The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the fange, mean, vallance, and staridald devia. set. 12, 16, 23, 13, 21, 18, 22, 17, 14, 18 O The range is . (Simplify your answer.)

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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.
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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