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11. Which of the following is a property of the normal distribution?
A. The normal distribution curve can go below the x-axis, but just barely.
B. The tails (ends) of the normal distribution curve are allowed to curve back up away from the
x-axis.
C. The normal distribution can have two modes as long as the graph is symmetric.
D. The mean, median, and mode are located at the center.

Sagot :

The correct statement regarding the normal distribution is given by:

D. The mean, median, and mode are located at the center.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Most measures of the normal distribution are concentrated around the center, which represents all of the mean, median and mode, hence option D is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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