Construction of a Histogram for Discontinuous Frequency Distribution

Q.

To draw a histogram to represent the following frequency distribution. The adjusted frequency for the class $25\leftrightarrow 45$ is :

Class interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

1. $5$

2. $6$

3. $3$

4. $2$

Q.

The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table. Draw a histogram to represent the data above.

Length (in mm)	Number of leaves
$118-126$	$8$
$127-135$	$10$
$136-144$	$12$
$145-153$	$17$
$154-162$	$7$
$163-171$	$5$
$172-180$	$3$

Q. Given below is the frequency distribution of the heights of 50 students of a class:
$\begin{array}{cccccc}\text{Class Interval}& 140-145& 145-150& 150-155& 155-160& 160-165\\ \text{Frequency}& 8& 12& 18& 10& 5\end{array}$

Draw a histogram representing the above data.

Q.

Question 102

Draw a histogram for the following data. ?
$\begin{array}{ccccccc}Classinterval& 10-15& 15-20& 20-25& 25-30& 30-35& 35-40\\ Frequency& 30& 98& 80& 58& 29& 50\end{array}$

Q. Construct a histogram for the marks obtained by $100$ students in the Class VII annual examinations shown below.

Q. The following table gives the marks scored by 100 students in an entrance examination.

$\begin{array}{ccccccccc}\text{Mark}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80\\ \text{No. of Students (Frequency):}& 4& 10& 16& 22& 20& 18& 8& 2\end{array}$

Represent the data in the form of a histogram [4 MARKS]

Q. In a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval?
If true then enter $1$ and if false then enter $0$

1. $1$
2. $0$
3. can't determine
4. None of these

Q. Given below is the frequency distribution of the heights of 50 students of a class:
$\begin{array}{cccccc}\text{Class Interval}& 140-145& 145-150& 150-155& 155-160& 160-165\\ \text{Frequency}& 8& 12& 18& 10& 5\end{array}$

Draw a histogram representing the above data.

Q.

Draw a histogram for the following data:

$\begin{array}{ccccccc}Class-interval:& 25-29& 30-24& 35-39& 40-44& 45-49& 50-54\\ Frequency:& 5& 15& 23& 20& 10& 7\end{array}$

1. 

2. 

3. 

4. None of these

Q.

For which of these would you use a histogram to show the data?
(a) The number of letters for different areas in a postman's bag.
(b) The height of competitors in an athletics meet.
(c) The number of cassettes produced by $5$ companies.
(d) The number of passengers boarding trains from $7:00$ a.m. to $7:00$ p.m. at a station.
Give reasons for each.

Q. Draw a histogram to represent the following grouped frequency distribution

$\begin{array}{cc}\text{Age(in years)}& \text{Number of teachers}\\ 20-24& 10\\ 25-29& 28\\ 30-34& 32\\ 35-39& 48\\ 40-44& 50\\ 45-49& 35\\ 50-54& 12\end{array}$

[5 marks]