ANSWER
[tex]\begin{gathered} 11.25 \\ \cong11.3 \end{gathered}[/tex]
EXPLANATION
From the given table;
Recall that mean is calculated using;
[tex]\begin{gathered} x=\frac{\sum_^fx}{\operatorname{\sum}_^x} \\ \end{gathered}[/tex]
The summation of frequency and the number of families is;
[tex]\sum_^fx=7\times1+4\times4+16\times7=135[/tex]
The summation of the frequency is;
[tex]\begin{gathered} \sum_^x=1+4+7 \\ =12 \end{gathered}[/tex]
Applying the formula; Mean;
[tex]\begin{gathered} x=\frac{135}{12} \\ =11.25 \end{gathered}[/tex]
The mean is 11.3 to one decimal place.