Question

the following data indicates the marks of students in mathematics
MARKS: 20-30 ,30-40 ,40-50 ,50-60 ,60-79 ,70-80 ,80-90 ,90-100
NO OF STUDENTS: 4,5,5,6,7,9,7,8

Draw less than type Ogive for the Data

Answer 1

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

Given data is

$\:  \:  \:  \:  \begin{gathered} \begin{array}{|c|c|} \bf{Marks} & \bf{Number \: of \: Students} \\ 20 - 30 & 4  \\30 - 40 & 5 \\40 - 50 & 5 \\50 - 60 & 6 \\60 - 70 & 7\\70 - 80 & 9\\80 - 90 & 7\\90 - 100 & 8 \end{array}\end{gathered}$

Frequency distribution table for Less than Ogive

$\:  \:  \:  \:  \:  \:  \:  \:  \: \begin{gathered} \begin{array}{|c|c|} \bf{Less  \: than} & \bf{Cumulative \: Frequency} \\ 30 & 4  \\40 & 9 \\50 & 14 \\60 & 20 \\70 & 27\\80 & 36\\90 & 43\\100 & 51 \end{array}\end{gathered}$

See the attachment graph for less than ogive.

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ADDITIONAL INFORMATION

More than ogive of the above data

$\:  \:  \:  \:  \:  \:  \:  \:  \: \begin{gathered} \begin{array}{|c|c|} \bf{More  \: than} & \bf{Cumulative \: Frequency} \\ 20  & 51  \\30 & 47 \\40 & 42 \\50  & 37 \\60 & 31\\70  & 24\\80  & 15\\90 & 8 \end{array}\end{gathered}$