English

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: - Mathematics

Advertisements
Advertisements

Question

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
Graph

Solution

Histogram and frequency polygon representing the cost of living index of city in a period of 2 years:

shaalaa.com
  Is there an error in this question or solution?
Chapter 19: Statistics - Graphical Depiction

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 19 Statistics
Graphical Depiction | Q 13

RELATED QUESTIONS

Draw histogram and frequency polygon on the same graph paper for the following frequency distribution

Class Frequency
15-20 20
20-25 30
25-30 50
30-35 40
35-40 25
40-45 10

 


Draw histogram for the following frequency distributions: 

Class Interval  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

Draw histogram for the following frequency distributions: 

Class Interval  30 – 39 40 – 49 50 – 59 60 – 69 70 – 79
 Frequency  24 16 09 15 20

The following table shows the investment made by some families. Show
the information by a histogran. 

Investment
(Thousand Rupees)
10-15 15-20 20-25 25-30 30-35
No. of families 30 50 60 55 15

 

 


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 frequency distribution table shows marks obtained by 180 students in Mathematics examination. 

Marks  No. of students
0 – 10 25
10 – 20  x
20 – 30 30
30 – 40 2x
40 – 50 65

Find the value of x. Also draw a histogram representing the above information.


Construct histograms for following frequency distribution: 

Class Interval  1-10  11-20  21-30  31-40  41-50 
Frequency  11 23 30 20 16

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 the Histogram and hence, the frequency polygon for the following frequency distribution: 

House Rent (In ₹ per month) 400-600 600-800 800-1000 1000-1200
Number of families  200 240 300 50

The time taken, in seconds, to solve a problem for each of 25 persons is as follows:

16 20 26 27 28
30 33 37 38 40
42 43 46 46 47
48 49 50 53 58
59 60 64 52 20

(i) Construct a frequency distribution for these data using a class interval of 10 seconds.
(ii) In a school the weekly pocket money of 50 students is as follow's:

Weekly pocket money (₹) No. of student
40 - 50 2
59 - 60 8
60 - 70 12
70 - 80 14
80 - 90 8
90 - 100 6

Draw a histogram and a frequency polygon on the same graph. Find mode from the graph.


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

Draw a histogram to represent the following data:

Pocket money in ₹ No. of Students
150 - 200 10
200 - 250 5
250 - 300 7
300 - 350 4
350 - 400 3

Identify the following data can be represented in a histogram?

The number of mountain climbers in the age group 20 to 60 in Tamil Nadu.


Identify the following data can be represented in a histogram?

The wickets fallen from 1 over to 50th over in a one day cricket match


Draw a histogram for the following data.

Mid Value (x) 15 25 35 45 55 65 75
Frequency (f) 12 24 30 18 26 10 8

The number of people owning books more than 60 is ______.


The number of people having books more than 20 and less than 40 is ______.


Draw a histogram to represent the frequency distribution in question 91.


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?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×