Statistics Case Study Problems for Class 9

Statistics Case Study Problems for Class 9

Case Study Questions on Statistics for Class 9

Statistics Case Study Problems for Class 9

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.

Statistics Case Study Problems for Class 9

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.

Statistics Case Study Problems for Class 9

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 3: Statistics
Case Study Statistics (Grade 9, CBSE/ISC) – 3

A teacher conducted a short diagnostic quiz of 10 marks for a batch of 25 Class 9 students to understand the distribution of basic concept mastery before starting a new unit. The teacher recorded each student’s score and tabulated the raw data. She wants the students to analyze the data to find which score is most common, what a typical student’s score looks like, and how to present these results so that parents and other teachers can quickly see the pattern. Students must use the given raw data to prepare a frequency table, identify modal and median scores, compute the average score, and suggest the most appropriate graphical representations. The paragraph above contains the situation and requirements; base your answers strictly on the data below and show reasoning in the solution steps.

Raw Scores of 25 Students (out of 10):
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10

1. What is the total number of students whose scores are recorded?

Answer: (c) 25

Solution: Count the number of scores listed. There are 25 entries.

2. What is the mean (average) score of the class?

Answer: (b) 6.6

Solution: Add all scores carefully:
2 + 3 = 5.
5 + 4 = 9.
9 + 4 = 13.
13 + 5 = 18.
18 + 5 = 23.
23 + 5 = 28.
28 + 6 = 34.
34 + 6 = 40.
40 + 6 = 46.
46 + 6 = 52.
52 + 6 = 58.
58 + 7 = 65.
65 + 7 = 72.
72 + 7 = 79.
79 + 7 = 86.
86 + 8 = 94.
94 + 8 = 102.
102 + 8 = 110.
110 + 8 = 118.
118 + 9 = 127.
127 + 9 = 136.
136 + 9 = 145.
145 + 10 = 155.
155 + 10 = 165.
Total sum of scores = 165.
Number of students = 25.
Mean = 165 divided by 25 = 6.6.

3. What is the median score?

Answer: (c) 7

Solution: The scores are already arranged in order. For 25 observations, the middle one is the 13th value. Counting the sorted list, the 13th score is 7. Hence median = 7.

4. What is the mode of the distribution?

Answer: (b) 6

Solution: Count frequencies: 2 appears once, 3 once, 4 twice, 5 three times, 6 five times, 7 four times, 8 four times, 9 three times, 10 twice. The highest frequency is 5 for score 6. Therefore mode = 6.

5. Which type of graph is most appropriate to show the frequency of each integer score from 2 to 10?

Answer: (b) Bar graph of score versus frequency

Solution: For discrete integer scores, a bar graph with score categories on the horizontal axis and their frequencies on the vertical axis clearly shows which scores are most and least common. A histogram with unit class width is also acceptable.

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