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The problem asks for the sample mean and sample standard deviation for a set of golf course yardages.

### Data:
The yardages provided are:
- 6981, 7099, 6930, 6992, 7518, 7100, 6935, 7518, 7013, 6800, 7045, 6891

### Steps to solve:

1. **Sample Mean:**
   The sample mean \(\bar{x}\) is the sum of all values divided by the number of values.
   \[
   \bar{x} = \frac{\sum x_i}{n}
   \]
   where \(x_i\) is each individual yardage and \(n\) is the total number of courses.

2. **Sample Standard Deviation:**
   The sample standard deviation \(s\) is calculated using:
   \[
   s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n-1}}
   \]
   where \(x_i\) is each individual value, \(\bar{x}\) is the sample mean, and \(n\) is the total number of values.

I will calculate these values now.The sample mean of the golf course yardages is **7068.5** yards, and the sample standard deviation is **226.4** yards.

Would you like further details on these calculations or have any questions?

Here are some follow-up questions for deeper exploration:
1. How would the calculation change if the data represented the entire population instead of a sample?
2. What is the interpretation of the sample standard deviation in this context?
3. How would adding an outlier (e.g., a very long or very short golf course) affect the mean and standard deviation?
4. How can these statistics be used to compare golf courses in different states?
5. How would these statistics change if more courses were included in the sample?

**Tip:** Always use the sample standard deviation formula when working with a subset of data (i.e., a sample) rather than the entire population.

The January 1990 issue of Arizona Trend contains a supplement describing 12 'best' golf courses in the state. The yardages (lengths) of these courses are as follows: 6981, 7099, 6930, 6992, 7518, 7100, 6935, 7518, 7013, 6800, 7045, and 6891. Calculate the sample mean and sample standard deviation.

Calculate the sample mean and sample standard deviation of 12 golf course yardages: 6981, 7099, 6930, 6992, 7518, 7100, 6935, 7518, 7013, 6800, 7045, and 6891. This problem covers key statistics concepts such as sample mean and sample standard deviation.

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