Question

draw a less than ogive for the data given in the following table. class interval :0-10,10-20,20-30,30-40,40-50.then it's frequency : 2,12,2,4,3​

Answer 1

$\large\underline{\sf{Solution-}}$

Given data is

$\begin{gathered} \begin{array}{|c|c|} \bf{Class \: Interval} & \bf{Frequency} \\ 0 - 10 & 2  \\10 - 20 & 12 \\20 - 30 & 2 \\30 - 40 & 4 \\40 - 50 & 3 \end{array}\end{gathered}$

Less than Distribution table :-

$\begin{gathered} \begin{array}{|c|c|} \bf{Class \: Interval} & \bf{Frequency} \\Less \: than \: 10 & 2  \\ Less \: than \: 20 & 14 \\Less \: than \: 30 & 16 \\Less \: than \: 40 & 20 \\Less \: than \: 50 & 23 \end{array}\end{gathered}$

Additional Information :-

More than frequency distribution table

$\begin{gathered} \begin{array}{|c|c|} \bf{Class \: Interval} & \bf{Frequency} \\ More \: than \: 0 & 23  \\More \: than \: 10  & 21 \\More \: than \: 20 & 9 \\More \: than \: 30 & 7 \\More \: than \: 40  & 3 \end{array}\end{gathered}$

Ogives are used to find the Median of data graphically.

The point of intersection of less than ogive and more than ogive gives median value.