Construct a frequency distribution table for the following distributions:

Marks (less than) | 0 | 10 | 20 | 30 | 40 | 50

Cumulative frequency | 0 | 7 | 28 | 54 | 71 | 84

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Find the mean and variance for the following frequency distribution.

Classes	0-10	10-20	20-30	30-40	40-50
Frequencies	5	8	15	16	6

\begin{matrix} Marks & No. of students less than 10 & 6 less than 20 & 15 less than 30 & 30 less than 40 & 39 less than 50 & 53 less than 60 & 70 \end{matrix}

\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y (f) & 5 & 15 & 10 & 2 & 3 \end{matrix}

Frequency table of the marks of 50 students as given below:

Given that the median marks are 28.5, the missing frequencies will be

Find the Median for the given data by drawing a 'less than ogive' :

$\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 5 & 10 & 14 & 16 & 8 \end{matrix}$

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