The data reflect the number of vacation days that a sample of employees at Google have left to take before the end of the year. Complete parts a through c.
4
0
2
0
1
2
4
2
 
4
1
4
0
0
1
3
4
3
3
1
7
5
3
3
0
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Part 1
a. Compute the range for these sample data.
The range is 
  
7.
Part 2
b. Compute the variance for these sample data.
The variance is 
  
3.46.
​(Round to two decimal places as​ needed.)
Part 3
c. Compute the standard deviation for these sample data.
The standard deviation is 
select: 1.76
1.76.
​(Round to two decimal places as​ needed.)

Here are the computed values:

- **Range**: 7
- **Variance**: 3.46 (rounded to two decimal places)
- **Standard deviation**: 1.86 (rounded to two decimal places)

Do you have any questions or would you like more details?

Here are some related questions to explore further:

1. How would the variance change if the maximum or minimum values were adjusted?
2. What is the significance of using the sample variance formula (with ddof=1)?
3. How does the standard deviation help in understanding the spread of the data?
4. What is the difference between population variance and sample variance?
5. How would adding more data points affect the standard deviation?

**Tip**: Standard deviation is a great tool to measure data spread, but always ensure you're using the correct formula for a sample or population!

The data reflect the number of vacation days that a sample of employees at Google have left to take before the end of the year. Complete parts a through c. The data set includes: 4, 0, 2, 0, 1, 2, 4, 2, 4, 1, 4, 0, 0, 1, 3, 4, 3, 3, 1, 7, 5, 3, 3, 0. 

Part 1: Compute the range for these sample data.
Part 2: Compute the variance for these sample data.
Part 3: Compute the standard deviation for these sample data.

Learn how to compute the range, variance, and standard deviation for a sample of vacation days taken by employees. This problem covers descriptive statistics, including formulas for range, sample variance, and standard deviation. The sample data includes 25 values, with a range of 7, a variance of 3.46, and a standard deviation of 1.86.

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