation
The standard deviation is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faac5394c-8668-402c-9675-97ec190199e7%2F4fd2945d-eb8b-4ad3-ab54-1a7525b4cbb7%2Fohllk27_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Shopper Ages at a Gaming Store
The ages (in years) of a random sample of shoppers at a gaming store are as follows:
\[ 12, 15, 23, 15, 19, 18, 21, 16, 14, 15 \]
#### Range
The range is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer.)
#### Mean
The mean is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)
#### Variance
The variance is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)
#### Standard Deviation
The standard deviation is \[ \_\_\_\_\_\_\_ \].
(Simplify your answer. Round to the nearest tenth as needed.)
![### Determining the Range, Mean, Variance, and Standard Deviation
In this example, we will analyze a random sample of shopper ages at a gaming store. The data set for ages (in years) is as follows:
12, 15, 23, 15, 19, 18, 21, 16, 14, 15
We will determine the range, mean, variance, and standard deviation of this sample data set.
#### Steps to Calculate Each Measure
1. **The Range**
- The range is the difference between the maximum and minimum values in the data set.
2. **The Mean**
- The mean (average) is the sum of all data values divided by the number of data points.
- Formula: \[\bar{x} = \frac{\sum x_i}{n}\]
- Round to the nearest tenth as needed.
3. **The Variance**
- The variance measures the dispersion of the data points from the mean.
- Formula for sample variance: \[s^2 = \frac{\sum (x_i - \bar{x})^2}{n - 1}\]
- Round to the nearest tenth as needed.
4. **The Standard Deviation**
- The standard deviation is the square root of the variance and indicates how much the data points spread out from the mean.
- Formula: \[s = \sqrt{s^2}\]
- Round to the nearest tenth as needed.
### Data for Input and Simplification Prompts
- **The range is:** [ ]
- [Simplify your answer.]
- **The mean is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
- **The variance is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
- **The standard deviation is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
**Note:** Input the calculated values in the respective blanks and ensure proper rounding and simplification as instructed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faac5394c-8668-402c-9675-97ec190199e7%2F4fd2945d-eb8b-4ad3-ab54-1a7525b4cbb7%2F4l2qzzs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining the Range, Mean, Variance, and Standard Deviation
In this example, we will analyze a random sample of shopper ages at a gaming store. The data set for ages (in years) is as follows:
12, 15, 23, 15, 19, 18, 21, 16, 14, 15
We will determine the range, mean, variance, and standard deviation of this sample data set.
#### Steps to Calculate Each Measure
1. **The Range**
- The range is the difference between the maximum and minimum values in the data set.
2. **The Mean**
- The mean (average) is the sum of all data values divided by the number of data points.
- Formula: \[\bar{x} = \frac{\sum x_i}{n}\]
- Round to the nearest tenth as needed.
3. **The Variance**
- The variance measures the dispersion of the data points from the mean.
- Formula for sample variance: \[s^2 = \frac{\sum (x_i - \bar{x})^2}{n - 1}\]
- Round to the nearest tenth as needed.
4. **The Standard Deviation**
- The standard deviation is the square root of the variance and indicates how much the data points spread out from the mean.
- Formula: \[s = \sqrt{s^2}\]
- Round to the nearest tenth as needed.
### Data for Input and Simplification Prompts
- **The range is:** [ ]
- [Simplify your answer.]
- **The mean is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
- **The variance is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
- **The standard deviation is:** [ ]
- [Simplify your answer. Round to the nearest tenth as needed.]
**Note:** Input the calculated values in the respective blanks and ensure proper rounding and simplification as instructed.
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