Fill in the blank.
When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the​ mean, we call the new value a​ _______.
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Part 1
When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the​ mean, we call the new value a 
▼ 
z-score.
variation.
range.
mean.

The correct answer is **z-score**.

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, this is called a **z-score**. The z-score allows for comparisons between different data points by showing how far away each point is from the mean in terms of standard deviations.

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:
1. How is the z-score calculated for a data point?
2. What does a positive z-score indicate about a data point?
3. What does it mean if a z-score is zero?
4. How does the z-score relate to a normal distribution?
5. Can z-scores be used to compare data from different distributions?

**Tip:** Z-scores are particularly useful in identifying outliers in a data set.

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a z-score.

Learn how to convert data values to a standardized scale using the z-score formula: z = (X - μ) / σ. This statistical concept shows how many standard deviations a value is from the mean and is crucial for understanding data distribution and identifying outliers. Suitable for students in Grades 9-12.

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