Class 10 Statistics Case Study Questions

Class 10 Statistics Case Study Questions | CBSE & NCERT Solved Problems

Understanding Class 10 Statistics through Case Studies

Statistics is an important topic in Class 10 Mathematics, and many exam papers now include Math Case Study Questions Class 10 Statistics. These questions test analytical ability and interpretation skills. By solving Case Study Questions on Statistics Class 10, students can practice real-world applications of mean, mode, and median effectively. Moreover, Cbse Statistics Case Study Questions are often framed around practical data sets, which makes them more engaging and relatable for learners.

Practice with NCERT and CBSE Case Study Questions

The Ncert Case Study Questions Class 10 Maths provide a foundation for understanding concepts systematically. These problems not only help students with school exams but also enhance logical reasoning. Furthermore, Class 10 Maths Case Study Problems are excellent for revising chapter concepts while focusing on exam-oriented preparation. Students should practice regularly to build speed and accuracy in solving such problems.

Importance of Solved Case Study Questions

Referring to Solved Case Study Questions Statistics Class 10 allows students to see clear step-by-step solutions. Consequently, they can understand different approaches to solve one problem. This method also develops confidence, which is essential for performing well in board exams. By revising with solved questions, learners prepare thoroughly for real exam scenarios.

Case Study 2: Worker Wage Analysis

Case Study 2 on Statistics

A factory manager wanted to study the pattern of wages among his workers to decide the bonus for the festive season. He collected data on the daily wages of 50 workers in the factory. Since the wages varied widely, he organized the data into grouped frequency distribution. The wages were recorded in intervals of 100 rupees each, and the frequency distribution was prepared as shown below:

Daily Wages (in Rs.) Number of Workers
100-200 5
200-300 9
300-400 12
400-500 15
500-600 6
600-700 3

This analysis was important for the manager as it helped him understand the distribution of wages and ensure fair policies. By calculating measures like mean, median, and mode, the manager could identify the central tendency of the workers’ wages. These values would allow him to plan increments and bonuses in a fair manner. Based on the above data, answer the following questions:

1. What is the total number of workers in the factory?

Answer: (a) 50

Solution: Adding all frequencies: 5 + 9 + 12 + 15 + 6 + 3 = 50.

2. What is the cumulative frequency up to the class interval 300-400?

Answer: (b) 26

Solution: 5 + 9 + 12 = 26.

3. Which class interval represents the median class?

Answer: (b) 300-400

Solution: N = 50, so N/2 = 25. The cumulative frequencies are 5, 14, 26, 41, 47, 50. The 25th observation lies in 300-400. Hence median class is 300-400.

4. Which class interval is the modal class?

Answer: (d) 400-500

Solution: The highest frequency is 15, corresponding to 400-500. Hence modal class is 400-500.

5. What is the approximate mean daily wage of the workers?

Answer: (b) 380

Solution: Class marks: 150, 250, 350, 450, 550, 650. Multiply by frequencies:
5×150 + 9×250 + 12×350 + 15×450 + 6×550 + 3×650
= 750 + 2250 + 4200 + 6750 + 3300 + 1950 = 19200
Mean = 19200/50 = 384 ≈ 380

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