Class 9 Statistics Case Study Questions

Class 9 Statistics Case Study Questions

Case Study Questions on Statistics for Class 9

Case Study Questions for Class 9 Surface Area and Volume

Practicing Case Study Questions on Statistics for Class 9 is essential for building strong concepts. These problems help students improve accuracy and analytical skills. In fact, Class 9 Statistics Case Study Questions often appear in CBSE exams. Therefore, solving a variety of problems ensures a deeper understanding of data handling and interpretation. Online tests make revision simple and effective.

Class 9 Statistics Case Study Questions

The syllabus includes mean, median, mode, and data representation. Regular practice with Statistics Case Study Problems for Class 9 improves both speed and confidence. Moreover, CBSE board exams emphasize application-based learning. Thus, students who attempt different formats of questions achieve higher scores.

Case Study Questions for Class 9 Surface Area and Volume

Free online tests combine theory with practical examples. Additionally, interactive case studies strengthen logical reasoning. Practicing Class 9 Statistics Case Study Questions regularly helps learners perform well in exams. Furthermore, detailed solutions guide students step by step.

Case Study 1: Statistics

Case Study Statistics (Grade 9, CBSE/ISC) – 1

In a survey conducted in a school, students from Classes 8, 9, and 10 were asked about the number of hours they spend weekly on self-study (apart from school hours). The data collected from 40 students is presented in the following table. This case study requires the use of concepts from Statistics, particularly measures of central tendency and graphical representation of data.

Data Collected

Hours of Self-study (per week) Number of Students
0-5 6
5-10 10
10-15 12
15-20 8
20-25 4

1. What is the total number of students surveyed?

Answer: (c) 40

Solution: Sum of frequencies = 6 + 10 + 12 + 8 + 4 = 40.

2. What is the mean number of hours of self-study?

Answer: (b) 12.0

Solution: Midpoints are 2.5, 7.5, 12.5, 17.5, 22.5.
∑fixi = 6(2.5) + 10(7.5) + 12(12.5) + 8(17.5) + 4(22.5) = 300.
Mean = 300/40 = 7.5 (Correction: Check carefully).
Correct calculation:
6 × 2.5 = 15, 10 × 7.5 = 75, 12 × 12.5 = 150, 8 × 17.5 = 140, 4 × 22.5 = 90.
Total = 470.
Mean = 470/40 = 11.75 ≈ 12.0.

3. The median class interval is:

Answer: (c) 10-15

Solution: n/2 = 20. Cumulative frequencies: 6, 16, 28. The 20th observation lies in 10-15.

4. Using the empirical relation, approximate the mode of the data.

Answer: (c) 12.0

Solution: Median ≈ 12.5, Mean ≈ 11.75.
Mode ≈ 3 × 12.5 – 2 × 11.75 = 12.0.

5. Which of the following graphs is most suitable to represent the above data?

Answer: (c) Histogram

Solution: Since data is in class intervals, histogram is most appropriate.

Quiz Results

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