English

Construct Histograms for Following Frequency Distribution: Class Mark 6 12 18 24 30 36 Frequency 8 12 15 18 25 7

Advertisements
Advertisements

Question

Construct histograms for following frequency distribution: 

Class Mark  6 12 18 24 30 36
Frequency 8 12 15 18 25 7
Sum
Advertisements

Solution

Steps : 

a. Make the class intervals continuous by taking class mark as midpoints.

b. On the x-axis, take 1 cm as 5 units and plot class interval.

c. On the y-axis , take 1 cm as 5 units and plot frequency.

d. Draw rectangles of histogram as per given data.

Class Interval Frequency
3-9 8
9-15 12
15-21 15
21-27 18
27-33 25
33-39 7

shaalaa.com
  Is there an error in this question or solution?
Chapter 23: Graphical Representations - Exercise

APPEARS IN

Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 23 Graphical Representations
Exercise | Q 1.06

RELATED QUESTIONS

The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

  1. Frame a frequency distribution table.
  2. To calculate mean.
  3. To determine the Modal class.


A Mathematics aptitude test of 50 students was recorded as follows:

Marks 50 - 60 60 - 70 70 - 80 80 - 90 90 – 100
No. of Students 4 8 14 19 5

Draw a histogram from the above data using a graph paper and locate the mode.


In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).


The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:

(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?


The following histogram shows the frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?


The marks scored by students in Mathematics in a certain examination are given below :

Marks Scored Number of Students
0 - 20  6
20 - 40 9
40 - 60 14
60 - 80 16
80 - 100 5

Draw histogram for the above data.


Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.

Class Frequency
0 - 5 2
5 - 10 7
10 - 15 18
15 - 20 10
20 - 25 8
25 - 30 5
Total 24

Identify the following data can be represented in a histogram?

The number of votes polled from 7 am to 6 pm in an election


The following pictorial representation of data is a histogram.


Prepare a histogram from the frequency distribution table obtained in question 93.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×