Which of the following best describes the similarities and differences between two normal distributions pictured below? Normal distributions 0.025 0.020 0.015 - 0.010 0.005 - 0.000 - 40 60 80 100 120 140 160 Both distribution have the same mean, but the red distribution has a higher standard deviation. Both distributions have the same mean, but the read distribution has the higher variance. both distributions have the same mean but the blue distribution has the higher standard deviation both distributions have the same mean but the blue distribution has a higher variance both distributions have the same variance and standard deviation, but the blue distribution has the higher mean both distributions have the same variance and standard deviation. but the red distributions has the higher mean The distributions are identical having the same mean variance and standard deviation.

Which of the following best describes the similarities and differences between two normal distributions pictured below? Normal distributions 0.025 0.020 0.015 - 0.010 0.005 - 0.000 - 40 60 80 100 120 140 160 Both distribution have the same mean, but the red distribution has a higher standard deviation. Both distributions have the same mean, but the read distribution has the higher variance. both distributions have the same mean but the blue distribution has the higher standard deviation both distributions have the same mean but the blue distribution has a higher variance both distributions have the same variance and standard deviation, but the blue distribution has the higher mean both distributions have the same variance and standard deviation. but the red distributions has the higher mean The distributions are identical having the same mean variance and standard deviation.

Name: Which of the following best describes the similarities and difference
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Description: Which of the following best describes the similarities and differences between two normal distributions pictured below?Normal distributions0.0250.0200.0150.0100.0050.000406080100140160Both distribution have the same mean, but the red distribution ha

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Which of the following best describes the similarities and differences between two normal distributions pictured below?
Normal distributions
0.025
0.020
0.015
0.010
0.005
0.000
40
60
80
100
140
160
Both distribution have the same mean, but the red distribution has a higher standard deviation.
Both distributions have the same mean, but the read distribution has the higher variance.
both distributions have the same mean but the blue distribution has the higher standard deviation
both distributions have the same mean but the blue distribution has a higher variance
both distributions have the same variance and standard deviation, but the blue distribution has the higher mean
both distributions have the same variance and standard deviation, but the red distributions has the higher mean
The distributions are identical having the same mean, variance and standard deviation.

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