Answered: USH Financial is examining the use of…

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

USH Financial is examining the use of its midtown ATM machine. The numbers of transactions made in a day at this ATM for the past 21 days are as follows.51, 58, 63, 64, 65, 69, 71, 72, 73, 73, 73, 75, 77, 77, 79, 82, 84, 86, 88, 9, 97

Answer the questions below.

(a) Which measures of central tendency do not exist for this data set? Choose all that apply.

Mean

Median

Mode

All of these measures exist

(b) Suppose that the measurement 51 (the smallest measurement in the data set) were replaced by 8. Which measures of central tendency would be affected by the change? Choose all that apply.

Mean

Median

Mode

None of these measures

(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.

Mean

Median

Mode

None of these measures

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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