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Economics · Class 12 Commerce

Ch 21Measures of Dispersion — Class 12 Economics, concept-first.

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Range: Meaning, Calculation, Merits and Demerits

Range, the simplest measure of statistical dispersion, is defined as the difference between the highest and the lowest value in a data series (Range = Maximum − Minimum); when every value in a series is identical, the ra…

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Questions & Answers

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+Sample & Board questionsi25 questions
  1. Q1Define range as a measure of dispersion. **Or** Mention any two advantages of standard deviation.Preview
  2. Q2Explain, with the help of a diagram, the properties of Lorenz curve. **Or** The number of members of six families are respectively: 10, 9, 1…Preview
  3. Q3Determine the range of the following set of values: 228, 145, 315, 113 and 298.Preview
  4. Q4Fill in the blank: If the inequality of income is ___, the Lorenz curve coincides with the line of perfect equality. **Or** Fill in the blan…Preview
  5. Q5Mention any two disadvantages of range as a measure of dispersion.Preview
  6. Q6The weights of six persons (in Kg) are respectively, 64, 60, 60, 64, 60 and 64. Find the standard deviation of weights.Preview
  7. Q7If the given values of a variable are all equal to 2, then its standard deviation is (a) negative (b) zero (c) positive (d) 2.Preview
  8. Q8Write true or false: The difference between the maximum and minimum values of a variable is called range. **Or** Write true or false: If 10…Preview
  9. Q9Fill in the blank: Greater is the value of the Gini coefficient, ___ will be the magnitude of inequality in income distribution. **Or** Fill…Preview
  10. Q10Mention two disadvantages of range as a measure of dispersion.Preview
  11. Q11Show that the standard deviation of the set of five observations 5, 6, 7, 8, 9 is √2. **Or** Discuss the advantages of standard deviation as…Preview
  12. Q12The difference between the maximum and minimum values of a set of observations is called— (a) Range (b) Lorenz Ratio (c) Variance (d) Standa…Preview
  13. Q13Fill in the blank: The minimum value of standard deviation is ___. **Or** Fill in the blank: The value of range computed from a given set of…Preview
  14. Q14If all the given values of a series are equal to 5, then its range will be— (a) negative (b) zero (c) positive (d) 5.Preview
  15. Q15Fill in the blank: The difference between the highest and the lowest value of a series is called ___.Preview
  16. Q16Mention any two advantages of range as a measure of dispersion.Preview
  17. Q17The difference between the highest and lowest value of a series is called— (a) spread (b) range (c) variance (d) Lorenz ratio.Preview
  18. Q18Fill in the blank: Variance is the ___ of the range. **Or** Fill in the blank: The maximum value of the Lorenz ratio is ___.Preview
  19. Q19Write true or false: The value of the range of a series does not depend on all the values of that series.Preview
  20. Q20Mention one advantage and one disadvantage of range as a measure of dispersion.Preview
  21. Q21Find the range of the following values: 13, 21, 25, 29 and 37. **Or** Define the Lorenz ratio. Under what condition is the value of this rat…Preview
  22. Q22Standard deviation is always— (A) positive (B) negative (C) zero (D) none of these.Preview
  23. Q23Determine the range of the following values: 24, 13, 49, 52, 70, 8.Preview
  24. Q24Write true or false: The value of standard deviation depends on all the values of the variable. **Or** Write true or false: If each value of…Preview
  25. Q25Find the standard deviation of the following data: | X | 5 | 15 | 25 | 35 | | --- | --- | --- | --- | --- | | Frequency | 1 | 3 | 5 | 1 | **…Preview