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) # Mat120: Take-Home Assignment## Part 1. Show all work### Problem 1A 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 | 3 | 5 || 7-13 | 10 | 15 || 14-20 | 17 | 7 || 21-27 | 24 | 3 || 28-34 | 31 | 1 |#### a. For this scenario, identify the following:- **Variable**: Number of students using site- **Individual**: A single student who used the site that day- **Population**: Total of all students using the site every day in October- **Population size**: 387- **Number of days when at least 14 students used the website**: [To be filled]#### b. Use the table above for calculations to estimate the population mean.- **Calculation**: 387/31 = 12.483#### c. Interpret the meaning of the population mean in the context of this problem.- **Interpretation**: The population mean is the average of the group. This would be the average of the students who used the site for that day.

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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)

# Mat120: Take-Home Assignment

## 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 | 3 | 5 |
| 7-13 | 10 | 15 |
| 14-20 | 17 | 7 |
| 21-27 | 24 | 3 |
| 28-34 | 31 | 1 |

#### a. For this scenario, identify the following:
- **Variable**: Number of students using site
- **Individual**: A single student who used the site that day
- **Population**: Total of all students using the site every day in October
- **Population size**: 387
- **Number of days when at least 14 students used the website**: [To be filled]

#### b. Use the table above for calculations to estimate the population mean.
- **Calculation**: 387/31 = 12.483

#### c. Interpret the meaning of the population mean in the context of this problem.
- **Interpretation**: The population mean is the average of the group. This would be the average of the students who used the site for that day.

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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