Using weighted mean, the mean is determined by
[tex]\begin{gathered} \overline{x}=\frac{\sum w_ix_i}{w_i} \\ \text{where} \\ x_i\text{ are the data set} \\ w_i\text{ is the weight, or the frequency} \end{gathered}[/tex][tex]\begin{gathered} \overline{x}=\frac{\sum w_ix_i}{w_i} \\ \overline{x}=\frac{1\cdot0+1\cdot10+2\cdot24+3\cdot21+4\cdot16+5\cdot9+6\cdot1}{1+10+24+21+16+9+1} \\ \overline{x}=\frac{0+10+48+63+64+45+6}{82} \\ \overline{x}=\frac{236}{82} \\ \overline{x}=2.87804878 \end{gathered}[/tex]
Rounding off to one decimal place, the mean number of TVs owned is 2.9.
