Data Handling Class 7 Worksheet — Free PDF Download with Answers

Data handling is the one chapter where students often feel they can breeze through — after all, how hard can it be to find an average? The trouble is, exam questions dress up simple averages in messy real world data sets. Reading a frequency table, calculating mean from grouped data, or answering questions about a bar graph takes careful attention that is hard to learn on a small screen.

One parent recently shared that her daughter always got full marks on her school app but dropped five marks on her monthly test because she had to draw a bar graph by hand. The scale was wrong, the bars were uneven, and the labels were missing. None of those problems had ever come up on the app, which drew the graph for her automatically.

Worksheets teach students to draw graphs by hand. That skill is essential for Class 7 exams, where data handling questions ask students to present information in a graph or chart. Paper practice also makes students choose their own scale, which is something apps never do for them.

There is also the matter of reading data. Worksheets print tables and graphs in exam format, with the exact kind of distractors students will see in the board paper. Practising on these builds familiarity. When a similar question appears in the real exam, students recognise it instantly.

Finally, the quiet nature of paper work encourages thoughtful reading. Data handling questions reward careful readers. A worksheet session at a clean desk gives students the space to actually think about what each number in the table means.

The worksheet covers every sub topic from the Class 7 Data Handling chapter.

Sub topics:

* Collecting and organising data
* Frequency tables
* Bar graphs (horizontal and vertical)
* Double bar graphs
* Mean, median and mode
* Range of data
* Basic probability using coin tosses and dice

Level breakdown:

60 questions in total with a complete answer key.

Brush up these ideas first.

* Mean — Sum of all observations divided by the number of observations. $\text{Mean} = \dfrac{\text{Sum}}{n}$.
* Median — The middle value when data is arranged in order. If $n$ is odd, it is the middle value. If $n$ is even, it is the average of the two middle values.
* Mode — The observation that occurs most often.
* Range — The difference between the highest and the lowest observation.
* Frequency — The number of times a particular value occurs in the data.
* Bar graph — A way of showing data using rectangles of equal width.
* Probability — $P(\text{event}) = \dfrac{\text{Favourable outcomes}}{\text{Total outcomes}}$.

Quick tip: Always arrange data in ascending order before finding the median. Many errors come from finding the middle of an unordered list.

Level 1 — Easy

1. Find the mean of $5, 8, 12, 7, 8$.
Solution: Sum $= 40$. Mean $= 40 \div 5 = 8$.

2. Find the mode of $3, 5, 3, 7, 3, 8$.
Solution: $3$ occurs three times, more than any other number. Mode is $3$.

3. Find the range of $12, 15, 8, 20, 10$.
Solution: Range $= 20 - 8 = 12$.

Level 2 — Medium

1. Find the median of $7, 12, 3, 9, 15, 4, 10$.
Solution: Arrange in order: $3, 4, 7, 9, 10, 12, 15$. There are $7$ values. Median is the $4$th value, which is $9$.

2. A coin is tossed. What is the probability of getting a head?
Solution: Favourable outcomes $= 1$ (head). Total outcomes $= 2$. $P(\text{head}) = \dfrac{1}{2}$.

3. A bar graph shows daily sales of a shop for five days: 20, 35, 30, 25, 40 items. Find the mean daily sales.
Solution: Sum $= 150$. Mean $= 150 \div 5 = 30$ items.

Level 3 — Hard

1. The marks of $10$ students are $45, 50, 38, 60, 72, 50, 65, 42, 50, 58$. Find the mean, median and mode.
Solution: Sum $= 530$. Mean $= 53$. Arranged: $38, 42, 45, 50, 50, 50, 58, 60, 65, 72$. Median is the average of the $5$th and $6$th values: $\dfrac{50 + 50}{2} = 50$. Mode is $50$.

2. A die is rolled. What is the probability of getting a number greater than $4$?
Solution: Favourable outcomes are $5, 6$, so $2$ outcomes. Total $= 6$. Probability $= \dfrac{2}{6} = \dfrac{1}{3}$.

3. In a survey of $40$ families, the number of children per family was recorded: $0$ in $5$ families, $1$ in $10$ families, $2$ in $15$ families, $3$ in $8$ families, $4$ in $2$ families. Find the mean number of children per family.
Solution: Sum $= (0 \times 5) + (1 \times 10) + (2 \times 15) + (3 \times 8) + (4 \times 2) = 0 + 10 + 30 + 24 + 8 = 72$. Mean $= 72 \div 40 = 1.8$ children.

1. Print — Use A4 paper and a ruler for drawing graphs.
2. Warm up — Practise arranging five random numbers in ascending order.
3. Time yourself — 20 minutes for Level 1, 30 for Level 2, 40 for Level 3.
4. Check answers — Use the answer key.
5. Revise mistakes — For every wrong answer, redo with full working.
6. Try again — Retry wrong questions next day.

Daily plan: 25 minutes per day for two weeks.

Weekly revision: Each weekend, collect real data from home (like daily temperatures from the newspaper) and calculate mean, median and mode.

1. Forgetting to arrange data — Finding the median of unsorted data is the most common error. Always sort first.

2. Counting errors in mode — Students miscount the frequency and pick the wrong mode. A quick tally helps.

3. **Dividing by wrong $n$** — For grouped data, $n$ is the total frequency, not the number of classes.

4. Graph scale mistakes — Starting the scale from a random number instead of zero, or using unequal intervals.

5. Probability fraction not simplified — Leaving answers like $\dfrac{2}{6}$ instead of $\dfrac{1}{3}$.

6. Missing labels on graphs — Forgetting the x axis title, y axis title or the chart title. These count for marks.

CBSE (NCERT)
Data Handling is Chapter 3 of NCERT Class 7 maths. Weightage is around 10 marks. Questions include mean, median, mode and bar graphs.

ICSE (Selina / ML Aggarwal)
ICSE covers data handling with similar depth but includes more frequency table questions. Weightage is around 10 to 12 marks.

IB MYP
IB MYP calls this topic Statistics and Probability. Students collect their own data, represent it in multiple forms and write reports on what the data shows.

Download your free Class 7 Data Handling worksheet:

* Data Handling CBSE Worksheet
* Data Handling ICSE Worksheet
* Statistics IB Worksheet

Online practice:

* Data Handling Online — CBSE
* Data Handling Online — ICSE

* AI Maths Solver — Upload any statistics problem for a step by step solution.
* Spark Coach — Guided AI tutor.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Mean, median, mode

* Day 1: Revise definitions from Class 6 and make a flash card.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 questions 1 to 10 (mean, median).
* Day 5: Level 2 questions 11 to 20 (graphs, probability).
* Day 6: Redo wrong answers.
* Day 7: Rest.

Week 2: Graphs and probability

* Day 8: Level 3 bar graph questions.
* Day 9: Level 3 grouped data questions.
* Day 10: Level 3 probability questions.
* Day 11: Collect real data and represent it.
* Day 12: Mixed quiz.
* Day 13: Mock test (45 minutes).
* Day 14: Review.

* Class 7 Comparing Quantities Worksheet
* Class 7 Fractions and Decimals Worksheet
* Class 7 Percentage, Profit and Loss Worksheet
* Class 7 Simple Interest Worksheet
* Class 7 Maths Complete Guide