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

Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

Draw a histogram representing the above data.


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).


Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Marks  25 30 35 40 45 50
No. of students 6 15 12 10 18 9

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6

Draw a histogram for the following frequency distribution.

Use of electricity (Unit)
50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
No. of families 150 400 460 540 600 350

Draw histogram and hence the frequency polygon for the following frequency distribution:

Rainfall (in cm) No. of years
20-25 2
25-30 5
30-35 8
35-40 12
40-45 10
45-50 7

Distribution of height in cm of 100 people is given below:

Class interval (cm) Frequency
145 - 155 3
155 - 165 35
165 - 175 25
175 - 185 15
185 - 195 20
195 - 205 2

Draw a histogram to represent the above data.


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


Histogram shows the number of people owning the different number of books. Answer the question based on it.


The number of people owning books less than 40 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×