Asked by Marcos Gomez on Sep 23, 2024
Verified
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.
Verified Answer
SS
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.
Learning Objectives
- Evaluate the connection among mean, median, and mode in different kinds of distributions, with a focus on symmetric and skewed distributions.