R. D. Sharma Solutions for Chapter: Data Handling – II (Central Values), Exercise 2: EXERCISE

The following table shows the weights$(\mathrm{in} \mathrm{kg})$ of $15$ workers in a factory:

$\begin{array}{|cccccc|}\hline \text{ Weight (in Kg) }& 60& 63& 66& 72& 75\\ \text{ Number of workers }& 4& 5& 3& 1& 2\\ \hline\end{array}$

Calculate the mean weight $(\mathrm{in} \mathrm{kg})$.

The ages (in years) of $50$ students of a class in a school are given below:

$\begin{array}{|cccccc|}\hline \text{ Age (in years) }& 14& 15& 16& 17& 18\\ \text{ Number of students }& 15& 14& 10& 8& 3\\ \hline\end{array}$

Find the mean age.

Calculate the mean for the following distribution:

$\begin{array}{|cccccc|}\hline \mathbf{x}\mathbf{:}& 5& 6& 7& 8& 9\\ \mathbf{f}:& 4& 8& 14& 11& 3\\ \hline\end{array}$

Find the mean of the following data:

$\begin{array}{|cccccccc|}\hline \mathbf{x}:& 19& 21& 23& 25& 27& 29& 31\\ f_{:}& 13& 15& 16& 18& 16& 15& 13\\ \hline\end{array}$

Find the value of $\mathrm{p}$ for the following distribution whose mean is $16.6$

$\begin{array}{|cccccccc|}\hline \mathbf{x}\mathbf{:}& 8& 12& 15& \mathrm{p}& 20& 25& 30\\ \mathbf{f}:& 12& 16& 20& 24& 16& 8& 4\\ \hline\end{array}$

Find the missing value of $p$ for the following distribution whose mean is $12.58$

$\begin{array}{|cccccccc|}\hline \mathbf{x}:& 5& 8& 10& 12& \mathrm{p}& 20& 25\\ \mathbf{f}:& 2& 5& 8& 22& 7& 4& 2\\ \hline\end{array}$

Find the missing frequency$\left(p\right)$ for the following distribution whose mean is $7.68$.

Find the value of $p,$ if the mean of the following distribution is $20$

$\begin{array}{|cccccc|}\hline \mathrm{x}:& 15& 17& 19& 20+\mathrm{p}& 23\\ \mathrm{f}:& 2& 3& 4& 5\mathrm{p}& 6\\ \hline\end{array}$