Measures of Central Tendency

$125,130,75,10,45,0.5,0.40,500,150,5$. Calculate the geometric and the harmonic mean of the following series of monthly expenditure of a batch of students.

Find the harmonic mean of the following distribution of data 

$\begin{array}{|cccc|}\hline \begin{array}{c}\text{ Dividend yield }\\ \text{ (percent) }\end{array}& 2-6& 6-10& 10-14\\ \text{ Number of companies }& 16& 8& 24\\ \hline\end{array}$

Find the harmonic mean of the following distribution of data 

$\begin{array}{|cccc|}\hline \begin{array}{c}\text{ Dividend yield }\\ \text{ (percent) }\end{array}& 2-6& 6-10& 10-14\\ \text{ Number of companies }& 8& 8& 24\\ \hline\end{array}$

Find the harmonic mean of the following distribution of data 

$\begin{array}{|cccc|}\hline \begin{array}{c}\text{ Dividend yield }\\ \text{ (percent) }\end{array}& 2-6& 6-10& 10-14\\ \text{ Number of companies }& 4& 8& 24\\ \hline\end{array}$

Find the harmonic mean of the following distribution of data 

$\begin{array}{|cccc|}\hline \begin{array}{c}\text{ Dividend yield }\\ \text{ (percent) }\end{array}& 2-6& 6-10& 10-14\\ \text{ Number of companies }& 4& 8& 18\\ \hline\end{array}$

The following is the distribution of marks obtained by $105$ students in a subject in an institution. Find the Geometric mean.

$\begin{array}{|cccccccccc|}\hline \text{ Marks }& 4-8& 8-12& 12-16& 16-20& 20-24& 24-28& 28-32& 32-36& 36-40\\ \begin{array}{c}\text{ Number of }\\ \text{ Students }\left(f\right)\end{array}& 7& 4& 18& 30& 15& 12& 10& 6& 3\\ \hline\end{array}$

The following is the distribution of marks obtained by $109$ students in a subject in an institution. Find the Geometric mean.

$\begin{array}{|cccccccccc|}\hline \text{ Marks }& 4-8& 8-12& 12-16& 16-20& 20-24& 24-28& 28-32& 32-36& 36-40\\ \begin{array}{c}\text{ Number of }\\ \text{ Students }\left(f\right)\end{array}& 7& 8& 18& 30& 15& 12& 10& 6& 3\\ \hline\end{array}$

The following is the distribution of marks obtained by $108$ students in a subject in an institution. Find the Geometric mean.

$\begin{array}{|cccccccccc|}\hline \text{ Marks }& 4-8& 8-12& 12-16& 16-20& 20-24& 24-28& 28-32& 32-36& 36-40\\ \begin{array}{c}\text{ Number of }\\ \text{ Students }\left(f\right)\end{array}& 7& 7& 18& 30& 15& 12& 10& 6& 3\\ \hline\end{array}$

The following is the distribution of marks obtained by $107$ students in a subject in an institution. Find the Geometric mean.

$\begin{array}{|cccccccccc|}\hline \text{ Marks }& 4-8& 8-12& 12-16& 16-20& 20-24& 24-28& 28-32& 32-36& 36-40\\ \begin{array}{c}\text{ Number of }\\ \text{ Students }\left(f\right)\end{array}& 7& 6& 18& 30& 15& 12& 10& 6& 3\\ \hline\end{array}$

The following is the distribution of marks obtained by $106$ students in a subject in an institution. Find the Geometric mean.

$\begin{array}{|cccccccccc|}\hline \text{ Marks }& 4-8& 8-12& 12-16& 16-20& 20-24& 24-28& 28-32& 32-36& 36-40\\ \begin{array}{c}\text{ Number of }\\ \text{ Students }\left(f\right)\end{array}& 7& 5& 18& 30& 15& 12& 10& 6& 3\\ \hline\end{array}$

In a class test, $30$ students obtained marks as follows;

Find the mode.

In a class test, $52$ students obtained marks as follows;

Find the mode.

In a class test, $50$ students obtained marks as follows;

Find the mode.

Calculate the arithmetic mean from the following given data: (Using direct method)

Calculate the arithmetic mean from the following given data: (Using direct method)

Calculate the arithmetic mean from the following given data: (Using direct method)

Calculate the arithmetic mean from the following given data: (Using direct method)

Calculate the arithmetic mean from the following given data: (Using direct method)

If $\mathrm{mean}=(3 \mathrm{median} – \mathrm{mode})·\mathrm{k}$, then the value of $\mathrm{k}$ is

In a class of 30 students marks obtained by students in mathematics out of 50 is tabulated as below. Calculate the mode of data given.