https://file.aiquickdraw.com/mathbot/file/1726591221219pcxpushv.jpg

To find the median, we will first need to organize the data and follow these steps:

1. **Cumulative Frequency**: The table shows the number of students scoring less than certain marks. We can interpret this as cumulative frequency data, where each cell represents how many students scored less than a certain number. The cumulative frequency is already provided.

2. **Total number of students (N)**: The total number of students is the value in the last cell ("Less than 100"), which is 100 students.

3. **Finding the median class**: The median is the value that divides the data into two equal parts. Since there are 100 students, the median will be the 50.5th student's score. We need to find the cumulative frequency where this student falls.

Let's calculate the class where this median lies:

| Marks obtained  | Number of students | Cumulative Frequency |
|-----------------|--------------------|----------------------|
| Less than 20    | 2                  | 2                    |
| Less than 30    | 7                  | 9                    |
| Less than 40    | 17                 | 26                   |
| Less than 50    | 40                 | 66                   |
| Less than 60    | 60                 | 82                   |
| Less than 70    | 82                 | 164                  |
| Less than 80    | 85                 | 249                  |
| Less than 90    | 90                 | 339                  |
| Less than 100   | 100                | 439                  |




Q22. Find the median. The table shows the number of students who obtained marks less than certain thresholds.

Learn how to find the median from a cumulative frequency table showing student marks. This step-by-step guide covers key concepts of median and cumulative frequency in statistics, suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation