Asked by Marcos Gomez on Sep 23, 2024

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In a perfectly symmetric bell shaped "normal" distribution:

A) the mean equals the median.
B) the median equals the mode.
C) the mean equals the mode.
D) All of these choices are true.

Symmetric

Characteristic of a shape or figure that is identical on both sides of a central line; it applies broadly to situations where two sides of something are mirror images of each other.

Bell Shaped

Descriptive of a graph or distribution which is symmetrical and has its highest point in the middle, tapering off evenly on both sides, characteristic of a normal distribution.

Normal Distribution

A bell-shaped probability distribution characterized by its mean and standard deviation, frequently occurring in nature and statistics.

  • Evaluate the connection among mean, median, and mode in different kinds of distributions, with a focus on symmetric and skewed distributions.
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Salama Salem2 days ago
Final Answer :
D
Explanation :
In a perfectly symmetric bell-shaped normal distribution, the mean, median, and mode are all equal, hence all of the choices are true.