Answered: What do these descriptive stats…

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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What do these descriptive stats indicate?

Data were collected from a sample of 1723 french-speaking parents who had at least one child living at home. The sample comprised a majority of women (87%). Participants were aged 22 to 75 (mean age = 39.50; SD = 8.26). 15% of children were aged between 0 and 2; 22% were aged between 2 and 5; 27% between 6 and 11, 12% between 12 and 15, 8% between 16 and 18; 6% between 18 and 20 and 10% were above 20 years old. 1261 parents (73.2%) came from Belgium, 422 (24.5%) from other French-speaking European countries and 40 (2.3%) from outside Europe. The mean number of siblings was 2.30 (SD = 1.08), ranging from 1 to 7.

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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