NCERT Solutions Ganita Prakash Chapter 4 Figure it Out — Collecting and Organising Data

Book page 75 & 76 Updated on2026-09-05

Q1.
What would you do to find the most popular game among Naresh’s and Navya’s classmates?
Answer

Turn the long list into a frequency table. Read the list once, put a tally mark against a game every time a child chooses it, and then count the tally marks.

  1. Write the different games in one column — kabaddi, hockey, cricket, satoliya (pittu), football, badminton.
  2. Go down the list name by name. For every child put one mark | against the game they named.
  3. After four marks draw the fifth across them — |||| — so the marks always come in bundles of five and are easy to count.
  4. Count the marks of each game. That count is the frequency of the game.
  5. The game with the biggest frequency is the most popular game.
GameTally marksNumber of students (frequency)
Kabaddi|||| |6
Hockey|||| |||8
Cricket|||| |6
Satoliya (Pittu)||||5
Football||||4
Badminton||2
Total31
6 + 8 + 6 + 5 + 4 + 2 = 31 students — the whole class is counted, so nobody has been left out or counted twice.
Why the table helps: the raw list has 31 names jumbled together, so the answer cannot be seen in it. The table throws away the names (which we do not need here) and keeps only the game and its count — and every child lands in exactly one row.
Q2.
What is the most popular game in their class?
Answer

Hockey is the most popular game — 8 of the 31 students chose it.

Hockey 8  >  Kabaddi 6 = Cricket 6  >  Satoliya 5  >  Football 4  >  Badminton 2
Favourite game of the class01234567898Hockey6Kabaddi6Cricket5Satoliya(Pittu)4Football2Bad-mintonGameNumber of students
The same frequency table drawn as a bar graph. The tallest bar — hockey — answers the question at a glance.
Did you notice? Navya had guessed that cricket was the most popular game, but the data says cricket was chosen by only 6 students. A guess is not data — this is exactly why Naresh and Navya went and asked everybody.
Q3.
Try to find out the most popular game among your classmates.
Answer

This is an activity for your own class. Do it exactly the way Naresh and Navya did:

  1. Frame one clear question — “Which one game do you like the most?” Every child answers with exactly one game.
  2. Collect — go to each classmate and note the answer, or let each child raise a hand when their game is called out.
  3. Organise — put a tally mark against the game each time it is named, in bundles of five.
  4. Count — write the frequency beside each game and add them up. The total must equal the number of children in your class.
  5. Conclude — the game with the largest frequency is the most popular game of your class.
GameTally marksFrequency
Cricket|||| |||| ||12
Kho-kho|||| |||8
Kabaddi|||| |6
Football||||4
Total30

In this sample class of 30 children, cricket would be the most popular game. Your own class will almost certainly give a different answer — that is the whole point of collecting data.

Check it yourself: always add the frequencies at the end. If the total is not the same as the number of students you asked, a name has been missed or counted twice.
Q4.
Pari wants to respond to the questions given below. Put a tick (✓) for the questions where she needs to carry out data collection and put a cross (✗) for the questions where she doesn’t need to collect data. Discuss your answers in the classroom. a. What is the most popular TV show among her classmates? b. When did India get independence? c. How much water is getting wasted in her locality? d. What is the capital of India?
Answer
QuestionTick / CrossWhy
a. Most popular TV show among her classmatesThe answer is different in every class, and it changes with time. Only her own classmates can tell her — so she must ask them and count.
b. When did India get independence?It is a fixed historical fact — 15 August 1947. It is already recorded in books; asking people would only give opinions, some of them wrong.
c. How much water is getting wasted in her locality?Nobody has this number ready. She must go around, look at leaking taps and pipes, measure or count them, and add up — that is data collection.
d. What is the capital of India?A fixed fact — New Delhi. One reliable source is enough.
The rule behind the answers: collect data when the answer is not already known, or when it can be different for different people, places or times. If the answer is a single settled fact, just look it up — collecting data would be a waste of effort.
Try This: Sort these into the two groups — “How many left-handed children are in my class?”, “How many days are there in a leap year?”, “Which bus route is the most crowded near my school?”, “What is the boiling point of water?” (First and third need data; the other two do not.)
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