a. Find the mean using a different method that does not involve the mean () function. b. Find the median. c. Create a frequency table of the data list and then give the mode. d. Create a bar graph of the data list.   Note:  you have to do the manual method

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. Create a data list, ‘n’ consisting of the numbers: 5, 9, 14, 28, 31, 1, 31, 14, 38, 31

Use R – code to find the following:
a. Find the mean using a different method that does not involve the mean () function.

b. Find the median.

c. Create a frequency table of the data list and then give the mode.

d. Create a bar graph of the data list.

 

Note:  you have to do the manual method

 

**Campus Crime Data Overview**

This dataset presents information related to campus crime statistics across various educational institutions. The table includes four main columns:

1. **Number of Crimes:** This column lists the number of reported crimes on each campus.
   
2. **Number of Police:** This indicates the number of police officers employed by the respective institutions.

3. **Total Enrollment:** This column shows the total number of enrolled students at each institution.

4. **Private School:** This is a binary indicator, where '1' signifies a private school and '0' indicates a public school.

Here is the transcribed data:

| Number of Crimes | Number of Police | Total Enrollment | Private School |
|------------------|-----------------|-----------------|----------------|
| 64               | 12              | 1,131           | 1              |
| 138              | 21              | 12,954          | 0              |
| 141              | 32              | 16,009          | 0              |
| 84               | 22              | 1,682           | 1              |
| 86               | 35              | 2,888           | 1              |
| 141              | 45              | 17,407          | 0              |
| 135              | 42              | 3,028           | 1              |
| 174              | 50              | 4,306           | 1              |
| 201              | 75              | 34,511          | 0              |
| 203              | 84              | 37,240          | 0              |
| 125              | 36              | 2,918           | 1              |
| 234              | 109             | 39,414          | 0              |
| 143              | 45              | 4,000           | 1              |
| 148              | 50              | 20,950          | 0              |
| 152              | 48              | 4,277           | 1              |
| 158              | 52              | 26,519          | 0              |
| 174              | 69              | 27,687          | 0              |
| 84               | 26              | 2,810           | 1              |
| 173              | 58              | 27
Transcribed Image Text:**Campus Crime Data Overview** This dataset presents information related to campus crime statistics across various educational institutions. The table includes four main columns: 1. **Number of Crimes:** This column lists the number of reported crimes on each campus. 2. **Number of Police:** This indicates the number of police officers employed by the respective institutions. 3. **Total Enrollment:** This column shows the total number of enrolled students at each institution. 4. **Private School:** This is a binary indicator, where '1' signifies a private school and '0' indicates a public school. Here is the transcribed data: | Number of Crimes | Number of Police | Total Enrollment | Private School | |------------------|-----------------|-----------------|----------------| | 64 | 12 | 1,131 | 1 | | 138 | 21 | 12,954 | 0 | | 141 | 32 | 16,009 | 0 | | 84 | 22 | 1,682 | 1 | | 86 | 35 | 2,888 | 1 | | 141 | 45 | 17,407 | 0 | | 135 | 42 | 3,028 | 1 | | 174 | 50 | 4,306 | 1 | | 201 | 75 | 34,511 | 0 | | 203 | 84 | 37,240 | 0 | | 125 | 36 | 2,918 | 1 | | 234 | 109 | 39,414 | 0 | | 143 | 45 | 4,000 | 1 | | 148 | 50 | 20,950 | 0 | | 152 | 48 | 4,277 | 1 | | 158 | 52 | 26,519 | 0 | | 174 | 69 | 27,687 | 0 | | 84 | 26 | 2,810 | 1 | | 173 | 58 | 27
**Student Sample Dataset Codebook**

This codebook provides a detailed description of the variables included in the student sample dataset. Each variable is explained with its data type, measurement scale, and any specific value labels used for categorical data.

- **ids**
  - Description: ID number
  - Type: Numeric
  - Measure: Nominal

- **bday**
  - Description: Date of birth (mm/dd/yyyy)
  - Type: Date
  - Measure: Scale

- **enrolldate**
  - Description: Date of college enrollment (mm/dd/yyyy)
  - Type: String
  - Measure: Scale

- **expgradate**
  - Description: Expected date of college graduation (mm/dd/yyyy)
  - Type: String
  - Measure: Scale

- **Rank**
  - Description: Class rank
  - Type: Numeric
  - Measure: Ordinal
  - Value Labels: 1=Freshman, 2=Sophomore, 3=Junior, 4=Senior

- **Major**
  - Description: Major
  - Type: String
  - Measure: Nominal

- **Gender**
  - Description: Gender
  - Type: Numeric
  - Measure: Nominal
  - Value Labels: 0=Male, 1=Female

- **Athlete**
  - Description: Is student an athlete?
  - Type: Numeric
  - Measure: Nominal
  - Value Labels: 0=Non-athlete, 1=Athlete

- **Height**
  - Description: Height (inches)
  - Type: Numeric
  - Measure: Scale

- **Weight**
  - Description: Weight (pounds)
  - Type: Numeric
  - Measure: Scale

- **Smoking**
  - Description: Does student smoke?
  - Type: Numeric
  - Measure: Nominal
  - Value Labels: 0=Nonsmoker, 1=Past smoker, 2=Current smoker

- **Sprint**
  - Description: 35-meter sprint time (seconds)
  - Type: Numeric
  - Measure: Scale

- **MileMinDur**
  - Description: Mile run time (hh:mm:ss)
  - Type: Datetime
  - Measure: Scale

- **English**
  - Description: Score on English placement test (out of 100 points)
Transcribed Image Text:**Student Sample Dataset Codebook** This codebook provides a detailed description of the variables included in the student sample dataset. Each variable is explained with its data type, measurement scale, and any specific value labels used for categorical data. - **ids** - Description: ID number - Type: Numeric - Measure: Nominal - **bday** - Description: Date of birth (mm/dd/yyyy) - Type: Date - Measure: Scale - **enrolldate** - Description: Date of college enrollment (mm/dd/yyyy) - Type: String - Measure: Scale - **expgradate** - Description: Expected date of college graduation (mm/dd/yyyy) - Type: String - Measure: Scale - **Rank** - Description: Class rank - Type: Numeric - Measure: Ordinal - Value Labels: 1=Freshman, 2=Sophomore, 3=Junior, 4=Senior - **Major** - Description: Major - Type: String - Measure: Nominal - **Gender** - Description: Gender - Type: Numeric - Measure: Nominal - Value Labels: 0=Male, 1=Female - **Athlete** - Description: Is student an athlete? - Type: Numeric - Measure: Nominal - Value Labels: 0=Non-athlete, 1=Athlete - **Height** - Description: Height (inches) - Type: Numeric - Measure: Scale - **Weight** - Description: Weight (pounds) - Type: Numeric - Measure: Scale - **Smoking** - Description: Does student smoke? - Type: Numeric - Measure: Nominal - Value Labels: 0=Nonsmoker, 1=Past smoker, 2=Current smoker - **Sprint** - Description: 35-meter sprint time (seconds) - Type: Numeric - Measure: Scale - **MileMinDur** - Description: Mile run time (hh:mm:ss) - Type: Datetime - Measure: Scale - **English** - Description: Score on English placement test (out of 100 points)
Expert Solution
Step 1

Instruction : " Note:  you have to do the manual method " 

 

Given Data :

5, 9, 14, 28, 31, 1, 31, 14, 38, 31

 

a) Sum  = 5 +  9 + 14 +  28 +  31 + 1 + 31 + 14 +  38 + 31 = 202

sample size , n = 10

Mean , x¯= Sumn=20210=20.2

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