Math Problem Statement

it is a unimodal frequency distribution where the scores are scattered on the X-axis while the frequency of occurrence is defined by the Y-axis.*

Z-distribution curve

Normal curve

Distribution curve

X-axis and Y-axis curve

Solution

The correct answer is:

Normal curve

A normal curve represents a unimodal frequency distribution, where scores (data points) are spread along the X-axis, and their frequency of occurrence is shown on the Y-axis. The normal distribution is symmetric, bell-shaped, and follows the empirical rule (68%-95%-99.7%).

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Related Questions:

  1. What are the key properties of a normal distribution?
  2. How does a normal curve differ from a skewed distribution?
  3. What is the significance of the standard deviation in a normal distribution?
  4. How does the Z-distribution relate to the normal curve?
  5. What are real-life examples of normal distributions?

Tip:

In a normal distribution, the mean, median, and mode are all equal and located at the center of the curve.

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Math Problem Analysis

Mathematical Concepts

Probability Distribution
Normal Distribution

Formulas

68%-95%-99.7% Rule (Empirical Rule)

Theorems

Normal Distribution Theorem

Suitable Grade Level

Grades 9-12