Problem:
A school management decides to conduct a sports competition for the academic year. The management discusses with the sports teachers of the school and comes up with an action plan.
According to the action plan, the number of students in the school will be classified considering their ages and compete against students of the same age group.
The data table is as follows:
|
Age groups
|
\(5\) - \(8\)
|
\(8\) - \(11\)
|
\(11\) - \(14\)
|
\(14\) - \(17\)
|
|
Number of students
|
\(75\)
|
\(89\)
|
\(70\)
|
\(100\)
|
Construct a frequency polygon with a histogram.
Determine the mid-point of each of the intervals:
|
Age groups
|
Mid-point
|
Number of students
|
|
\(5\) - \(8\)
|
\(75\)
|
|
|
\(8\) - \(11\)
|
\(89\)
|
|
|
\(11\) - \(14\)
|
\(70\)
|
|
|
\(14\) - \(17\)
|
\(100\)
|
The respective graph is depicted as: