Answered: In a population of 20 families, the…

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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In a population of 20 families, the number of cars owned by each family is given below:
0, 2, 2, 3, 1, 1, 4, 2, 4, 5, 1, 3, 6, 1, 2, 4, 3, 2, 3, 3

Let X be the number of cars owned, and X_i be the possible values of X. Use this data to answer the following questions:

a.) Write down the relative-frequency distribution for X.

b.) Find the median of number of cars owned.

c.) Find the mean of number of cars owned.

d.) Using (b) and (c), are there more than 50% of values X_i above the mean, or less? Explain your answer.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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