The arithmetic mean of the distribution given below is <table><tr><td>$x$</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td></tr><tr><td>$f$</td><td>2</td><td>5</td><td>8</td><td>15</td><td>17</td><td>12</td><td>11</td></tr></table>

1. Read the data: The arithmetic mean of the distribution given below is <table><tr><td>$x$</td><td>1</td><td>2</td><td>3</td><td>4</td><. 2. Apply the standard arithmetic / algebraic identity for this form. 3. Working through gives the answer **C. $\frac{33}{7}$**. _Source: APICET 2022 Q.191_