Figure it Out
1. What would you do to find the most popular game among Naresh's and Navya's classmates?
| Mehnoor – Kabaddi | Pushkal – Satoliya (Pittu) | Ananya – Kabaddi |
| Jubimon – Hockey | Densy – Badminton | Jivisha – Satoliya (Pittu) |
| Simran – Kabaddi | Jivika – Satoliya (Pittu) | Rajesh – Football |
| Nand – Satoliya (Pittu) | Leela – Hockey | Thara – Football |
| Ankita – Kabaddi | Afshan – Hockey | Soumya – Cricket |
| Imon – Hockey | Keerat – Cricket | Navjot – Hockey |
| Yuvraj – Cricket | Gurpreet – Hockey | Hemal – Satoliya (Pittu) |
| Rehana – Hockey | Arsh – Kabaddi | Debabrata – Football |
| Aarna – Badminton | Bhavya – Cricket | Ananya – Hockey |
| Kompal – Football | Sarah – Kabaddi | Hardik – Cricket |
| Tahira – Cricket |
Answer:
To find the most popular game, we need to organize the unstructured data provided in the previous table. We would list each unique game and use tally marks or a frequency table to count how many students chose each sport. The game with the highest total count will be the most popular one.
2. What is the most popular game in their class?
Answer: 
Hockey is the most popular game in their class because it has the highest number of students (8 students) choosing it.
3. Try to find out the most popular game among your classmates.
- Answer: This is a hands-on classroom activity. You can complete this by doing the following steps:
- Ask each classmate to name their single favorite sport.
- Record their responses in a list format.
- Create a tally chart to find out which game is the favorite among the majority of your peers.
4. Pari wants to respond to the questions given below. Put a tick \(\checkmark\) for the questions where she needs to carry out data collection and put a cross \(\times\) for the questions where she doesn't need to collect data.
Rule: If a question requires asking people, surveying a group, or observing a scenario firsthand, it needs data collection \(\checkmark\). If the answer is a fixed historical, scientific, or factual piece of general knowledge, it does not need data collection \(\times\).
a. What is the most popular TV show among her classmates?👉 \(\checkmark\) (Requires a survey to gather personal choices from classmates).
b. When did India get independence?
👉 \(\times\) (This is an established historical fact—August 15, 147—and requires no data gathering).
c. How much water is getting wasted in her locality?
👉 \(\checkmark\) (Requires field observation, inspection, and recording of data within the locality).
d. What is the capital of India?
👉 \(\times\) (This is a static geographical fact—New Delhi)
Shri Nilesh is a teacher. He decided to bring sweets to the class to celebrate the new year. The sweets shop nearby has jalebi, gulab jamun, gujiya, barfi, and rasgulla. He wanted to know the choices of the children. He wrote the names of the sweets on the board and asked each child to tell him their preference. He put a tally mark '\(\vert{}\)' for each student and when the count reached 5, he put a line through the previous four and marked it as \(\cancel{\vert{}\vert{}\vert{}\vert{}}\).
Data Table
| Sweets | Tally Marks | No. of Students |
|---|---|---|
| Jalebi | \( \cancel{\vert{}\vert{}\vert{}\vert{}}\) \(\vert{}\) | 6 |
| Gulab jamun | \(\cancel{\vert{}\vert{}\vert{}\vert{}}\) \(\vert{}\vert{}\vert{}\vert{}\) | 9 |
| Gujiya | \(\cancel{\vert{}\vert{}\vert{}\vert{}}\) \(\cancel{\vert{}\vert{}\vert{}\vert{}}\) \(\vert{}\vert{}\vert{}\) | 13 |
| Barfi | \(\vert{}\vert{}\vert{}\vert{}\) | 4 |
| Rasgulla | \(\cancel{\vert{}\vert{}\vert{}\vert{}}\) \(\vert{}\vert{}\) | 7 |
Questions and Answers
Figure it Out
1. Complete the table to help Shri Nilesh to purchase the correct numbers of sweets:
- a. How many students chose jalebi?
- Answer: 6 students
- b. Barfi was chosen by _______ students?
- Answer: 4 students
- c. How many students chose gujiya?
- Answer: 13 students
- d. Rasgulla was chosen by _______ students?
- Answer: 7 students
- e. How many students chose gulab jamun?
- Answer: 9 students
Sushri Sandhya asked her students about the sizes of the shoes they wear. She noted the data on the board.
| 4 | 5 | 3 | 4 | 3 | 4 | 5 | 4 |
| 5 | 5 | 4 | 5 | 6 | 4 | 3 | 6 |
| 4 | 6 | 4 | 7 | 5 | 6 | 4 | 5 |
She then arranged the shoe sizes of the students in ascending order—
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
Questions and Answers
Figure it Out
1. Help her to figure out the following:a. The largest shoe size in the class is _______.
Answer: 7
Answer: 7
b. The smallest shoe size in the class is _______.
Answer: 3
Answer: 3
c. There are _______ students who wear shoe size 5.
Answer: 8 students
Answer: 8 students
d. There are _______ students who wear shoe sizes larger than 4.
Answer: 13 students (Note: 8 students wear size 5, 4 students wear size 6, and 1 student wears size 7 → 8 + 4 + 1 = 13)
2. How did arranging the data in ascending order help to answer these questions?
Answer: It groups identical numbers together, making it much faster to count frequencies, while clearly highlighting the lowest value at the start and the highest value at the end.
3. Are there other ways to arrange the data?
Answer: Yes, the data can be arranged in descending order (from largest to smallest) or organized into a structured frequency table using tally marks.
Questions and Answers:
4.Write the names of a few trees you see around you. When you observe a tree on the way from your home to school (or while walking from one place to another place), record the data and fill in the following table:
(Note: Since this is an observational activity, a realistic example dataset has been used below to fill the table and answer the questions).
Data Table (Example Record)
| Tree | No. of Trees |
|---|---|
| Peepal | 4 |
| Neem | 9 |
| Mango | 9 |
| Banyan | 2 |
Questions and Answers:
a. Which tree was found in the greatest number?
Answer: Neem and Mango (with 9 trees each).
Answer: Neem and Mango (with 9 trees each).
b. Which tree was found in the smallest number?
Answer: Banyan (with only 2 trees).
Answer: Banyan (with only 2 trees).
c. Were there any two trees found in the same numbers?
Answer: Yes, Neem and Mango were both found in the same quantity (9 each).
Answer: e
f. If you do this task with another news item, what process would you follow?
Answer: I would use the color-highlighting method because marking all instances of 'e' first, then 'i', makes it much less likely to skip a letter by accident.
Answer: Yes, Neem and Mango were both found in the same quantity (9 each).
5.Take a blank piece of paper and paste any small news item from a newspaper. Each student may use a different article. Now, prepare a table on the piece of paper as given below. Count the number of each of the letters 'c', 'e', 'i', 'r', and 'x' in the words of the news article, and fill in the table.
(Note: Since this is an activity based on an individual news article, a realistic sample dataset based on standard English letter frequencies has been used below to complete the task).
Data Table (Example Record)
| Letter | c | e | i | r | x | Any other letter of your choice (e.g., 'a') |
|---|---|---|---|---|---|---|
| Number of times found in the news item | 6 | 22 | 15 | 12 | 1 | 18 |
Questions and Answers
a. The letter found the most number of times is _______.Answer: e
b. The letter found the least number of times is _______.
Answer: x
Answer: x
c. List the five letters 'c', 'e', 'i', 'r', 'x' in ascending order of frequency. Now, compare the order of your list with that of your classmates. Is your order the same or nearly the same as theirs? (Almost everyone is likely to get the order 'x, c, r, i, e'.) Why do you think this is the case?
Ascending Order List: x, c, r, i, e
Answer: Yes, the order is nearly identical to my classmates. This happens because English vocabulary naturally uses certain letters far more frequently than others. Letters like 'e' and 'i' are incredibly common in standard words and vowels, while 'x' is rarely used.
Ascending Order List: x, c, r, i, e
Answer: Yes, the order is nearly identical to my classmates. This happens because English vocabulary naturally uses certain letters far more frequently than others. Letters like 'e' and 'i' are incredibly common in standard words and vowels, while 'x' is rarely used.
d. Write the process you followed to complete this task.
Answer: First, I selected a short paragraph from a newspaper. Then, I went through the text line by line, scanning for each target letter one by one, and marked a tally for every occurrence before counting up the final totals.
Answer: First, I selected a short paragraph from a newspaper. Then, I went through the text line by line, scanning for each target letter one by one, and marked a tally for every occurrence before counting up the final totals.
e. Discuss with your friends the processes they followed.
Answer: Some friends counted letter by letter from left to right for the whole paragraph, while others highlighted each specific letter with different colored markers before counting them up.
Answer: Some friends counted letter by letter from left to right for the whole paragraph, while others highlighted each specific letter with different colored markers before counting them up.
f. If you do this task with another news item, what process would you follow?
Answer: I would use the color-highlighting method because marking all instances of 'e' first, then 'i', makes it much less likely to skip a letter by accident.
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