Frequency Distribution Table Construction

Overview

The animation demonstrates how a raw list of 10 sales values is transformed step‑by‑step into a complete frequency distribution table, showing absolute frequency, relative frequency, percentage, cumulative absolute frequency, cumulative relative frequency, and cumulative percentage.

---

Phases

#	Phase Name	Duration	Description
1	Data Introduction	~4s	The 10 sales data points appear as a horizontal list in the bottom area.
2	Class Binning	~5s	The data are grouped into appropriate class intervals (e.g., $[0,10),[10,20),\dots$). The intervals are displayed in the left area.
3	Absolute Frequency	~5s	For each class, the count of data points is tallied and shown in the table column "$f$".
4	Relative Frequency	~4s	The relative frequency $r = \frac{f}{N}$ is computed and displayed in column "$r$".
5	Percentage	~4s	Percentages $p = 100\\,r$ are added in column "$\\%$".
6	Cumulative Absolute	~4s	Cumulative absolute frequency $F$ is filled column "$F$".
7	Cumulative Relative & Percent	~4s	Cumulative relative $R = \frac{F}{N}$ and cumulative percent $P = 100\\,R$ are added in columns "$R$" and "$\\%_{cum}$".
8	Final Table Reveal	~3s	The complete table fades in, and the bottom data list fades out.
9	Outro	~2s	A brief caption summarizing the key takeaway fades in at the bottom.

---

Layout

┌─────────────────────────────────────────────┐
│                 TOP AREA                    │
├──────────────────────┬──────────────────────┤
│                      │                      │
│      LEFT AREA       │     RIGHT AREA       │
│  (Table building)    │  (Class intervals   │
│                      │   & legends)         │
├──────────────────────┴──────────────────────┤
│                 BOTTOM AREA                 │
│   Raw sales data list (initially)           │
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Top	Title: "Construcción de la tabla de distribución de frecuencias"	Fades in at start of Phase 1
Left	The frequency table, columns added progressively per phase	Primary focus; columns appear with a smooth left‑to‑right reveal
Right	List of class intervals with a brief legend explaining bin width	Appears in Phase 2 and stays throughout
Bottom	Horizontal list of the 10 raw sales values (e.g., 5, 12, 7, 22, …)	Visible only in Phase 1, fades out after Phase 8

---

Notes

• The raw data are generated randomly but fixed for reproducibility (e.g., $[5, 12, 7, 22, 9, 15, 18, 3, 27, 11]$).
• Class intervals are chosen to cover the data range with a convenient bin width (e.g., width = 5).
• All numerical values are displayed with one decimal place for relative and cumulative relative columns, and with no decimals for absolute counts.
• Transitions between phases use a brief cross‑fade (≈0.5 s) to keep the total runtime under 30 seconds.
• No textual narration is used; the visual progression alone conveys the construction process.
• The final caption in the Outro reads: "La tabla muestra cómo se distribuyen las ventas en frecuencias absolutas, relativas y acumuladas."