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Revision Notes

Data And Their Representations — Revision Notes

NIOS · Class 10 · Maths

Data And Their Representations revision notes for NIOS Class 10 Maths: 4 topics in quick points. Part of the NIOS Class 10 Maths syllabus.

40 questions28 flashcards2 formulas & key relations5 concepts

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A comparison chart explaining the two meanings of 'statistics': as numerical data (plural sense) and as the scientific discipline (singular sense), with examples for each.
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Key Topics to Revise

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1. Statistics and Data Collection

  • Statistics has two meanings: plural sense means numerical data, and singular sense means the subject that studies data.
  • Data may be primary for one individual or agency but becomes secondary for others using the same data.
  • Primary data are collected directly by the investigator.
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2. Raw Data, Arrayed Data and Frequency Tables

  • Raw data is data in the form in which it is originally collected.
  • Arrayed data is raw data arranged in ascending or descending order.
  • Arraying data makes it easy to find the minimum, maximum and repeated values.
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3. Class Limits, True Class Limits and Class Mark

  • A class interval has a lower class limit and an upper class limit.
  • True class limits are adjusted boundaries that make classes continuous.
  • True class limits are found by taking half the difference between the upper limit of one class and the lower limit of the next class and adjusting the boundaries.
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4. Cumulative Frequency

  • Cumulative frequency of a class is the total of the frequency of that class and the frequencies of all classes preceding it.
  • The cumulative frequency of the last class equals the total number of observations.
  • Cumulative frequency tables help find how many observations are less than a given upper boundary.

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Full Notes

Key Concepts

Statistics has two meaningsPrimary data is collected directly bySecondary data is collected by otherRaw data is data in itsAn ungrouped frequency distribution lists each

Frequently Asked Questions

What are the important topics in Data And Their Representations for NIOS Class 10 Maths?
Key topics in Data And Their Representations include Statistics and Data Collection, Raw Data, Arrayed Data and Frequency Tables, Class Limits, True Class Limits and Class Mark, Cumulative Frequency. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Data And Their Representations for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 40 practice questions on Data And Their Representations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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