Asked by Marwah Al Duais on Jun 20, 2024

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A larger standard deviation of a normal distribution indicates that the distribution becomes:

A) narrower and more peaked.
B) flatter and wider.
C) more skewed to the right.
D) more skewed to the left.

Standard Deviation

A calculation that determines the extent of variability or dispersion in a series of values.

Normal Distribution

Normal distribution, also known as Gaussian distribution, is a continuous probability distribution that is symmetrical around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

  • Grasp the concepts of mean, standard deviation, and variance in the context of normal distributions.
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KB
Khalid BashashyJun 25, 2024
Final Answer :
B
Explanation :
A larger standard deviation means that the values in the distribution are more spread out from the mean. This results in a flatter and wider distribution. Conversely, a smaller standard deviation would result in a narrower and more peaked distribution. Skewness refers to the asymmetry of the distribution, which is not affected by changes in the standard deviation.