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Given below are the marks obtained by 32...

Given below are the marks obtained by 32 students in an examination :
`{:(29 23 30 40 11 01 15 35),(40 03 12 18 30 24 25 29),(31 32 25 22 27 12 13 02),(07 09 19 13 32 39 25 03):}`
Taking class intervals 1 - 10, 11 - 20............... 31 - 40, make a frequency table for the above distribution.

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To create a frequency table for the given marks of 32 students, we will follow these steps: ### Step 1: Define Class Intervals We will define the class intervals based on the given range of marks. The intervals will be: - 1 - 10 - 11 - 20 - 21 - 30 - 31 - 40 ### Step 2: Count the Frequency for Each Class Interval We will count how many marks fall into each class interval. The marks given are: `29, 23, 30, 40, 11, 1, 15, 35, 40, 3, 12, 18, 30, 24, 25, 29, 31, 32, 25, 22, 27, 12, 13, 2, 7, 9, 19, 13, 32, 39, 25, 3` Now, we will categorize these marks into the defined intervals: - **1 - 10**: 1, 3, 2, 7, 9 (Total: 5) - **11 - 20**: 11, 15, 12, 18, 12, 13, 13, 19 (Total: 8) - **21 - 30**: 29, 23, 30, 30, 24, 25, 29, 25, 22, 27, 25 (Total: 11) - **31 - 40**: 40, 35, 31, 32, 32, 39, 40 (Total: 8) ### Step 3: Create the Frequency Table Now we will compile the counts into a frequency table: | Class Interval | Tally Marks | Frequency | |----------------|-------------|-----------| | 1 - 10 | ||||| | 5 | | 11 - 20 | |||||||| | 8 | | 21 - 30 | |||||||||||| | 11 | | 31 - 40 | |||||||| | 8 | | **Total** | | **32** | ### Step 4: Verify the Total Frequency We will sum the frequencies to ensure they equal the total number of students: 5 + 8 + 11 + 8 = 32 ### Final Frequency Table The final frequency table is as follows: | Class Interval | Tally Marks | Frequency | |----------------|-------------|-----------| | 1 - 10 | ||||| | 5 | | 11 - 20 | |||||||| | 8 | | 21 - 30 | |||||||||||| | 11 | | 31 - 40 | |||||||| | 8 | | **Total** | | **32** |
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