
Exercise 1
The following table shows sample information for three students. Each
observation represents a single student and includes details such as
their unique student ID, name, age, total credits completed, major field
of study, and year level.
This dataset demonstrates a mixture of variable types:
- Nominal: StudentID, Name, Major
- Numeric: Age (continuous), CreditsCompleted
(discrete)
- Ordinal: YearLevel (Freshman → Senior)
S001 |
Alice |
20 |
45 |
Data Sains |
Sophomore |
S002 |
Budi |
21 |
60 |
Mathematics |
Junior |
S003 |
Citra |
19 |
30 |
Statistics |
Freshman |
# 1. Create vectors for each variable
StudentID <- c("S001", "S002", "S003") # Nominal / ID
Name <- c("Alice", "Budi", "Citra") # Nominal / Name
Age <- c(20, 21, 19) # Numeric / Continuous
CreditsCompleted <- c(45, 60, 30) # Numeric / Discrete
# Nominal
Major <- c("Data Sains", "Mathematics", "Statistics")
# Ordinal
YearLevel <- factor(c("Sophomore", "Junior", "Freshman"),
levels = c("Freshman","Sophomore","Junior","Senior"),
ordered = TRUE)
# 2. Combine all vectors into a data frame
students <- data.frame(
StudentID, Name, Age, CreditsCompleted, Major, YearLevel,
stringsAsFactors = FALSE
)
# 3. Display the data frame
print(students)
## StudentID Name Age CreditsCompleted Major YearLevel
## 1 S001 Alice 20 45 Data Sains Sophomore
## 2 S002 Budi 21 60 Mathematics Junior
## 3 S003 Citra 19 30 Statistics Freshman
Exercise 2
Identify Data Types: Determine the type of data for
each of the following variables:
# Install knitr package if not already installed
# install.packages("knitr")
library(knitr)
# Create a data frame for Data Types
variables_info <- data.frame(
No = 1:5,
Variable = c(
"Number of vehicles passing through the toll road each day",
"Student height in cm",
"Employee gender (Male / Female)",
"Customer satisfaction level: Low, Medium, High",
"Respondent's favorite color: Red, Blue, Green"
),
DataType = c(
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer"
),
Subtype = c(
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer"
),
stringsAsFactors = FALSE
)
# Display the data frame as a neat table
kable(variables_info,
caption = "Table of Variables and Data Types")
Table of Variables and Data Types
1 |
Number of vehicles passing through the toll road each
day |
Your Answer |
Your Answer |
2 |
Student height in cm |
Your Answer |
Your Answer |
3 |
Employee gender (Male / Female) |
Your Answer |
Your Answer |
4 |
Customer satisfaction level: Low, Medium, High |
Your Answer |
Your Answer |
5 |
Respondent’s favorite color: Red, Blue, Green |
Your Answer |
Your Answer |
Exercise 3
Classify Data Sources: Determine whether the
following data comes from internal or external
sources, and whether it is structured or
unstructured:
# Install DT package if not already installed
# install.packages("DT")
library(DT)
# Create a data frame for data sources
data_sources <- data.frame(
No = 1:4,
DataSource = c(
"Daily sales transaction data of the company",
"Weather reports from BMKG",
"Product reviews on social media",
"Warehouse inventory reports"
),
Internal_External = c(
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer"
),
Structured_Unstructured = c(
"Your Answer",
"Your Answer",
"Your Answer",
"Your Answer"
),
stringsAsFactors = FALSE
)
# Display the data frame as a neat table
datatable(data_sources,
caption = "Table of Data Sources",
rownames = FALSE) # hides the index column
Exercise 4
Dataset Structure: Consider the following
transaction table:
2025-10-01 |
2 |
1000 |
Laptop |
High |
2025-10-01 |
5 |
20 |
Mouse |
Medium |
2025-10-02 |
1 |
1000 |
Laptop |
Low |
2025-10-02 |
3 |
30 |
Keyboard |
Medium |
2025-10-03 |
4 |
50 |
Mouse |
Medium |
2025-10-03 |
2 |
1000 |
Laptop |
High |
2025-10-04 |
6 |
25 |
Keyboard |
Low |
2025-10-04 |
1 |
1000 |
Laptop |
High |
2025-10-05 |
3 |
40 |
Mouse |
Low |
2025-10-05 |
5 |
10 |
Keyboard |
Medium |
Your Assignment Instructions: Creating a
Transactions Table above in R
Create a data frame in R called
transactions
containing the data above.
Identify which variables are numeric and which are
categorical
Calculate total revenue for each transaction by
multiplying Qty × Price
and add it as a new column
Total
.
Compute summary statistics:
- Total quantity sold for each product
- Total revenue per product
- Average price per product
Visualize the data:
- Create a barplot showing total quantity sold per
product.
- Create a pie chart showing the proportion of total
revenue per customer tier.
Optional Challenge:
- Find which date had the highest total revenue.
- Create a stacked bar chart showing quantity sold
per product by customer tier.
Hints: Use data.frame()
,
aggregate()
, barplot()
, pie()
,
and basic arithmetic operations in R.
Exercise 5
Create Your Own Data Frame:
Objective: Create a data frame in R with 30
rows containing a mix of data types: continuous, discrete,
nominal, and ordinal.
Instructions
Open RStudio or the R console.
Create a vector for each column in your data
frame:
- Date: 30 dates (can be sequential or random within
a month/year)
- Continuous: numeric values that can take decimal
values (e.g., height, weight, temperature)
- Discrete: numeric values that can only take whole
numbers (e.g., number of items, number of vehicles)
- Nominal: categorical values with no
order (e.g., color, gender, city)
- Ordinal: categorical values with a defined
order (e.g., Low, Medium, High; Beginner, Intermediate,
Expert)
Combine all vectors into a data frame called
my_data
.
Check your data frame using head()
or View()
to ensure it has 30 rows and the
columns are correct.
Optional tasks:
- Summarize each column using
summary()
- Count the frequency of each category for Nominal
and Ordinal columns using
table()
Hints
- Use
seq.Date()
or as.Date()
to generate
the Date column.
- Use
runif()
or rnorm()
for continuous
numeric data.
- Use
sample()
for discrete, nominal, and ordinal
data.
- Ensure the ordinal vector is created with
factor(..., levels = c("Low","Medium","High"), ordered = TRUE)
(or similar).
---
title: "Data Exploration"       # Main title of the document
subtitle: "Exercises ~ Week 2"  # Subtitle or topic for week 2
author: "Your Full Name Here"   # Replace with your full name
date:  "`r format(Sys.Date(), '%B %d, %Y')`" # Auto displays the current date
output:                         # Output section defines the format and layout 
  rmdformats::readthedown:      # https://github.com/juba/rmdformats
    self_contained: true        # Embeds all resources (CSS, JS, images) 
    thumbnails: true            # Displays image thumbnails in the doc
    lightbox: true              # Enables click to enlarge images
    gallery: true               # Groups images into an interactive gallery
    number_sections: true       # Automatically numbers all sections
    lib_dir: libs               # Directory where JavaScript/CSS libraries
    df_print: "paged"           # Displays data frames as interactive paged 
    code_folding: "show"        # Allows folding/unfolding R code blocks 
    code_download: yes          # Adds a button to download all R code
---


<img id="Foto" src="https://github.com/dsciencelabs/images/blob/master/Logo_Dsciencelabs_v1.png?raw=true" alt="Logo" style="width:200px; display: block; margin: auto;">

---

## Exercise 1

The following table shows sample information for three students. Each observation represents a single student and includes details such as their unique student ID, name, age, total credits completed, major field of study, and year level.  

This dataset demonstrates a mixture of variable types:  

- **Nominal:** StudentID, Name, Major  
- **Numeric:** Age (continuous), CreditsCompleted (discrete)  
- **Ordinal:** YearLevel (Freshman → Senior)  

| StudentID | Name   | Age | CreditsCompleted | Major            | YearLevel |
|-----------|--------|-----|-----------------|-----------------|-----------|
| S001      | Alice  | 20  | 45              | Data Sains      | Sophomore |
| S002      | Budi   | 21  | 60              | Mathematics     | Junior    |
| S003      | Citra  | 19  | 30              | Statistics      | Freshman  |

```{r}
# 1. Create vectors for each variable
StudentID <- c("S001", "S002", "S003")       # Nominal / ID
Name <- c("Alice", "Budi", "Citra")          # Nominal / Name
Age <- c(20, 21, 19)                         # Numeric / Continuous
CreditsCompleted <- c(45, 60, 30)            # Numeric / Discrete

# Nominal
Major <- c("Data Sains", "Mathematics", "Statistics")  

# Ordinal
YearLevel <- factor(c("Sophomore", "Junior", "Freshman"),
                    levels = c("Freshman","Sophomore","Junior","Senior"),
                    ordered = TRUE)          

# 2. Combine all vectors into a data frame
students <- data.frame(
  StudentID, Name, Age, CreditsCompleted, Major, YearLevel,
  stringsAsFactors = FALSE
)

# 3. Display the data frame
print(students)
```


## Exercise 2

**Identify Data Types:** Determine the type of data for each of the following variables:

```{r}
# Install knitr package if not already installed
# install.packages("knitr")
library(knitr)

# Create a data frame for Data Types
variables_info <- data.frame(
  No = 1:5,
  Variable = c(
    "Number of vehicles passing through the toll road each day",
    "Student height in cm",
    "Employee gender (Male / Female)",
    "Customer satisfaction level: Low, Medium, High",
    "Respondent's favorite color: Red, Blue, Green"
  ),
  DataType = c(
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer"
  ),
  Subtype = c(
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer"
  ),
  stringsAsFactors = FALSE
)

# Display the data frame as a neat table
kable(variables_info, 
      caption = "Table of Variables and Data Types")
```
---

## Exercise 3

**Classify Data Sources:** Determine whether the following data comes from **internal** or **external sources**, and whether it is **structured** or **unstructured**:

```{r}
# Install DT package if not already installed
# install.packages("DT")
library(DT)

# Create a data frame for data sources 
data_sources <- data.frame(
  No = 1:4,
  DataSource = c(
    "Daily sales transaction data of the company",
    "Weather reports from BMKG",
    "Product reviews on social media",
    "Warehouse inventory reports"
  ),
  Internal_External = c(
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer"
  ),
  Structured_Unstructured = c(
    "Your Answer",
    "Your Answer",
    "Your Answer",
    "Your Answer"
  ),
  stringsAsFactors = FALSE
)

# Display the data frame as a neat table
datatable(data_sources, 
          caption = "Table of Data Sources",
          rownames = FALSE) # hides the index column
```

---

## Exercise 4

**Dataset Structure:** Consider the following transaction table:

| Date       | Qty | Price | Product  | CustomerTier |
|------------|-----|-------|----------|--------------|
| 2025-10-01 | 2   | 1000  | Laptop   | High         |
| 2025-10-01 | 5   | 20    | Mouse    | Medium       |
| 2025-10-02 | 1   | 1000  | Laptop   | Low          |
| 2025-10-02 | 3   | 30    | Keyboard | Medium       |
| 2025-10-03 | 4   | 50    | Mouse    | Medium       |
| 2025-10-03 | 2   | 1000  | Laptop   | High         |
| 2025-10-04 | 6   | 25    | Keyboard | Low          |
| 2025-10-04 | 1   | 1000  | Laptop   | High         |
| 2025-10-05 | 3   | 40    | Mouse    | Low          |
| 2025-10-05 | 5   | 10    | Keyboard | Medium       |


**Your Assignment Instructions:** Creating a Transactions Table above in R

1. **Create a data frame** in R called `transactions` containing the data above.

2. Identify which variables are numeric and which are categorical

3. **Calculate total revenue** for each transaction by multiplying `Qty × Price` and add it as a new column `Total`.

4. **Compute summary statistics**:
   - Total quantity sold for each product
   - Total revenue per product
   - Average price per product

5. **Visualize the data**:
   - Create a **barplot** showing total quantity sold per product.
   - Create a **pie chart** showing the proportion of total revenue per customer tier.

6. **Optional Challenge**:
   - Find which **date** had the highest total revenue.
   - Create a **stacked bar chart** showing quantity sold per product by customer tier.

**Hints:** Use `data.frame()`, `aggregate()`, `barplot()`, `pie()`, and basic arithmetic operations in R.


## Exercise 5

**Create Your Own Data Frame:**

**Objective:** Create a data frame in R with **30 rows** containing a mix of data types: continuous, discrete, nominal, and ordinal.  

### Instructions

1. **Open RStudio** or the R console.  

2. **Create a vector for each column** in your data frame:  

   - **Date**: 30 dates (can be sequential or random within a month/year)  
   - **Continuous**: numeric values that can take decimal values (e.g., height, weight, temperature)  
   - **Discrete**: numeric values that can only take whole numbers (e.g., number of items, number of vehicles)  
   - **Nominal**: categorical values with **no order** (e.g., color, gender, city)  
   - **Ordinal**: categorical values with a **defined order** (e.g., Low, Medium, High; Beginner, Intermediate, Expert)  

3. **Combine all vectors into a data frame** called `my_data`.  

4. **Check your data frame** using `head()` or `View()` to ensure it has **30 rows** and the columns are correct.  

5. **Optional tasks**:  
   - Summarize each column using `summary()`  
   - Count the frequency of each category for **Nominal** and **Ordinal** columns using `table()`  

### Hints

- Use `seq.Date()` or `as.Date()` to generate the Date column.  
- Use `runif()` or `rnorm()` for continuous numeric data.  
- Use `sample()` for discrete, nominal, and ordinal data.  
- Ensure the **ordinal vector** is created with `factor(..., levels = c("Low","Medium","High"), ordered = TRUE)` (or similar).  





