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. 12, 17, 23, 15, 21, 16, 20, 17, 14, 19 The range is (Simplify your answer.)

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### Determining Statistical Measures for Ages of Shoppers

The ages (in years) of a random sample of shoppers at a gaming store are shown below. We need to determine the range, mean, variance, and standard deviation of the sample data set.

#### Sample Data Set of Ages:
12, 17, 23, 15, 21, 16, 20, 17, 14, 19

---

#### Range:
The range is the difference between the maximum and minimum values in the data set.

The problem requires us to determine:
```
The range is [ __ ]
```
To solve, simplify your answer.

---

To calculate the other measures (mean, variance, and standard deviation), you can follow these steps:

#### Mean:
The mean (average) is calculated by summing all the ages and then dividing by the number of ages.

#### Variance:
Variance measures how far the ages are spread out from their mean. It is calculated by taking the average of the squared differences from the Mean.

#### Standard Deviation:
The standard deviation is the square root of the variance and provides a measure of how spread out the ages are from the mean.
Transcribed Image Text:### Determining Statistical Measures for Ages of Shoppers The ages (in years) of a random sample of shoppers at a gaming store are shown below. We need to determine the range, mean, variance, and standard deviation of the sample data set. #### Sample Data Set of Ages: 12, 17, 23, 15, 21, 16, 20, 17, 14, 19 --- #### Range: The range is the difference between the maximum and minimum values in the data set. The problem requires us to determine: ``` The range is [ __ ] ``` To solve, simplify your answer. --- To calculate the other measures (mean, variance, and standard deviation), you can follow these steps: #### Mean: The mean (average) is calculated by summing all the ages and then dividing by the number of ages. #### Variance: Variance measures how far the ages are spread out from their mean. It is calculated by taking the average of the squared differences from the Mean. #### Standard Deviation: The standard deviation is the square root of the variance and provides a measure of how spread out the ages are from the mean.
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