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In a symmetrical distribution, the mean, median, and mode are:a.Equal to each otherb.Different from each otherc.Not applicabled.Cannot be determined

Question

In a symmetrical distribution, the mean, median, and mode are:

  • a. Equal to each other
  • b. Different from each other
  • c. Not applicable
  • d. Cannot be determined
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Solution

In a symmetrical distribution, the mean, median, and mode are equal to each other. This is a key characteristic of symmetrical distributions such as the normal distribution.

  1. Mean: The average of all data points, which is located at the center of the distribution.
  2. Median: The middle value when all data points are arranged in order, which also coincides with the center in a symmetrical distribution.
  3. Mode: The most frequently occurring data point, which, in symmetrical distributions, is also located at the center.

Thus, in a symmetrical distribution, all three measures of central tendency coincide, leading us to conclude that the correct answer is:

Final Answer

a. Equal to each other.

This problem has been solved

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1/3

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