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The given table shows data regarding the age distribution of 35 students in a class:

| **Age Group (in years)** | **Number of Students** |
|--------------------------|-----------------------|
| 38 or more               | 0                     |
| 40 or more               | 3                     |
| 42 or more               | 5                     |
| 44 or more               | 9                     |
| 46 or more               | 14                    |
| 48 or more               | 28                    |
| 50 or more               | 31                    |
| 52 or more               | 35                    |

### Analysis

The problem asks to find the *cumulative frequency distribution* of student ages. This cumulative frequency indicates the number of students whose ages are greater than or equal to a specific value.

Given this, the cumulative frequency distribution is as follows:

1. **38 or more:** 35 students (since no student is less than 38 years old)
2. **40 or more:** 35 - 3 = 32 students
3. **42 or more:** 35 - 5 = 30 students
4. **44 or more:** 35 - 9 = 26 students
5. **46 or more:** 35 - 14 = 21 students
6. **48 or more:** 35 - 28 = 7 students
7. **50 or more:** 35 - 31 = 4 students
8. **52 or more:** 35 - 35 = 0 students (no one above 52)

If you need further analysis, explanations, or help with a related query, feel free to ask!

### Additional Questions:
1. How would you calculate the mean age from the given data?
2. What is the median age of the students?
3. How can you visualize this data using a bar graph or histogram?
4. How would you find the mode of the given dataset?
5. What is the range of the ages of students?

**Tip:** When analyzing grouped frequency data, calculating cumulative frequency helps in understanding the distribution better!

35 વિદ્યાર્થીઓની ગાર્હિક તપાસ દશમિયાન તેમના વયજન અંગેની માહિતી નીચે મુજબ છે:

| **વયજ (વર્ષોમાં)** | **વિદ્યાર્થીઓની સંખ્યા** |
|--------------------|------------------------|
| 38 થી ઓછી         | 0                      |
| 40 થી ઓછી         | 3                      |
| 42 થી ઓછી         | 5                      |
| 44 થી ઓછી         | 9                      |
| 46 થી ઓછી         | 14                     |
| 48 થી ઓછી         | 28                     |
| 50 થી ઓછી         | 31                     |
| 52 થી ઓછી         | 35                     |

Understand the cumulative frequency distribution of student ages based on a dataset of 35 students. This problem demonstrates how to calculate cumulative frequencies to determine age-based distributions, suitable for Grades 9-10 students.

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