Answered: Find the (a) mean, (b) median, (c)…

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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Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency? 1450 1950 1500 1950 1600 1400 1950 1850 1400 1650 1950 1200 m a. Find the mean. The mean is $ (Type an integer or a decimal rounded to one decimal place as needed.) b. Find the median. The median is $ (Type an integer or a decimal rounded to one decimal place as needed.) c. Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The mode(s) is(are) $ (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode. d. Find the midrange. The midrange is $ (Type an integer or a decimal rounded to one decimal place as needed.) e. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? Choose the best answer below. O A. The sample consists of the "best buy" TVs, so it is a random sample and is likely to be representative of the population. O B. Since the sample is random and the sample size is greater than 10, the sample should not be considered to be representative ot the population. O C. The sample consists of the "best buy" TVs, so it is not a random sample and is not likely to be representative of the population. O D. Since the sample is random and the sample size is greater than 10, the sample can be considered to be representative of the population. If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency? Choose the best answer below O A. The hinhest price is a relevant statistic. for somenne lannina to huv one of the TVs B. The difference between the lowest price and the highest price is a relevant statistic for someone planning to buy one of the TVs. O C. The price that occurs least frequently is a relevant statistic for someone planning to buy one of the TVs. O D. The lowest price is a relevant statistic for someone planning to buy one of the TVs.

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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