Math Case Study Questions Class 10 Statistics

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

Introduction to Math Case Study Questions Class 10 Statistics

Math Case Study Questions Class 10 Statistics focus on real-life data analysis, interpretation, and problem-solving. These problems include applications of mean, median, and mode. By practicing such Class 10 Statistics Case Study Questions, students learn how statistical concepts connect with practical scenarios. This approach builds strong analytical skills, which are crucial for CBSE board exams.

Importance of Solving Case Study Based Statistics Problems

Practicing Case Study Questions on Statistics Class 10 improves accuracy and strengthens conceptual understanding. With regular practice, students handle data tables, bar graphs, and cumulative frequency distributions effectively. Moreover, Cbse Class 10 Statistics Case Study Questions are designed to test logical reasoning. Therefore, solving them not only prepares learners for exams but also sharpens their problem-solving mindset.

Resources for NCERT and Solved Case Studies

Students can use Ncert Case Study Questions Class 10 Maths Statistics for foundational practice. Along with that, Class 10 Maths Case Study Problems on Statistics help in applying formulas in practical ways. Additionally, Solved Case Study Questions Statistics Class 10 provide step-by-step explanations, making revision easier. Consequently, learners develop both confidence and exam readiness.

Case Study 1: Student Performance Analysis

Case Study 1: Student Performance Analysis

A mathematics teacher in Class 10 wanted to analyze the performance of her students in a recent unit test. She collected the marks of 40 students out of 50 and recorded them in a frequency distribution table. This data was important for her to understand how well students had grasped the concepts and whether extra classes were needed for weak performers. The marks (out of 50) obtained by students were grouped into class intervals of size 10. The teacher prepared the table as follows:

Marks (Class Interval) Number of Students (Frequency)
0-10 3
10-20 5
20-30 12
30-40 14
40-50 6

The teacher then asked her students to interpret the data using the concepts of statistics such as mean, median, mode, frequency polygons, and cumulative frequencies. Such an analysis helps not only in interpreting examination results but also in identifying learning gaps among students. Based on the above table, answer the following questions:

1. What is the total number of students who appeared for the test?

Answer: (a) 40

Solution: Adding all frequencies: 3 + 5 + 12 + 14 + 6 = 40.

2. What is the cumulative frequency of the class interval 20-30?

Answer: (a) 20

Solution: Cumulative frequency up to 20-30 = 3 + 5 + 12 = 20.

3. Which class interval contains the median?

Answer: (d) 30-40

Solution: N = 40, so N/2 = 20. The cumulative frequencies are: 3, 8, 20, 34, 40. The 20th observation lies in 30-40. Hence median class is 30-40.

4. What is the modal class of the given data?

Answer: (d) 30-40

Solution: The highest frequency is 14, corresponding to 30-40. Hence modal class is 30-40.

5. What is the approximate mean marks of the students? (Use class marks method)

Answer: (a) 28.5

Solution: Class marks: 5, 15, 25, 35, 45. Multiply by frequencies:
3×5 + 5×15 + 12×25 + 14×35 + 6×45
= 15 + 75 + 300 + 490 + 270 = 1150
Mean = 1150/40 = 28.75 ≈ 28.5

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