Asked by Joshua Steele on Jul 29, 2024

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Which of the following is true of all normal distributions?

A) They are symmetrical.
B) They have a standard deviation of zero.
C) They have a mean equal to the standard deviation.
D) They have a mean of zero.

Normal Distributions

A bell-shaped frequency distribution curve, where most of the data points are concentrated around the mean or average, often seen in natural phenomena and human attributes.

Symmetrical

Symmetrical refers to a situation where two halves of a whole are identical, mirror images of each other, maintaining balance and proportion.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the individual values in a dataset deviate from the mean of the dataset.

  • Gain an insight into the relevance of normal distribution in the context of psychological data and the indices of variability (standard deviation).
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Ishant GuptaAug 02, 2024
Final Answer :
A
Explanation :
Normal distributions are symmetrical, meaning that the left side is a mirror image of the right side. The other choices are incorrect as normal distributions typically have a non-zero standard deviation and the mean and standard deviation are not equal or zero unless specific conditions are met.