Answered: 1.11 A quick survey gives the price—an…

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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1.11 A quick survey gives the price—an estimated average for a 170-gram can—for 14 different brands of water-packed light tuna, based on prices paid nationally in supermarkets. 1.01 1.92 1.22 0.84 0.65 0.52 1.41 1.14 0.65 0.66 0.71 0.60 0.61 0.67 Find the average price and average median price for the 14 different brands of tuna. (Round your answers to two decimal places and show answers.) Based on your findings, do you think that the distribution of prices is skewed? Explain. a) Since the median is higher than the mean, the distribution is slightly skewed to the left. b) More information is needed to determine skewness. c) Since the mean is higher than the median, the distribution is slightly skewed to the right. d) Since the mean and median are equal, the distribution is not skewed.

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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