Data Handling Class 6 Worksheet — Free PDF Download with Answers

Data handling is the branch of mathematics that teaches you how to collect, organise, represent, and interpret information. In a world overflowing with data — from cricket scoreboards to election results — the ability to read a graph or draw conclusions from a table is an essential life skill.

In Class 6, students learn to organise raw data using tally marks and frequency tables, represent data visually through pictographs and bar graphs, and interpret graphs to answer questions. These are the building blocks of statistics, a subject that becomes increasingly important in Classes 8-10 and is central to careers in data science, economics, and research.

This worksheet provides 60 carefully structured questions that take students from basic tally-mark counting to interpreting double bar graphs and drawing conclusions from real-world data sets.

Review these core ideas before the worksheet:

* Data — A collection of facts or numbers gathered for analysis. Raw data is unorganised; arranged data is grouped or sorted.
* Tally marks — A counting method where every fifth mark crosses the previous four: $\text{||||} \!\!\backslash = 5$.
* Frequency — The number of times a particular value occurs in a data set.
* Frequency table — A table listing each value (or class) and its frequency.
* Pictograph — A graph that uses pictures or symbols to represent data. Each symbol represents a fixed number of items (the key).
* Bar graph — A graph using rectangular bars of equal width. The height of each bar represents the frequency or value. Bars are drawn on a uniform scale with equal gaps.
* Scale — The number each unit on the axis represents. Choosing an appropriate scale is key to a clear graph.
* Mean (average) — $\text{Mean} = \dfrac{\text{Sum of all observations}}{\text{Number of observations}}$.
* Range — $\text{Range} = \text{Maximum value} - \text{Minimum value}$.

1. Print the PDF — Download from the links below. Keep graph paper, ruler, and coloured pencils handy.

2. Start with Level 1 (Easy) — 20 questions on reading tally marks, completing frequency tables, and answering simple pictograph/bar graph questions.

3. Time yourself — 15 minutes for Level 1, 20 for Level 2, 25 for Level 3.

4. Check answers — Use the included answer key.

5. Revise mistakes — For graph-reading errors, go back to the graph and trace the answer step by step.

6. Move to the next level — Progress when you score 16/20 or above.

Level 1 — Easy

1. The following data shows marks of 10 students: $7, 5, 9, 7, 8, 5, 6, 7, 9, 8$. Make a frequency table.
Solution: $5 \to 2$, $6 \to 1$, $7 \to 3$, $8 \to 2$, $9 \to 2$.

2. A pictograph shows that one apple symbol $= 10$ apples. If a row has $3.5$ symbols, how many apples does it represent?
Solution: $3.5 \times 10 = 35$ apples.

3. In a bar graph, the bar for "Cricket" reaches $45$ on the y-axis. What does this tell you?
Solution: $45$ students (or people) chose Cricket, depending on what the graph represents.

Level 2 — Medium

1. The runs scored by a batsman in 6 innings are $34, 56, 28, 71, 45, 62$. Find the mean and range.
Solution: Mean $= \dfrac{34+56+28+71+45+62}{6} = \dfrac{296}{6} \approx 49.3$. Range $= 71 - 28 = 43$.

2. Draw a bar graph for the following data: Maths $= 40$, Science $= 35$, English $= 30$, Hindi $= 25$. Use a scale of $1$ unit $= 5$ marks.
Solution: Bars of height $8, 7, 6, 5$ units respectively on graph paper.

3. From a pictograph where one symbol $= 20$ books, Library A shows $4$ symbols and Library B shows $6.5$ symbols. How many more books does Library B have?
Solution: A $= 80$, B $= 130$. Difference $= 50$ books.

Level 3 — Hard

1. The mean of $5$ numbers is $24$. Four of them are $18, 26, 30, 22$. Find the fifth number.
Solution: Sum $= 5 \times 24 = 120$. Known sum $= 18 + 26 + 30 + 22 = 96$. Fifth $= 120 - 96 = 24$.

2. A double bar graph compares test scores of Class 6A and 6B across 4 subjects. If 6A scored $42, 38, 45, 50$ and 6B scored $39, 44, 40, 48$, in how many subjects did 6A outperform 6B?
Solution: Compare: $42 > 39$ (yes), $38 < 44$ (no), $45 > 40$ (yes), $50 > 48$ (yes). 6A outperformed in $3$ subjects.

3. The mean of $8$ observations is $15$. If each observation is increased by $3$, what is the new mean?
Solution: New mean $= 15 + 3 = 18$.

CBSE (NCERT — Ganita Prakash / Math Magic)
The "Data Handling" chapter covers tally marks, frequency tables, pictographs, and bar graphs. CBSE emphasises interpreting data from everyday contexts (sports, weather, school surveys). The Ganita Prakash edition adds exploration through student-collected data.

ICSE (Selina / ML Aggarwal)
ICSE also titles this chapter "Data Handling" and covers similar ground but includes more numerical problems involving mean and range at the Class 6 level. ICSE exams often present data in tabular form and ask students to draw graphs, testing both construction and interpretation.

IB MYP (Mathematics Framework)
The MYP "Data Collection & Display" unit goes beyond drawing graphs. Students design their own data collection methods, choose appropriate representations, and critically evaluate whether a graph is misleading. The focus is on inquiry and real-world application.

Key Differences:
* CBSE: Activity-based; real-life data contexts.
* ICSE: More numerical questions; mean and range tested.
* IB: Inquiry-driven; students critique and design graphs.

Download your free Data Handling worksheets:

* Data Handling CBSE Worksheet — 60 questions aligned to NCERT
* Data Handling ICSE Worksheet — 60 questions aligned to Selina / ML Aggarwal

Practise online:

* Practice Online — CBSE
* Practice Online — ICSE
* Practice Online — IB

Each worksheet has 20 questions per level with a detailed answer key.

* AI Maths Solver — Upload a graph question and get a step-by-step interpretation.
* Spark Coach — AI tutor that guides you through data problems with hints.
* Free Worksheets for All Classes — Browse worksheets from Class 1 to 10.
* Play Mode for Class 1-4 — Game-based data activities for younger learners.

Explore more Class 6 worksheets:

* Numbers & Place Value Class 6 Worksheet
* Fractions & Decimals Class 6 Worksheet
* Ratio and Proportion Class 6 Worksheet
* Perimeter and Area Class 6 Worksheet
* Patterns in Mathematics Class 6 Worksheet