This MCQ module is based on: Textual & Tabular Presentation — Parts of a Statistical Table
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Textual & Tabular Presentation — Parts of a Statistical Table
🎓 Class 11
Social Science
CBSE
Theory
Ch 4 — Presentation of Data
⏱ ~28 min
🌐 Language: [gtranslate]
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Presentation of Data — Textual and Tabular Methods
Once data have been collected and classified, the next job is to show them. NCERT identifies three forms of presentation — textual, tabular and diagrammatic. This part walks through the first two: how data hide inside the running text of a paragraph, why a serious researcher prefers a table, and what the eight precise parts of a good statistical table really mean. Along the way we re-build NCERT's literacy table, the Bihar election table, the yearly tea-shop sales and the India exports table.
4.1 Why Presentation Matters
In the previous chapters you learnt how data are collected and organised. The honest difficulty is that raw data are voluminous — page after page of numbers that nobody can read at a glance. The whole point of presenting data is to compress them into a compact, comprehensible form so that a reader can pick up the main message in a few seconds.
NCERT lists three standard methods of presentation. We will study textual and tabular presentation here, and diagrammatic presentation in Part 2.
Textual / Descriptive
Data are described inside paragraphs of running text. Best when the quantity of data is small and the writer wants to emphasise a few specific numbers.
Tabular
Data are arranged in rows and columns according to some classification — qualitative, quantitative, temporal or spatial. Ideal for medium and large datasets.
Diagrammatic
Data are translated into geometric shapes — bars, pies, histograms, line graphs. The fastest route from numbers to comprehension. Covered in Part 2.
📖 Definition — Presentation of Data
Presentation of data? is the act of arranging collected data in a compact, organised form — text, table or diagram — so that the information is easily read, compared and interpreted.
4.2 Textual / Descriptive Presentation
In textual presentation?, the figures are simply embedded in the sentences of a paragraph. The reader has to wade through the prose to extract the numbers. NCERT illustrates this with two cases — a small one (a Bihar bandh count) and a much heavier one (Census 2001 totals).
Case 1 — Bihar bandh, 8 September 2005
In a bandh call protesting the hike in petrol and diesel prices, 5 petrol pumps were found open and 17 were closed, while 2 schools were closed and 9 schools remained open in a town of Bihar. Easy to read, easy to digest — because there are only four numbers to keep track of.
In a bandh call protesting the hike in petrol and diesel prices, 5 petrol pumps were found open and 17 were closed, while 2 schools were closed and 9 schools remained open in a town of Bihar. Easy to read, easy to digest — because there are only four numbers to keep track of.
Case 2 — Census of India 2001 (rewritten)
Indian population had risen to 102 crore, of whom 49 crore were female and 53 crore male. Around 74 crore people lived in rural India and 28 crore in towns and cities. Of the 102 crore, 40 crore were workers and 62 crore were non-workers. The urban share showed even more non-workers (19 crore) against workers (9 crore), while the rural population had 31 crore workers out of 74 crore. Try answering "how many rural female workers were there?" from this paragraph alone — your eyes have to dart back and forth.
Indian population had risen to 102 crore, of whom 49 crore were female and 53 crore male. Around 74 crore people lived in rural India and 28 crore in towns and cities. Of the 102 crore, 40 crore were workers and 62 crore were non-workers. The urban share showed even more non-workers (19 crore) against workers (9 crore), while the rural population had 31 crore workers out of 74 crore. Try answering "how many rural female workers were there?" from this paragraph alone — your eyes have to dart back and forth.
✓ Strengths of textual presentation
- Simple — needs no special skill from the writer.
- Allows the writer to emphasise particular figures using bold, italics or surrounding commentary.
- Works well for very small datasets like Case 1.
✗ Weaknesses of textual presentation
- The reader must read the entire paragraph just to find one number.
- Comparisons across categories are hard — the eye cannot scan rows and columns.
- Becomes unmanageable as soon as the dataset grows beyond a handful of figures.
💡 The NCERT Verdict
Textual presentation is suitable when the quantity of data is not too large. The moment the numbers grow, a serious analyst switches to tables or diagrams. NCERT's Question 12 in the chapter exercises actually asks you to convert the urban–rural worker comparison from running text into a table.
4.3 Tabular Presentation of Data
In tabular presentation?, data are placed in rows (read horizontally) and columns (read vertically). The intersection of a row and a column is called a cell, and each cell holds one piece of information that links a row attribute with a column attribute. Tabulation organises data for further statistical treatment and decision-making.
4.3.1 NCERT's Worked Example — Literacy in India by Sex and Location
Table 4.1 in NCERT records literacy rates (per cent of population aged 7 years and above) from Census 2011, classified by sex (male, female, total) and location (rural, urban, total). It is a 3 × 3 table — three rows, three columns — giving nine cells of information.
| Sex | Rural | Urban | Total |
|---|---|---|---|
| Male | 79 | 90 | 82 |
| Female | 59 | 80 | 65 |
| Total | 68 | 84 | 74 |
Source: Census of India 2011. Literacy rates relate to population aged 7 years and above.
Notice how a single row instantly answers "what is the female literacy rate in urban India?" — 80%. The same question, put to NCERT's textual paragraph (Case 2), would force the reader to scan the whole page. That is the core advantage of tabulation.
Fig 4.0 — Literacy rates from Table 4.1 visualised. Urban literacy is higher than rural for both sexes, and the male–female gap is wider in rural areas.
4.3.2 The Four Bases of Classification Inside a Table
Inside any tabular presentation, the data must be classified by some logic. NCERT identifies four kinds of classification.
Qualitative
By attributes that cannot be measured numerically — sex, social status, nationality, religion. In Table 4.1 the attributes are sex and location.
Quantitative
By measurable characteristics — age, height, income, production. Class limits are assigned to the values. Table 4.2 (election survey by age) is an example.
Temporal
By time — hours, days, weeks, months, years. The classifying variable is calendar time. Table 4.3 (yearly sales of a tea shop) is a temporal classification.
Spatial
By place — village, town, district, state, country. Table 4.4 (Indian exports by destination) shows spatial classification.
4.3.3 Quantitative Classification — Bihar Election Survey (Table 4.2)
NCERT's Table 4.2 distributes 542 respondents in an election study by age in years. Quantitative classes (20–30, 30–40, …) are formed by assigning class limits. The table also lists the percentage share — and asks you to fill in the missing figures. Below is the completed reconstruction.
| Age group (years) | No. of respondents | Per cent |
|---|---|---|
| 20–30 | 3 | 0.55 |
| 30–40 | 61 | 11.25 |
| 40–50 | 132 | 24.35 |
| 50–60 | 153 | 28.24 |
| 60–70 | 140 | 25.83 |
| 70–80 | 51 | 9.41 |
| 80–90 | 2 | 0.37 |
| All | 542 | 100.00 |
Source: Assembly election Patna Central constituency 2005, A.N. Sinha Institute of Social Studies, Patna. Classifying characteristic = age in years.
4.3.4 Temporal Classification — Yearly Sales of a Tea Shop (Table 4.3)
When the classifying variable is time itself, the table is a temporal classification. NCERT's Table 4.3 records the yearly sales (Rs in lakhs) of a tea shop from 1995 to 2000.
| Year | Sale (Rs in lakhs) |
|---|---|
| 1995 | 79.2 |
| 1996 | 81.3 |
| 1997 | 82.4 |
| 1998 | 80.5 |
| 1999 | 100.2 |
| 2000 | 91.2 |
Data Source: Unpublished data.
Fig 4.0b — Yearly sales of the tea shop. 1999 sees a sharp jump above the Rs 100-lakh mark.
4.3.5 Spatial Classification — India's Exports by Destination (Table 4.4)
When the classifying variable is geographical place, the table is a spatial classification. NCERT's Table 4.4 shows the share of total Indian exports going to different destinations in 2013–14, with the world total at US $314.40 billion.
| Destination | Export Share (%) |
|---|---|
| USA | 12.5 |
| Germany | 2.4 |
| Other EU | 10.9 |
| UK | 3.1 |
| Japan | 2.2 |
| Russia | 0.7 |
| China | 4.7 |
| West Asia – Gulf Coop. Council | 15.3 |
| Other Asia | 29.4 |
| Others | 18.8 |
| All | 100.0 |
Total Exports: US $314.40 billion. Source: Reproduced from NCERT, classified by destination country/region.
Fig 4.0c — Indian export share by destination (2013–14). Other Asia and the WA-GCC region together account for nearly 45% of exports.
EXPLORE — Tea Shop Sales As Text
Bloom: L3 Apply
Rewrite the six rows of Table 4.3 as a single textual paragraph (without using any table or list). Then ask a friend to find the year of highest sales just by reading your paragraph aloud. Note how long it takes.
✅ Sample
"The annual sales of the tea shop were Rs 79.2 lakh in 1995, which rose marginally to Rs 81.3 lakh in 1996 and Rs 82.4 lakh in 1997, dipped slightly to Rs 80.5 lakh in 1998, climbed sharply to Rs 100.2 lakh in 1999 and settled at Rs 91.2 lakh in 2000." Even after this paragraph, finding "the year of highest sales" needs the reader to mentally compare six numbers — whereas the table allows the eye to scan one column.
4.4 Tabulation of Data and the Eight Parts of a Statistical Table
To construct a useful table you must know its standard parts. NCERT lists eight elements that together make a good statistical table. Tabulation can be one-way, two-way or three-way depending on the number of characteristics involved.
Fig 4.1 — The eight parts of a statistical table, mapped onto NCERT's Table 4.5.
Table Number
Identifies a table among many. Whole numbers (1, 2, 3) or subscripted (1.2, 4.5 — meaning chapter 4, fifth table). Placed at the top of, or just before, the title.
Title
Narrates what the table is about. Must be clear, brief and unambiguous. Sits at the head of the table just below or beside the table number.
Captions (Column Headings)
Designations at the top of each column explaining the figures below. In Table 4.5 the captions are "Main", "Marginal", "Total Workers", "Non-worker", "Total".
Stubs (Row Headings)
Designations of each row, written in the leftmost column (the "stub column"). In Table 4.5 the stubs are Rural / Urban / All × Male / Female / Total.
Body
The main part of the table — the actual data. Each cell's location is fixed by the row stub and column caption that intersect at it.
Unit of Measurement
Always stated alongside the title (or alongside the relevant stubs/captions if units differ across rows). Large numbers are rounded with the rounding method indicated.
Source Note
A brief statement at the bottom of the table giving the origin of the data. If multiple sources are used, all are listed.
Footnote / Note
The last part. Explains any specific feature of the data not self-explanatory or not already explained — for example "Figures rounded to nearest crore".
4.4.1 Worked Reconstruction — Table 4.5 (Workers and Non-workers, 2001)
Table 4.5 is NCERT's full-anatomy worked example. It restates the same data that Case 2 presented in running text — but now arranged as a three-way classification by location (rural/urban/all), gender (male/female/total), and worker status (main worker, marginal worker, total worker, non-worker, total). The unit is crore, and figures are rounded.
| Location | Gender | Main Worker | Marginal Worker | Total Workers | Non-worker | Total |
|---|---|---|---|---|---|---|
| Rural | Male | 17 | 3 | 20 | 18 | 38 |
| Female | 6 | 5 | 11 | 25 | 36 | |
| Total | 23 | 8 | 31 | 43 | 74 | |
| Urban | Male | 7 | 1 | 8 | 7 | 15 |
| Female | 1 | 0 | 1 | 12 | 13 | |
| Total | 8 | 1 | 9 | 19 | 28 | |
| All | Male | 24 | 4 | 28 | 25 | 53 |
| Female | 7 | 5 | 12 | 37 | 49 | |
| Total | 31 | 9 | 40 | 62 | 102 |
Source: Census of India 2001. Note: Figures rounded to the nearest crore. (Table 4.5 presents the same data NCERT first showed as Case 2 in textual form.)
🔍 What Table 4.5 Reveals at a Glance
Reading down the rural row: 31 crore workers in rural India compared with 9 crore in urban areas — i.e. roughly three-quarters of all Indian workers in 2001 lived in villages. Reading the female "All" row: only 12 crore female workers against 37 crore non-workers — that single comparison is buried inside Case 2's paragraph but jumps out instantly here.
4.5 Designing a Good Table — Practical Rules
NCERT lists three short activities about table design. Pulled together they form a useful checklist for any researcher.
- Two rows and two columns minimum. A table cannot have just one row or one column — it would no longer be a "table" but a list. So at least two rows and two columns are required to form a real table.
- Captions and stubs may be quantitative. Both row and column headings can be quantitative (Table 4.2's age groups appear as stubs; class intervals can also appear as captions). They are not restricted to qualitative attributes.
- Round large figures, state the rounding method. If the body shows millions or crores, round to a sensible number of digits and tell the reader (e.g. "rounded to the nearest crore").
- State all units along with the title. If different parts of the table use different units (e.g. one column in rupees, another in tonnes), state each unit alongside its caption or stub.
- Add source and footnotes. The data are not yours unless you collected them — a source note is mandatory. A footnote handles any quirk that the body cannot explain by itself.
THINK — Round Off Tables 4.2 and 4.3
Bloom: L3 Apply
NCERT asks you to present Table 4.2 (age and respondents) and Table 4.3 (yearly tea-shop sales) after appropriate rounding. Pick a sensible rule and apply it to every figure.
✅ Sample
Table 4.2 (rounded to nearest whole per cent): 20–30 → 1%, 30–40 → 11%, 40–50 → 24%, 50–60 → 28%, 60–70 → 26%, 70–80 → 9%, 80–90 → 0%. Note: the rounded total now reads 99% — the small loss must be flagged as a footnote.Table 4.3 (rounded to the nearest Rs lakh): 79, 81, 82, 81, 100, 91. The trend is preserved while the eye no longer has to read decimals.
DISCUSS — From Case 2 Text to a Table
Bloom: L4 Analyse
NCERT's activity asks you to present the first two sentences of Case 2 (population, female/male, rural/urban) as a table. Some details are scattered later in the chapter. Draft the table.
✅ Sample
Sample Table — India Population 2001 (Crore)
| Location | Male | Female | Total |
|---|---|---|---|
| Rural | 38 | 36 | 74 |
| Urban | 15 | 13 | 28 |
| All | 53 | 49 | 102 |
IMAGINE — Class Channel Preference Table
Bloom: L6 Create
NCERT's Activity in §4.3 asks you to construct a table presenting your classmates' preference for Star News, Zee News, BBC World, CNN, Aaj Tak and DD News. Sketch the table on paper and identify all eight parts (number, title, captions, stubs, body, unit, source, note).
✅ Sample
Table — Channel Preference Among Class XI-A Students (Number of students)
| Channel | Boys | Girls | Total |
|---|---|---|---|
| Star News | 5 | 4 | 9 |
| Zee News | 4 | 6 | 10 |
| BBC World | 2 | 1 | 3 |
| CNN | 1 | 2 | 3 |
| Aaj Tak | 6 | 3 | 9 |
| DD News | 2 | 4 | 6 |
| All | 20 | 20 | 40 |
4.6 Bringing It Together — A Worked CBQ
📋 Case-Based Question — Reading the India Exports Table
A student is asked to interpret Table 4.4 — India's exports by destination in 2013–14, with the world total at US $314.40 billion. The table classifies the destinations into ten groups and their export shares (per cent).
Q1. What kind of classification is used in Table 4.4 and which two parts of the table are most critical for interpreting the figures?
L1 RememberAnswer: The table uses spatial classification — destinations are arranged by country/region. The two critical parts for interpretation are the title (which fixes what the numbers represent — share of total exports in 2013–14) and the unit of measurement (per cent of total exports), without which the figure 12.5 next to "USA" would be ambiguous.
Q2. Calculate the actual export value (in US $ billion) going to "Other Asia" — the largest single destination group.
L3 ApplyAnswer: Other Asia's share is 29.4 % of US $314.40 billion = 0.294 × 314.40 = US $92.43 billion. (Roughly Rs 5.7 lakh crore at the 2013–14 average exchange rate.)
Q3. Compare the export share to USA with that to all the European destinations combined (Germany + Other EU + UK). What does the comparison say about India's export geography in 2013–14?
L4 AnalyseAnswer: Europe combined = 2.4 + 10.9 + 3.1 = 16.4 %. USA = 12.5 %. The European bloc as a whole received a slightly larger share than the USA. India's exports were therefore not dominated by any single Western country — the European Union taken together was a marginally bigger market than the United States in 2013–14.
Q4. The "Others" residual group has a 18.8 % share. Why is its presence in a table considered good practice rather than poor design?
L5 EvaluateAnswer: A residual "Others" category is defensible because (a) it ensures the column sums to 100 %, preserving the table's mathematical integrity; (b) it acknowledges that hundreds of small destinations exist and grouping them avoids cluttering the table with insignificant rows; (c) it exposes the share of trade going to uncategorised markets, which itself is a useful statistic. The danger lies only when "Others" hides a category that is individually large enough to deserve its own row.
⚖️ Assertion–Reason Questions (Class 11)
Choose: (A) Both A and R are true and R is the correct explanation of A. (B) Both A and R are true but R is not the correct explanation of A. (C) A is true, R is false. (D) A is false, R is true.
Assertion (A): Textual presentation is more effective than tabular presentation when the dataset is large.
Reason (R): A reader has to scan the entire paragraph to extract a single number from a textual presentation, whereas a row-and-column table allows a quick scan.
Correct: (D) — Assertion is false: textual presentation works only for small data; for large data tables are far better. The reason is true and is precisely why textual presentation fails on large data — but that makes A false, not true.
Assertion (A): Every well-constructed statistical table must contain a source note.
Reason (R): The source note tells the reader where the data come from and is essential for verifying and trusting the figures presented.
Correct: (A) — Both A and R are true and R correctly explains A. Without a source, the table's data cannot be cross-checked and lose credibility.
Assertion (A): The classification used in NCERT's Table 4.3 (yearly sales of a tea shop, 1995–2000) is a temporal classification.
Reason (R): In Table 4.3 the classifying variable is calendar time, and the data values change as the year changes.
Correct: (A) — Both statements are true and R correctly explains A. Whenever time is the classifying variable, the table is a temporal classification.
Frequently Asked Questions — Presentation of Data — Textual and Tabular Methods
What are the main parts of a statistical table in NCERT Class 11 Statistics Chapter 4?
A statistical table has seven essential parts according to NCERT Class 11 Statistics Chapter 4: table number, title (descriptive heading), head-note (units of measurement in brackets), captions (column headings, including main and sub-captions), stub (row headings on the left), body (the actual data cells), source note (where the data comes from), and footnote (clarifications on specific entries). Each part has a fixed position and purpose. A well-constructed table is self-explanatory — a reader should be able to interpret it without reading the surrounding text.
What is the difference between textual and tabular presentation of data?
Textual presentation describes data within paragraphs of prose, weaving numbers into sentences for context — useful when there are very few numbers or when the discussion is qualitative. Tabular presentation arranges data in rows and columns with clear captions, stubs and a defined body — making it easier to read, compare and analyse large datasets. NCERT Class 11 Statistics Chapter 4 Part 1 prefers tabular presentation for any non-trivial dataset because it saves space, shows totals and comparisons clearly, and is the foundation for further statistical or graphical analysis. Textual is best for emphasis on a single key figure.
What is a head-note in a statistical table and where is it placed?
A head-note in a statistical table is a short statement, usually placed in brackets just below the title, that gives the unit of measurement or any general qualification applying to the entire table — for example '(in tonnes)', '(₹ in crores)' or '(figures rounded to nearest hundred)'. NCERT Class 11 Statistics Chapter 4 Part 1 explains that the head-note prevents repetition of units in every cell and avoids confusion when a reader interprets the data. If different parts of the table use different units, those units are placed inside individual captions or as footnotes instead.
How do you classify statistical tables in NCERT Class 11?
NCERT Class 11 Statistics Chapter 4 Part 1 classifies tables on three bases. By purpose: general-purpose (reference) tables that present data without focus, versus special-purpose (summary) tables that highlight a specific finding. By originality: original tables containing primary data versus derivative tables based on secondary computations. By construction: simple tables presenting one characteristic, double tables with two characteristics, three-way tables with three characteristics, and complex (manifold) tables with many characteristics shown together. The choice of classification depends on the depth of analysis needed for the dataset.
What is a stub in a statistical table in NCERT Class 11 Statistics?
The stub of a statistical table is the column on the extreme left that contains the row headings, identifying what each row represents. NCERT Class 11 Statistics Chapter 4 Part 1 explains that the stub is to rows what the caption is to columns. A good stub uses short, clear labels, arranges entries in a logical order (alphabetical, chronological, or magnitude), and may include sub-stubs for further breakdown. Together with the captions at the top, the stub on the left frames the body of the table so that any cell can be uniquely identified by its row-and-column reference.
Why is a source note important in a statistical table?
A source note placed below a statistical table identifies the original source of the data — for example NSSO Round 75, RBI Annual Report 2023, or Census of India 2011 — and is essential for credibility, traceability and academic honesty. NCERT Class 11 Statistics Chapter 4 Part 1 stresses that secondary data without a source citation is unverifiable and unusable for serious analysis. The source note also lets readers find more detail, check definitions, and assess whether the data is fit for their own purpose. A footnote may follow to clarify specific cells, revisions or methodology changes.
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