Distribution A: Sample Mean Median 90.176 96.54 Sample Skewness -0.51126938 Histogram 25 21 20 15 15 13 11 10 $0.00 to $24.99 $25.00 to $49.99 $50.00 to $74.99 $75.00 to $99.99 $100.00 to $124.99$125.00 to $149.99 Discuss the shape of the distributions using the histogram and sample statistics provided. Explain your reasoning.
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.
![Distribution A:
Sample Mean
Median
90.176
96.54
Sample
Skewness
-0.51126938
Histogram
25
21
20
15
15
13
11
10
9.
$0.00 to $24.99
$25.00 to $49.99 $50.00 to $74.99 $75.00 to $99.99 $100.00 to $124.99$125.00 to $149.99
Discuss the shape of the distributions using the histogram and sample statistics provided.
Explain your reasoning.
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