1. (a) Give one practical example for each where Arithmetic mean, Geometric Mean and Harmonic can be applied.(b) The following data shows fuel consumption (miles/(US) gallon) of different aspects of automobile design.DesignFuelConsumptionMazda21.0Datsun22.8Hornet21.4Civic30.4Corolla33.9Corona21.5Challenger15.5Continental10.4i) Find the Arithmetic mean and Median. Comment the Skewness by comparing Mean and Median.ii) If it is given that ∑8 i=1(xi − x̅)2 = 520.6493 then find the standard deviation.iii) Calculate the x̅± 3.s interval. Is there any measurement (Fuel Consumption) falls outside this interval? How will you interpret this measurement, if so?

We have to answer question based on central tendencies.

Answered: 1. (a) Give one practical example for…

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. (a) Give one practical example for each where Arithmetic mean, Geometric Mean and Harmonic can be applied.
(b) The following data shows fuel consumption (miles/(US) gallon) of different aspects of automobile design.

Design	Fuel Consumption
Mazda	21.0
Datsun	22.8
Hornet	21.4
Civic	30.4
Corolla	33.9
Corona	21.5
Challenger	15.5
Continental	10.4

i) Find the Arithmetic mean and Median. Comment the Skewness by comparing Mean and Median.

ii) If it is given that ∑⁸ _i=1(xi − x̅)² = 520.6493 then find the standard deviation.

iii) Calculate the x̅± 3.s interval. Is there any measurement (Fuel Consumption) falls outside this interval? How will you interpret this measurement, if so?

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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