English

Construct a Histogram and Then a Frequency Polygon for the Following Frequency Distribution. Class Interval 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 8 13 27 35 14 3 - Mathematics

Advertisements
Advertisements

Question

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 8 13 27 35 14 3
Sum

Solution

Steps : 

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

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

3. Draw rectangle of histogram as per given data.

4. For each rectangle , mark the midpoint of its length at the top part . In this case , points are (5,8),(15,13),(25,27),(35,35),(45,14),(55,3).

5. Mark two more midpoints of zero frequency on x-axis at the start and at the end.

6. Now connect the points using straight lines.

Class Interval Frequency
0-10 8
10-20 13
20-30 27
30-40 35
40-50 14
50-60 3

shaalaa.com
Finding the Mode from the Histogram
  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 2.01

RELATED QUESTIONS

(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Pocket expenses (in Rs.) Number of students (Frequency)
0-5 10
5-10 14
10-15 28
15-20 42
20-25 50
25-30 30
30-35 14
35-40 12

Draw a histogram representing the above distribution and estimate the mode from the graph.


Draw a histogram and hence estimate the mode for the following frequency distribution: 

Class  0-5 5-10 10-15 15-20 20-25 25-30
Freq 0 7 18 10 8 5

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval 11-20 21-30 31-40 41-50 51-60 61-70
Frequency 15 28 50 35 20 12

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval 100-150 150-200 200-250 250-300 300-350
Frequency 10 15 17 12 10

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

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

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


In the given graph, the modal class is the class with frequency:


The following distribution gives the daily wages of 60 workers of a factory.

Daily income in
Number of workers
(f)
200 – 300 6
300 – 400 10
400 – 500 14
500 – 600 16
600 – 700 10
700 – 800 4

Use graph paper to Solution this question.

Take 2 cm = ₹ 100 along one axis and 2 cm = 2 workers along the other axis.

Draw a histogram and hence find the mode of the given distribution.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×