English
Maharashtra State BoardSSC (English Medium) 10th Standard

Draw Histogram and Frequency Polygon on the Same Graph Paper for the Following Frequency Distribution

Advertisements
Advertisements

Question

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

 

Advertisements

Solution

Class 15 20 20 25 25 30 30 35 35 40 40 45
Frequency 20 30 50 40 25 10
Classmark 17.5 22.5 27.5 32.5 37.5 42.5

Scale - on x axis : 1 cm = 5 units and y axis : 1 cm = 5 units

Histogram : -

 

Frequency Polygon curve : -

shaalaa.com
  Is there an error in this question or solution?
2017-2018 (March) Set A

RELATED QUESTIONS

Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(1) Which group has the maximum number of workers?

(2) How many workers earn Rs 850 and more?

(3) How many workers earn less than Rs 850?


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.


The table below shows the yield of jowar per acre. Show the data by histogram.

Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9  10 - 11
No. of farmers 30 50 55 40 20

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

Find the correct answer from the alternatives given.

No. of trees planted by each student

1 - 3 4 - 6 7 - 9 10 - 12
No. of students 7 8 6 4

The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . . 


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

 

 


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?


Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 23 30 20 16

Construct histograms for following frequency distribution: 

Class Interval  130-140  140-150  150-160  160-170  170-180 
Frequency  24 16 29 20 11

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

Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5

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

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

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

Pocket expenses
(in ₹)
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.


In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

How many people use the cell phone for less than 3 hours?


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 top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

Maximum Speed (km/h) Frequency
10 – 20 5
20 – 30 5
30 – 40 10
40 – 50 8
50 – 60 0
60 – 70 2

Draw a histogram for the following data.

Class interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 30 98 80 58 29 50

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×