n a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 68 and a standard deviation of 9. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D.   The lowest score that would qualify a student for an A is ____ ​(Round up to the nearest integer as​ needed.)   The lowest score that would qualify a student for a B is _____ ​(Round up to the nearest integer as​ needed.)   The lowest score that would qualify a student for a C is _____ ​(Round up to the nearest integer as​ needed.)   The lowest score that would qualify a student for a D is ____ ​(Round up to the nearest integer as​ needed.)

Q: Find the standard deviation of the data: 22, 29, 21, 24, 27, 28, 25, 36 O a. 4.8 O b. 2.8 O C. 4.2 O…

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Q: Calculate the mean, standard deviation, and variance for the following five scores: 9, 4, 7, 1, 4.

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Q: 2, 5, 9, 13, 17, 202. Find the standard deviation for the above sample data.

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Q: Find the Mean, Median, Mode, and Standard Deviation of the data set. ((150, 105, 114, 124, 135, 150,…

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Q: Consider the following distribution of scores: 2,5,3,7,6,5. What is the mean?

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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.