To figure out the most popular game in their class, what should Navya and Naresh do? Can you help them?

Question

Homi · Accepted Answer

Understand the Question

To find the most popular game, Navya and Naresh need to perform three basic steps of data handling:
1. Data Collection: Ask every classmate for their favourite game and record the responses.
2. Data Organisation: Group the responses using a frequency table with tally marks.
3. Data Interpretation: Identify the game with the highest total frequency.

Step 1 · Collect Data

Ask every student in the class their favourite game and record their individual responses as raw data. Diagram 1

\begin{aligned} \text{Action} &= \text{Ask each student} \\ &= \text{Write down their answer} \end{aligned}

Step 2 · Organise Data Using a Tally Chart

Prepare a table listing all the games mentioned. Record a tally mark for each student's choice, grouping in sets of $5$ (represented as $\cancel{||||}$ ), and calculate the total count for each game.

\begin{aligned} \text{Action} &= \text{Create a table} \\ &= \text{Use tally marks for each game} \\ &= \text{Count the total for each game} \end{aligned}

Step 3 · Identify the Most Popular Game

Compare the total counts (frequencies) obtained for each game. The game with the highest total count is the most popular.

\begin{aligned} \text{Action} &= \text{Compare total counts} \\ &= \text{Find the largest count} \end{aligned}

Answer

Collect data by asking every student their favourite game.

Organise data in a table using tally marks to find the total count for each game.
Identify the winner: The game with the highest count is the most popular.

Common Mistakes

Double Counting or Omitting: Not keeping track of who has answered, leading to duplicate entries or missed students.
Tally Grouping Errors: Incorrectly counting tallies by forgetting that the fifth mark crosses through four vertical marks to form a group of $5$ .

Question 1

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