EXERCISES - 2.10 | 2. Collection of Data | CBSE 11 Statistics for Economics
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EXERCISES

2.10 - EXERCISES

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Interactive Audio Lesson

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Framing Questions for Surveys

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Teacher
Teacher Instructor

Let's start with framing multiple-choice questions. Does anyone know what a multiple-choice question is?

Student 1
Student 1

It's a question where you choose an answer from several options.

Teacher
Teacher Instructor

Exactly! Now, when framing questions, it's important to make sure options are clear. For example, can someone give me an example of a question?

Student 2
Student 2

How often do you use computers?

Teacher
Teacher Instructor

Good! Now, how would you frame the options for that question?

Student 3
Student 3

We could say: Daily, Weekly, Monthly, or Never.

Teacher
Teacher Instructor

Perfect! Use the acronym CAAP: Clear, Accurate, Appropriate, and Precise for crafting your questions.

Student 4
Student 4

Can you give us an example of a poor question?

Teacher
Teacher Instructor

Sure! A poor question would be: 'How much time do you waste on computers every day?' The word 'waste' is judgmental. What would be a more neutral way to ask?

Student 1
Student 1

How much time do you spend on computers daily?

Teacher
Teacher Instructor

Exactly! Remember to avoid bias!

True or False Statements

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Teacher
Teacher Instructor

Now let’s discuss some statements about data collection. Are we ready?

Student 2
Student 2

Yes! What’s the first statement?

Teacher
Teacher Instructor

Statement one: 'Data collected by investigators is called secondary data.' True or False?

Student 3
Student 3

That’s false, right? It should be called primary data.

Teacher
Teacher Instructor

Correct! Remember, primary data is collected firsthand. How about the next statement: 'Telephone surveys are suitable for literate populations.'?

Student 4
Student 4

That sounds true!

Teacher
Teacher Instructor

Yes, it is! Always consider your audience when selecting a method.

Student 1
Student 1

It seems easy to mislabel data types!

Teacher
Teacher Instructor

It can be! That's why understanding them is key to data collection.

Understanding Bias and Survey Design

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Teacher
Teacher Instructor

In this session, we are going to talk about biases in survey questions. Why is this important?

Student 1
Student 1

Bias can skew our data!

Teacher
Teacher Instructor

Exactly! Poorly worded questions can lead to non-response errors or influence responses. For example, how about this question: 'Don’t you think smoking should be banned?' Why is it problematic?

Student 2
Student 2

It hints that you should agree!

Teacher
Teacher Instructor

Correct! It’s leading. What’s a better way to ask this question?

Student 3
Student 3

Do you think smoking should be banned?

Teacher
Teacher Instructor

Yes! It’s neutral. Remember, we want to gather honest feedback!

Introduction & Overview

Read summaries of the section's main ideas at different levels of detail.

Quick Overview

This section engages students with exercises that deepen Their understanding of data collection techniques.

Standard

The exercises section presents a variety of tasks, including framing questions and evaluating survey designs. It challenges students to think critically about data collection methods and phrasing while ensuring they grasp essential concepts.

Detailed

Detailed Summary

The 'EXERCISES' section encourages students to apply their understanding of data collection methods through various exercises. These exercises range from framing multiple-choice questions about data collection to evaluating true or false statements regarding data sources and survey methods. By engaging with these exercises, students not only reinforce their knowledge of primary and secondary data types but also learn about survey design intricacies. The tasks emphasize the importance of well-phrased questions and the understanding of sampling and non-sampling errors in statistical data gathering. The exercises ultimately prepare students for practical data collection scenarios in real-world situations.

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Audio Book

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Multiple Choice Questions

Chapter 1 of 14

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Chapter Content

  1. Frame at least four appropriate multiple-choice options for following questions:
    (i) Which of the following is the most important when you buy a new dress?
    (ii) How often do you use computers?
    (iii) Which of the newspapers do you read regularly?
    (iv) Rise in the price of petrol is justified.
    (v) What is the monthly income of your family?

Detailed Explanation

This chunk asks students to create multiple-choice questions with options, encouraging them to think critically about question design. Each question listed requires options relevant to the context, enhancing their understanding of survey techniques.

Examples & Analogies

Imagine you're conducting a survey at a mall. You want to know about shoppers' preferences. By framing thoughtful multiple-choice options, you can gather useful insights to tailor products they might want.

Two-Way Questions

Chapter 2 of 14

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Chapter Content

  1. Frame five two-way questions (with ‘Yes’ or ‘No’).

Detailed Explanation

This chunk focuses on creating two-way questions, which require respondents to answer with 'Yes' or 'No'. This type of questioning is straightforward and helps simplify data collection and analysis.

Examples & Analogies

Think of a health survey where you ask, 'Do you regularly exercise?'. A simple 'Yes' or 'No' answer makes it easy to tally responses and analyze public health trends.

True or False Statements

Chapter 3 of 14

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Chapter Content

  1. State whether the following statements are True or False.
    (i) There are many sources of data.
    (ii) Telephone survey is the most suitable method of collecting data, when the population is literate and spread over a large area.
    (iii) Data collected by investigator is called the secondary data.
    (iv) There is a certain bias involved in the non-random selection of samples.
    (v) Non-sampling errors can be minimised by taking large samples.

Detailed Explanation

Students are tasked with evaluating statements as true or false. This activity sharpens critical thinking and reinforces understanding of data collection concepts, distinguishing primary from secondary data and understanding biases.

Examples & Analogies

Consider a quiz game where you decide if statements about trivia are right or wrong. This not only tests your knowledge but also reinforces what you've learned, similar to evaluating the truthfulness of data collection claims.

Evaluating Questions

Chapter 4 of 14

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Chapter Content

  1. What do you think about the following questions? Do you find any problem with these questions? Describe.
    (i) How far do you live from the closest market?
    (ii) If plastic bags are only 5 percent of our garbage, should it be banned?
    (iii) Wouldn’t you be opposed to increase in price of petrol?
    (iv) Do you agree with the use of chemical fertilisers?
    (v) Do you use fertilisers in your fields?
    (vi) What is the yield per hectare in your field?

Detailed Explanation

This exercise asks students to critically analyze questions for potential bias, ambiguity, or leading language. This promotes skills in crafting unbiased survey questions that yield reliable responses.

Examples & Analogies

Think of a cooking recipe that has unclear measurements. Just as a vague recipe leads to poor cooking results, surveys with biased questions can lead to misleading data. Clear questioning helps ensure accurate information.

Designing a Questionnaire

Chapter 5 of 14

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  1. You want to do a research on the popularity of Vegetable Atta Noodles among children. Design a suitable questionnaire for collecting this information.

Detailed Explanation

In this chunk, students are tasked with designing a questionnaire targeting a specific demographic (children) based on their preferences. This emphasizes the importance of adapting data collection tools to a specific audience.

Examples & Analogies

Imagine creating a recipe book for kids – you would use fun language and illustrations to engage them, just like you would design a questionnaire about noodles that appeals to children's tastes and interests.

Understanding Population and Sample

Chapter 6 of 14

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  1. In a village of 200 farms, a study was conducted to find the cropping pattern. Out of the 50 farms surveyed, 50% grew only wheat. What is the population and the sample size?

Detailed Explanation

This question requires students to identify the population (the total number of farms) and the sample size (farms surveyed) in a research context. Understanding these concepts is crucial for conducting effective research.

Examples & Analogies

Think of a school with many students; if you wanted to find out what subjects are liked best, you wouldn't ask every student. Instead, you would ask a representative group, helping you gauge opinions without needing to ask everyone.

Examples of Sample and Population

Chapter 7 of 14

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  1. Give two examples each of sample, population and variable.

Detailed Explanation

This chunk prompts students to demonstrate their understanding of the key terms by providing examples. This solidifies their grasp on defining and distinguishing between these concepts.

Examples & Analogies

Consider a bakery aiming to identify customer preferences. The 'population' would be all bakery customers, the 'sample' could be 20 customers surveyed, and 'variables' might include favorite flavors or amount spent.

Comparing Census and Sampling

Chapter 8 of 14

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Chapter Content

  1. Which of the following methods give better results and why? (a) Census (b) Sample.

Detailed Explanation

Students are encouraged to think critically about the effectiveness of different data collection methods. This discussion can lead to deeper insights into the trade-offs between comprehensiveness and efficiency.

Examples & Analogies

Imagine wanting to know the temperature of every ocean in the world. While a census (checking each one) is thorough, a sample (taking a few readings) can provide a quick estimate with much less effort.

Understanding Errors in Data Collection

Chapter 9 of 14

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  1. Which of the following errors is more serious and why? (a) Sampling error (b) Non-Sampling error.

Detailed Explanation

This question asks students to evaluate the severity of different types of errors encountered in statistics. Understanding these errors is essential for ensuring the reliability of research results.

Examples & Analogies

Think about a school project where some facts were entirely made up (non-sampling errors) versus a few incorrect facts (sampling errors). The made-up facts mislead entirely, just like non-sampling errors misstate the true situation.

Choosing Samples of Students

Chapter 10 of 14

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  1. Suppose there are 10 students in your class. You want to select three out of them. How many samples are possible?

Detailed Explanation

In this exercise, students calculate combinations, allowing them to understand how to derive a sample from a larger group, an essential skill in data analysis.

Examples & Analogies

Imagine you're picking sports teams. With a pool of players, the various ways to choose your team represent sampling, similar to how researchers select samples for studies.

Using Lottery Method for Sampling

Chapter 11 of 14

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Chapter Content

  1. Discuss how you would use the lottery method to select 3 students out of 10 in your class.

Detailed Explanation

This chunk explains the lottery method for selecting a sample, illustrating a practical and random approach to sampling without bias.

Examples & Analogies

Think of drawing names from a hat during school; everyone gets an equal chance to be chosen, which is fair and eliminates bias – the essence of the lottery sampling method.

Random Sample Methodology

Chapter 12 of 14

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  1. Does the lottery method always give you a random sample? Explain.

Detailed Explanation

Students discuss the effectiveness of the lottery method and its ability to produce unbiased samples, which is crucial for generalizing results.

Examples & Analogies

Consider a game show where every contestant has a ticket in a hat. While randomly drawn, if some tickets were removed by the host, it wouldn't be fair. This highlights the importance of true random selection.

Selecting Random Samples

Chapter 13 of 14

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  1. Explain the procedure for selecting a random sample of 3 students out of 10 in your class by using random number tables.

Detailed Explanation

This chunk introduces students to using random number tables for sampling, showcasing a systematic approach to achieving randomness.

Examples & Analogies

Picture planning a surprise party and wanting to randomly select guests. Using a random number chart helps you ensure everyone chosen has an equal chance, making the selection fair.

Sample Versus Surveys

Chapter 14 of 14

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  1. Do samples provide better results than surveys? Give reasons for your answer.

Detailed Explanation

In this exercise, students weigh the benefits and drawbacks of using samples versus conducting full surveys. This encourages critical thinking about efficiency in data collection.

Examples & Analogies

Imagine a chef sampling a new dish beforehand versus asking every diner’s opinion. While sampling might miss some feedback, it provides quicker insights and refinement before serving everyone.

Key Concepts

  • Primary Data: Firsthand collected information for a specific purpose.

  • Secondary Data: Previously collected data used for new analysis.

  • Survey Design: Crafting questions for accuracy and neutrality.

  • Bias: A tendency impacting data interpretation negatively.

  • Sampling Errors: Mistakes occurring due to data sample selection.

Examples & Applications

An example of primary data would be conducting a survey to find out customer satisfaction in a restaurant.

An example of secondary data is using government statistics on population demographics for a research project.

Memory Aids

Interactive tools to help you remember key concepts

🎵

Rhymes

When you ask, make it clear, avoid terms that may appear dear.

📖

Stories

Imagine a survey at a school where one student asked: 'Don't you love this new cafeteria food?' This led to skewed results. Instead, if they asked, 'How do you feel about the cafeteria food?' that would gather more honest feedback.

🧠

Memory Tools

Remember the acronym C.A.S.E: Clear, Accurate, Specific, English for good questioning.

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Acronyms

B.A.S.E.

Bias Avoidance in Survey Execution.

Flash Cards

Glossary

Primary Data

Data collected firsthand for a specific purpose.

Secondary Data

Data that has been previously collected and processed by others.

Bias

A tendency to favor one outcome over others, affecting data accuracy.

MultipleChoice Question

A question that provides several answer options for the respondent to choose from.

True or False

A type of question that allows respondents to determine the accuracy of a statement.

Reference links

Supplementary resources to enhance your learning experience.