Graphical Representation of the Frequency Distribution for Grouped Data

Draw a frequency polygon for the following data without using histogram.

$\begin{array}{|ccccccccc|}\hline \text{ Class interval (Marks) }& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90\\ \text{ Frequency }& 4& 6& 8& 12& 10& 14& 5& 7\\ \hline\end{array}$

Draw a frequency polygon for the following data using histogram.

$\begin{array}{|lcccccccccc|}\hline \text{ Marks }& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90& 90-100\\ \begin{array}{l}\text{ Number of }\\ \text{ students }\end{array}& 5& 8& 10& 18& 25& 22& 20& 13& 6& 3\\ \hline\end{array}$

The following is the distribution of time spent in the library by students in a school.

$\begin{array}{|lcccccccc|}\hline \text{ Time spent (in minutes) }& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90\\ \text{ Number of Students }& 25& 40& 33& 28& 30& 20& 16& 8\\ \hline\end{array}$

Draw a frequency polygon using histogram.

The following table gives the number of literate females in the age group $10$ to $45$ years in a town.

$\begin{array}{|lcccccc|}\hline \text{ Age group }& 10-15& 16-21& 22-27& 28-33& 34-39& 40-45\\ \text{ No. of females }& 350& 920& 850& 480& 230& 200\\ \hline\end{array}$

Draw a histogram to represent the above data

Draw a histogram for the following table which represents the age groups from $100$ people in a village.

$\begin{array}{|lccccccccc|}\hline \text{ Ages }& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90\\ \text{ Number of people }& 11& 9& 8& 20& 25& 10& 8& 6& 3\\ \hline\end{array}$

A graph that displays data that changes continuously over the periods of time is _____ graph.

In a village, there are $570$ people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn.

Number of people using cell phone for less than $1$ hour?

In a village, there are $570$ people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn. Answer the following question.

How many of them use the cell phone for more than $5$ hours?

In a village, there are $570$ people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn. Answer the following question.

How many people use the cell phone for less than $3$ hours?

The marks obtained by $50$ students in Mathematics are given below. Draw a histogram and a frequency polygon.

$\begin{array}{|cccccccccc|}\hline 52& 33& 56& 52& 44& 59& 47& 61& 49& 61\\ 47& 52& 67& 39& 89& 57& 64& 58& 63& 65\\ 32& 64& 50& 54& 42& 48& 22& 37& 59& 63\\ 36& 35& 48& 48& 55& 62& 74& 43& 41& 51\\ 08& 71& 30& 18& 43& 28& 20& 40& 58& 49\\ \hline\end{array}$

The graphical representation of ungrouped data is _____.

In a class interval the upper limit of one class is the lower limit of the other class. This is _____ series.

Inclusive series is a _____ series

The data that can take values between a certain range is called 

The difference between the largest value and the smallest value of the given data is_____.

The number of times an observation occurs in the given data is called 

Data is a collection of

The marks obtained by $50$ students in Mathematics are given below. Make a frequency distribution table taking a class size of $10$ marks.

$\begin{array}{|cccccccccc|}\hline 52& 33& 56& 52& 44& 59& 47& 61& 49& 61\\ 47& 52& 67& 39& 89& 57& 64& 58& 63& 65\\ 32& 64& 50& 54& 42& 48& 22& 37& 59& 63\\ 36& 35& 48& 48& 55& 62& 74& 43& 41& 51\\ 08& 71& 30& 18& 43& 28& 20& 40& 58& 49\\ \hline\end{array}$

In a study of dental problem, the following data were obtained.

Represent the above data by a frequency polygon.

The distribution of heights (in $\mathrm{cm}$) of $100$ people is given below. Construct a histogram and the frequency polygon imposed on it.

$\begin{array}{|cccccccc|}\hline \text{ Height (in cm) }& 125-135& 136-146& 147-157& 158-168& 169-179& 180-190& 191-201\\ \text{ Frequency }& 12& 22& 18& 24& 15& 7& 2\\ \hline\end{array}$