As with the Part I Activity, determine which “average” would be a better fit for the data given. Notice that the first two scenarios are very similar to those done in the activity. Given a dataset, calculate and determine whether the mean or median would be a better representation of the data. As you work through these two problems, be sure to calculate BOTH the mean and median. Be careful in how you choose which “average” to use since the question asks for a particular ScenarioMeanMedianExplanationa) A retail store had total sales of $436,$650, $530, $500, $650, $489, and $423last week. Which measure of data would make the store’s sales last week appear the most profitable? b) Suppose you have opened some Nutty Bars to check the company’s claim of an “average” of 8 peanuts per bar. Here is what you found after opening 10 bars: 5, 8, 8, 8, 11, 7, 8, 6, 6, and 6. Whichaverage should the company use tosupport their claim?

a) Here we have 7 values. In increasing order, they are $423, $436, $489, $500, $530, $650, $650.…

Answered: As with the Part I Activity, determine…

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

As with the Part I Activity, determine which “average” would be a better fit for the data given. Notice that the first two scenarios are very similar to those done in the activity. Given a dataset, calculate and determine whether the mean or median would be a better representation of the data. As you work through these two problems, be sure to calculate BOTH the mean and median. Be careful in how you choose which “average” to use since the question asks for a particular

Scenario

Mean

Median

Explanation

a) A retail store had total sales of $436,

$650, $530, $500, $650, $489, and $423

last week. Which measure of data would make the store’s sales last week appear the most profitable?

b) Suppose you have opened some Nutty Bars to check the company’s claim of an “average” of 8 peanuts per bar. Here is what you found after opening 10 bars: 5, 8, 8, 8, 11, 7, 8, 6, 6, and 6. Which

average should the company use to

support their claim?

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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