Here is the English translation: > Find the mode of the following data: <table> <tr> <th>Marks</th> <td>0–5</td> <td>5–10</td> <td>10–15</td> <td>15–20</td> <td>20–25</td> <td>25–30</td> <td>30–35</td> <td>35–40</td> </tr> <tr> <th>Number of Students</th> <td>2</td> <td>6</td> <td>10</td> <td>16</td> <td>22</td> <td>11</td> <td>8</td> <td>5</td> </tr> </table>

Q.Here is the English translation: > Find the mode of the following data:

Marks	0–5	5–10	10–15	15–20	20–25	25–30	30–35	35–40
Number of Students	2	6	10	16	22	11	8	5

The modal class from the above frequency distribution is \(20–25\) So, required mode: \[ = l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h \] Where: \(l = 20\), \(f_1 = 22\), \(f_0 = 16\), \(f_2 = 11\), \(h = 5\) Substitute the values: \[ = 20 + \frac{22 - 16}{2 \times 22 - 16 - 11} \times 5 = 20 + \frac{6}{17} \times 5 = 20 + \frac{30}{17} = 20 + 1.76 = 21.76 \, (\text{approx}) \]

Class Interval	0–5	5–10	10–15
Frequency	5	12	18

Class	0–5	5–10	10–15	15–20	20–25	25–30	30–35
Frequency	5	12	18	28	17	12	8