English

Construct Histograms for Following Frequency Distribution: Class Mark 15 25 35 45 50 55 60 Frenuencv 6 12 15 18 25 14 10 - Mathematics

Advertisements
Advertisements

Question

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10
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
0-9.5 -
9.5-19.5 6
19.5-29.5 12
29.5-39.5 15
39.5-47.5 18
47.5-52.5 25
52.5-57.5 14
57.5-62.5 10
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 1.05

RELATED QUESTIONS

Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes) 60 - 80 80 - 100 100 - 120 120 - 140 140 - 160
No. of students 14 20 24 22 16

Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

Construct histograms for following frequency distribution: 

Class Interval  0-10 10-20 20-30 30-40 40-50 50-60
Frequency  8 20 34 22 10 6

Draw a histogram and frequency polygon to represent the following data (on the same scale) which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living Index Number of months
440 - 460 2
460 - 480 4
480 - 500 3
500 - 520 5
520 - 540 3
540 - 560 2
560 - 580 1
580 - 600 4
Total  24

Construct a histogram from the following distribution of total marks of 40 students in a class.

Marks 90 − 110 110 − 130 130 − 150 150 − 170 170 − 190 190 − 210
No. of Students 9 5 10 7 4 6

Histogram is a graph of a ________ frequency distribution


Draw a histogram and the frequency polygon in the same diagram to represent the following data

Weight (in kg) 50 − 55 56 − 61 62 − 67 68 − 73 74 − 79 80 − 85 86 − 91
No. of persons 15 8 12 17 9 10 6

The height of a rectangle in a histogram shows the ______.


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

  1. Write the classes assuming all the classes are of equal width.
  2. What is the classes width?
  3. In which age group are literate females the least?
  4. In which age group is the number of literate females the highest?

Show the following data by a frequency polygon:

Electricity bill (₹) Families
200 – 400 240
400 – 600 300
600 – 800 450
800 – 1000 350
1000 – 1200 160

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×