If the mean of the following frequency distribution is 4.5, find the misssing frequency f.

$\begin{array}{ccccccccccc}\text{Variable}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ \text{Frequency}& 5& 12& \text{f}& 13& 7& 9& 12& 3& 11& 4\end{array}$

Q.

If the mean of the following frequency distribution is 4.5, find the misssing frequency f.

$\begin{array}{ccccccccccc}\text{Variable}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ \text{Frequency}& 5& 12& \text{f}& 13& 7& 9& 12& 3& 11& 4\end{array}$

Q.

Find the missing frequencies in the following frequency distribution whose mean is 34.
$\begin{array}{cccccccc}\text{x}& 10& 20& 30& 40& 50& 60& \text{Total}\\ \text{f}& 4& f_1& 8& f_2& 3& 4& 35\end{array}$
(3 Marks)

Q. The following table shows the frequency distribution of the diameters of 40 bottles. Find the mean of the data.
$\begin{array}{cccccc}\text{Diameter (mm)}& 35-39& 40-44& 45-49& 50-54& 55-60\\ \text{Frequency}& 6& 12& 15& 10& 7\end{array}$

Q. The following table shows the frequency distribution of the ages of 35 people. Find the mean of the data.
$\begin{array}{cccccc}ClassInterval& 0-10& 10-20& 20-30& 30-40& 40-50\\ Frequency\left(f\right)& 5& 15& 10& 2& 3\end{array}$

Q.

Find the vale of p for the following frequency distribution whose mean is 16.6
$\begin{array}{cccccccc}\text{x}& 8& 12& 15& p& 20& 25& 30\\ \text{f}& 12& 16& 20& 24& 16& 8& 4\end{array}$