Answered: SUGAR Listed below are measured weights…

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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Question

1. SUGAR Listed below are measured weights (mg) of sugar in Domino packets labelled as containing 3500 mg (or 3.5 g). Are the data qualitative or quantitative? What is the level of measurement of the data (nominal, ordinal, interval, or ratio)? Before any rounding, are the weights discrete or continuous? Given that the weights are from Domino sugar packets selected from a much larger population, are the weights a sample or a population? If we calculate the mean of the listed values, is the result a statistic or a parameter?

3511 3516 3521 3531 3532 3545 3583 3588 3590 3617 3621 3635 3638 3643 3645 3647 3666 3673 3678 3723

2. FREQUENCY DISTRIBUTION Using the data from Exercise 1, construct a frequency distribution using a class width of 50 mg and a first class with a lower class limit of 3500 mg.

3. HISTOGRAM Use the frequency distribution from Exercise 2 to construct a histogram. Use class midpoint values for the horizontal scale.

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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