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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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

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प्रश्न

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

 

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उत्तर

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 : -

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2017-2018 (March) Set A

संबंधित प्रश्‍न

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Waiting time
(in seconds)
Number of
Customers
0 -30 15
30 - 60 23
60 - 90 64
90 - 120 50
120 - 150 5

Draw histogram for the following frequency distributions:

Class Marks  16 24 32 40 48 56 64
Frequency  8 12 15 18 25 19 10

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

(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?


The following histogram shows the monthly wages (in Rs) of workers in a factory:

(i) In which wage-group the largest number of workers are being kept? What is their number?
(ii)  What wages are the least number of workers getting? What is the number of such workers?
(iii) What is the total number of workers?
(iv) What is the factory size?


The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?


Construct histograms for following frequency distribution: 

Class Mark  6 12 18 24 30 36
Frequency 8 12 15 18 25 7

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10

Construct histograms for following frequency distribution: 

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

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

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.


Histogram is a graph of a ________ frequency distribution


Draw a histogram for the given frequency distribution

Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75
Frequency 4 9 17 25 15 8 2

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


The total number of people surveyed is ______.


From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.


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?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

  1. What is the class width?
  2. How many teachers are having the maximum teaching experience and how many have the least teaching experience?
  3. How many teachers have teaching experience of 10 to 20 years?

Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis]

Daily wages (in ₹) 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80
No. of Workers 6 12 20 15 9

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

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