Here is the English translation: > Calculate the average (mean) from the following frequency distribution using any method: <table> <tr> <th>Class Interval</th> <td>85–105</td> <td>105–125</td> <td>125–145</td> <td>145–165</td> <td>165–185</td> <td>185–205</td> </tr> <tr> <th>Frequency</th> <td>3</td> <td>12</td> <td>18</td> <td>10</td> <td>5</td> <td>2</td> </tr> </table>

Q.Here is the English translation: > Calculate the average (mean) from the following frequency distribution using any method:

Class Interval	85–105	105–125	125–145	145–165	165–185	185–205
Frequency	3	12	18	10	5	2

Frequency Distribution Table

Class Interval	Frequency \( (f_i) \)	Class Midpoint \( (x_i) \)	\( f_i x_i \)
85–105	3	95	285
105–125	12	115	1380
125–145	18	135	2430
145–165	10	155	1550
165–185	5	175	875
185–205	2	195	390
Total	\( \Sigma f_i = 50 \)		\( \Sigma f_i x_i = 6910 \)

--- Using the **direct method**, \[ \text{Mean} = \frac{\Sigma f_i x_i}{\Sigma f_i} = \frac{6910}{50} = 138.2 \]