Dr. Smith initially decides to curve the class scores according to the following criteria relative to the normal distribution with mean = 78 and the standard deviation = 8. So instead of having the standard 90,80,70,60 and below 60 points he will use:At or above the 90th percentile = AAt or above the 80th percentile = BAt or above the 70th percentile = CAt or above the 60th percentile = DBelow 60th percentile = FGiven the above grading criteria, what are the standardized Z values for each minimum score for each grade A-F?Based on the information above, what will be the actual point score ranges for each grade?

Given Information: Mean μ=78 Standard deviation σ=8

Answered: Dr. Smith initially decides to curve…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Dr. Smith initially decides to curve the class scores according to the following criteria relative to the normal distribution with mean = 78 and the standard deviation = 8. So instead of having the standard 90,80,70,60 and below 60 points he will use:

At or above the 90^th percentile = A
At or above the 80^th percentile = B
At or above the 70^th percentile = C
At or above the 60^th percentile = D
Below 60^th percentile = F

Given the above grading criteria, what are the standardized Z values for each minimum score for each grade A-F?

Based on the information above, what will be the actual point score ranges for each grade?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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