Question

question 9 points 1
what are the parameters of the normal distribution?
mean and median
mean and standard deviation

Explanation:

Define the parameters of a distribution

Using the Normal Distribution Properties knowledge point
A probability distribution is completely characterized by its parameters, which determine its shape, location, and scale.

Identify the parameters of the normal distribution

Using the Normal Distribution Properties and Standard Deviation knowledge points
The normal distribution is uniquely defined by two parameters:

• The mean \(\mu\), which determines the center or location of the peak.
• The standard deviation \(\sigma\), which determines the spread or width of the distribution.

Evaluate the given options

Using the Normal Distribution Properties knowledge point

• "Mean and Median": While the mean equals the median in a perfectly symmetric normal distribution, the median is not a parameter used to define the distribution's shape and scale.
• "Mean and Standard deviation": These are the two parameters \(\mu\) and \(\sigma\) that completely specify any normal distribution \(N(\mu, \sigma^2)\).

Answer:

• Mean and Median
• Mean and Standard deviation (Correct answer)