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The question asks to calculate the z-score for the value of $5 in the context of monthly entertainment spending. To do this, we need the mean and standard deviation of the data provided in the table. 

Let me walk you through the steps:

1. **List all the values**: I'll first extract the values from the table.
2. **Calculate the mean**: The mean of the data is the average of all the spending values.
3. **Calculate the standard deviation**: We'll calculate this based on the values.
4. **Calculate the z-score**: The z-score is computed using the formula:

\[
z = \frac{X - \mu}{\sigma}
\]

Where:
- $ X $ is the value we are calculating the z-score for (in this case, $5),
- $ \mu $ is the mean,
- $ \sigma $ is the standard deviation.

Let me first calculate the mean and standard deviation for the given values. I’ll also explain whether $5 is an unusual value based on its z-score (typically a z-score greater than 2 or less than -2 indicates an unusual value).The calculations give us the following results:

- **Mean (μ)**: 84.67 (rounded to two decimal places)
- **Standard Deviation (σ)**: 53.68
- **Z-score for $5**: -1.48

A z-score of -1.48 means that $5 is 1.48 standard deviations below the mean. Typically, a value is considered unusual if its z-score is less than -2 or greater than 2. Since the z-score of -1.48 is within this range, $5 is **not an unusual value** in this dataset.

Would you like further clarification on these calculations?

Here are 5 related questions you might find helpful:
1. How is the standard deviation interpreted in statistics?
2. What does it mean when a z-score is negative?
3. How would the z-score change if the data set had a smaller variance?
4. Can z-scores be used to compare data across different distributions?
5. What are the implications of having a high z-score in real-world data?

**Tip**: The z-score helps standardize data, allowing for comparison across different data sets or scales.

Calculate the z-score of the value $5. Is it an unusual value? Explain.

Learn how to calculate the z-score for a $5 value in a set of monthly entertainment spending data. This problem involves finding the mean, standard deviation, and z-score, and understanding whether $5 is an unusual value. Suitable for students in Grades 9-12.

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