Math Problem Statement

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​ _______. Question content area bottom 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.

Solution

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.

Would you like further details or have any questions?

Here are five related questions to expand on this:

  1. What is the formula for calculating a z-score?
  2. How does a positive z-score differ from a negative z-score?
  3. Can a z-score be zero? What does it mean?
  4. How do z-scores relate to the normal distribution?
  5. In what situations would you use z-scores

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Standardization
Z-Score

Formulas

Z = (X - μ) / σ

Theorems

68-95-99.7 Rule (Empirical Rule)

Suitable Grade Level

Grades 9-12