Which variable, mean or median, is the better representation of the center for this data set? Why? (You do not have to calculate the median to answer this question) 6:24 RM •5G ll 20%Mat120_take_ho..All changes savedPart 1. Show all workProblem 1A college professor monitored the activity on his coursewebsite. For every day of October, he recorded thenumber of students who used the site on that day. Heorganized the data in the following grouped frequencydistribution table:VariableMid PointFrequency0-657-13101515014-2017711921-27247228-3431131a. For this scenario, identify the following:Variable- number of student using siteIndividual- A single student who used the sitethat day• Population- total of all students using the siteeveryday in october• Population size- 387Number of days when at least 14 students usedthe website -b. Use the table above for calculations to estimate thepopulation mean. 387/31=12.483c. Interpret the meaning of the population mean.context of this problem. Population mean is the averageof the group. This would be the average of the studentswho use Ke site for that da0II

Introduction: As you have specifically asked whether it is better to use the mean or the median for…

Answered: Which variable, mean or median, is the…

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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Which variable, mean or median, is the better representation of the center for this data set? Why? (You do not have to calculate the median to answer this question)

6:24 RM •
5G ll 20%
Mat120_take_ho..
All changes saved
Part 1. Show all work
Problem 1
A college professor monitored the activity on his course
website. For every day of October, he recorded the
number of students who used the site on that day. He
organized the data in the following grouped frequency
distribution table:
Variable
Mid Point
Frequency
0-6
5
7-13
10
15
150
14-20
17
7
119
21-27
24
72
28-34
31
1
31
a. For this scenario, identify the following:
Variable- number of student using site
Individual- A single student who used the site
that day
• Population- total of all students using the site
everyday in october
• Population size- 387
Number of days when at least 14 students used
the website -
b. Use the table above for calculations to estimate the
population mean. 387/31=12.483
c. Interpret the meaning of the population mean.
context of this problem. Population mean is the average
of the group. This would be the average of the students
who use Ke site for that da0
II

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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