Answered: Refer to the data set of birth 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

Refer to the data set of birth weights (grams) of the 44 babies given in the accompanying table and use software or a calculator to find the mean and median. Examine the list of birth weights to make an observation about those numbers. How does that observation affect the way that the results should be rounded?

a. The mean of the data set is grams.

(Round to one decimal place as needed.)

b. The median of the data set is grams.

(Round to one decimal place as needed.)

2900 3700 2700 3300 3300 3300 3400 4000 3400 3600 3100 3000
3900 3600 2600 3600 3600 3300 2800 4000 3600 3200 3600 900
4100 3600 300 2400 3100 3000 4000 3100 3600 3100 4500 3200
3500 2800 2800 3200 3600 2400 2700 4000

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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