ennifer makes the following scores on a series of calculus assignments 65 78 62 85 88 53 97 68 78 87 88 92 67 69 73 76 78 79 85 82 83 88 76 77 Find the mean and median. What is the most appropriate measure of central tendency for this sample? Why? Find the sum of squares, range, variance, and standard deviation for the sample. Describe the distribution visually in terms of skew and kurtosis. Sketch the distribution and then describe
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.
Jennifer makes the following scores on a series of calculus assignments
65 78 62 85 88 53 97 68 78 87 88 92
67 69 73 76 78 79 85 82 83 88 76 77
Find the mean and
What is the most appropriate measure of
Why?
Find the sum of squares,
Describe the distribution visually in terms of skew and kurtosis.
Sketch the distribution and then describe
We organize the given data in ascending order
Here N=24, is even, then
Thus median is 78.
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