Answered: a population of PWD learners in 5…

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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a population of PWD learners in 5 schools in a certain municipality of Cavite City are (x) 9, 5, 6, 12 and 15. Suppose that 2 schools were selected as samples, determine the mean and variance of the sampling distribution of sample mean

STEPS

1. Compute the mean of the population μ.

Formula:

1. μ=∑ X/N=___________

The mean of the population is__________

2. Compute the variance of the population variance

(a) Subtract each measurement by the computed population mean

(b) Square the results obtained in (a) then add. Divide the sum by the frequency of measurements to get the value of the population variance

X	(a) x- μ	(b) (x- μ)²

(2) σ²=∑ (x- μ)²/N= ___________

so the variance of the population is _________

3.Determine the number of possible samples of size n=2

Use the formula _NC_{n= N! / n!(N-n)!= ___________}

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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