Sandeep Garg Economics Class 11 Chapter 7 Solutions
FAQs on Sandeep Garg Economics Class 11 Chapter 7 Solutions
1. How can I find the correct, step-by-step solutions for the unsolved practical questions in Sandeep Garg's Class 11 Economics Chapter 7?
Vedantu provides detailed, step-by-step solutions for all the unsolved practical exercises in Sandeep Garg's Chapter 7, 'Measures of Dispersion'. These solutions are prepared by expert teachers and follow the CBSE 2025-26 guidelines to help you understand the correct method for solving problems related to Range, Standard Deviation, and other measures.
2. What is the correct method to calculate Range and its Coefficient for a continuous series as per the examples in Chapter 7?
To find the Range for a continuous series, you subtract the lower limit of the lowest class interval from the upper limit of the highest class interval. The formula is: Range (R) = L - S, where L is the upper limit of the highest class and S is the lower limit of the lowest class. The Coefficient of Range is calculated using the formula: (L - S) / (L + S).
3. How does using the Sandeep Garg solutions for Chapter 7 help in mastering the concepts of Measures of Dispersion?
Using the solutions for Chapter 7 helps you verify your own calculations and understand the precise steps required by the CBSE curriculum. It clarifies complex methods like calculating Standard Deviation using the step-deviation method or finding Mean Deviation from the median. This practice builds confidence and accuracy for your exams.
4. What is the step-by-step process for solving problems on Quartile Deviation and its coefficient for a discrete series?
To solve for Quartile Deviation (Q.D.) in a discrete series, you must follow these steps:
First, arrange the data in ascending order and calculate the cumulative frequencies (c.f.).
Calculate the first quartile (Q1) using the formula: Size of (N+1)/4th item.
Calculate the third quartile (Q3) using the formula: Size of 3(N+1)/4th item.
Find the Interquartile Range (IQR) = Q3 - Q1.
Finally, calculate Quartile Deviation as (Q3 - Q1) / 2 and the Coefficient of Q.D. as (Q3 - Q1) / (Q3 + Q1).
5. Why is Standard Deviation considered a more reliable measure of dispersion than Range or Quartile Deviation in statistical analysis?
Standard Deviation is considered more reliable because, unlike Range (which only uses the two extreme values) or Quartile Deviation (which uses the middle 50% of data), it takes every single observation in the dataset into account. This makes it a more comprehensive and stable measure of the spread of data around the mean, providing a more accurate picture of data consistency.
6. How do you solve for Standard Deviation using the 'Assumed Mean' method as explained in the Sandeep Garg solutions?
The Assumed Mean method simplifies the calculation of Standard Deviation. The steps are:
Choose an 'Assumed Mean' (A) from the data (usually the mid-value).
Calculate the deviation (d) of each value from the Assumed Mean (d = X - A).
Square these deviations (d²) and find their sum (∑fd² for a frequency distribution).
Apply the formula for Standard Deviation (σ): √[(∑fd²/N) - (∑fd/N)²]. This method reduces calculation errors with large numbers.
7. When solving problems from Chapter 7, what is the key difference between absolute and relative measures of dispersion?
The key difference is in their purpose and unit of measurement. Absolute measures (like Range, Standard Deviation) express dispersion in the same units as the original data (e.g., marks, rupees). They tell you the amount of variation. Relative measures (like the Coefficient of Variation, Coefficient of Range) are unit-free ratios used to compare the variability of two or more datasets, even if they have different units or means.
8. How can the solutions for the Lorenz Curve questions in Chapter 7 help interpret economic inequality?
The solutions demonstrate how to plot a Lorenz Curve by converting data into cumulative percentages. The curve shows the distribution of, for example, income or wealth. The farther the Lorenz Curve is from the Line of Equal Distribution (the perfect 45-degree line), the greater the inequality in the distribution. By following the solved examples, you can learn to visually interpret and compare levels of economic disparity.
9. If two cricket teams have the same average run rate, how can the methods in Chapter 7 solutions determine which team is more consistent?
To determine consistency when averages are the same, you must calculate a relative measure of dispersion like the Coefficient of Variation (CV). The formula is (Standard Deviation / Mean) × 100. The team with the lower Coefficient of Variation is considered more consistent, as their scores are less spread out from the average. The solutions in the book provide practical examples of this application.
