To find the mean, multiply each mark by its corresponding frequency. Then, add the products. Finally, divide the sum by the total frequency, which is 40.
[tex]\begin{gathered} 1\times3=3 \\ 2\times5=10 \\ 3\times6=18 \\ 4\times9=36 \\ 5\times5=25 \\ 6\times2=12 \\ 7\times6=42 \\ 8\times4=32 \end{gathered}[/tex][tex]3+10+18+36+25+12+42+32=178[/tex][tex]178\div40=4.45[/tex]
So the mean mark for the distribution is 4.45.
