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For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?​Group of answer choices​20 to 29.5​greater than 30​less than 20​30

Question

For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?​Group of answer choices​20 to 29.5​greater than 30​less than 20​30

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Solution

To determine the value of the mean for a perfectly symmetrical distribution with a median of 30, follow these steps:

  1. Understand the properties of a symmetrical distribution: In a perfectly symmetrical distribution, the mean, median, and mode are all equal. This is because the data is evenly distributed around the center point.

  2. Given information: The median of the distribution is 30.

  3. Apply the property of symmetry: Since the distribution is perfectly symmetrical, the mean must be equal to the median.

  4. Conclusion: Therefore, the mean is also 30.

The correct answer is: 30.

This problem has been solved

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