The test scores on a 100-point test were recorded for 20 students:61 93 91 86 55 63 86 82 76 5794 89 67 62 72 87 68 65 75 84a. Use an appropriate graph to describe the data.b. Describe the shape and location of the scores.c. Is the shape of the distribution unusual? Can you think of any reason the distribution of the scores would have such a shape?
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.
The test scores on a 100-point test were recorded for 20 students:
61 93 91 86 55 63 86 82 76 57
94 89 67 62 72 87 68 65 75 84
a. Use an appropriate graph to describe the data.
b. Describe the shape and location of the scores.
c. Is the shape of the distribution unusual? Can you think of any reason the distribution of the scores would have such a shape?
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