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Question

Question
Based on the graph above, which statement best describes the graph? Answer Tables Ke) The two distributions have equal means and equal standard deviations. The two distributions have means that differ by 6 units and equal standard deviations. The two distributions have equal means and standard deviations that differ by 6 units. The two distributions have means that differ by 6 units and different standard deviations.

Asked By StarGazer27 at

Answered By Expert

Kevin

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Solution By Steps

Step 1: Identify the Means

The graph shows two normal distributions with peaks at different x-values. The peaks (means) are at 7 and 13.

Step 2: Calculate the Difference in Means

The difference between the means is

13 - 7 = 6 units.

Step 3: Compare the Standard Deviations

Both distributions have similar shapes and spread, indicating equal standard deviations.

Final Answer

The two distributions have means that differ by 6 units and equal standard deviations.

Key Concept

Normal Distribution Comparison

Key Concept Explanation

When comparing normal distributions, the mean indicates the center of the distribution, and the standard deviation indicates the spread. Equal standard deviations suggest similar spread, while different means indicate different central values.