The senior high school department of KsKC University found out that the final grade of 500 grade 12 students is normally distributed with a mean of 90 and standard deviation of 10.(This is an assumed data only)GradesInterpretation97-100With Highest Honors95-96With High Honor90-94With Honors75-89Average74 and belowFailedIf students from with honors up to with highest honors will be given a chance to take a scholarship exam, how many are they?

Distribution curve of normal distribution has bell shape which is symmetric about the mean. A normal…

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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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The senior high school department of KsKC University found out that the final grade of 500 grade 12 students is normally distributed with a mean of 90 and standard deviation of 10.

(This is an assumed data only)

Grades	Interpretation
97-100	With Highest Honors
95-96	With High Honor
90-94	With Honors
75-89	Average
74 and below	Failed

If students from with honors up to with highest honors will be given a chance to take a scholarship exam, how many are they?

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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