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For a bell-shaped distribution with µ = 30, what is the most probable value for the mode?​Group of answer choices​greater than 30​less than 30​30​0

Question

For a bell-shaped distribution with μ=30 \mu = 30 , what is the most probable value for the mode?

Group of answer choices

  • greater than 30
  • less than 30
  • 30
  • 0
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Solution

In a bell-shaped distribution, which is typically a normal distribution, the mode is the value that occurs most frequently. For a normal distribution:

  1. Mean (µ): This is the average of the distribution.
  2. Median: This is the middle value when the data is sorted.
  3. Mode: This is the most frequently occurring value in the distribution.

In a perfectly symmetrical bell-shaped (normal) distribution, the mean, median, and mode are all the same. Since you specified that the mean (µ) is 30, it follows that:

  • The mode = µ = 30.

Final Answer

The most probable value for the mode is 30.

This problem has been solved

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