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Part 1
Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard deviation for the given sample data. What do the results tell​ us?
40 97 74 76 89 28 22 66 12 20 80   
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Part 1
Rangeequals
  
enter your response here ​(Round to one decimal place as​ needed.)

### Step 1: Calculate the Range
The **range** of a data set is the difference between the maximum and minimum values.

**Given Data**:  
\( 40, 97, 74, 76, 89, 28, 22, 66, 12, 20, 80 \)

- Maximum value: \( 97 \)
- Minimum value: \( 12 \)

**Range**:
\[
\text{Range} = 97 - 12 = 85
\]

Thus, the range equals **85**.

### Step 2: Calculate the Variance
To calculate the sample variance, follow these steps:

1. **Find the Mean**:
   \[
   \text{Mean} = \frac{40 + 97 + 74 + 76 + 89 + 28 + 22 + 66 + 12 + 20 + 80}{11

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard deviation for the given sample data. What do the results tell​ us? 40, 97, 74, 76, 89, 28, 22, 66, 12, 20, 80.

Explore how to calculate the range, variance, and standard deviation of a sample set of football team jersey numbers. This problem covers statistical concepts such as range, sample variance, and sample standard deviation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Step 1: Calculate the Range

Step 2: Calculate the Variance

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