Answered: A survey of family doctor practices in…

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

A survey of family doctor practices in seychelles was carried out by a seychelles Research Institution in
2017. Each practice was given a score from 1 to 6, where 1 represents high cause for concern and 6
denotes low cause for concern. The data are illustrated in the bar chart.
In writing about this story, a newspaper reporter computed the mean score from these data.
a) Find the value of the mean.
b) Discuss whether or not the mean is a suitable measure for these data.
c) Suppose you are reporting the same story on a famous radio programme in seychelles so that
listeners cannot see the bar chart. Write a short paragraph summarizing the most important
features of the data for your listeners.

Bands
864
336
1 2
Highest
449
691
3
Concern
4
1,139
5
3,797
6
Lowest

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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