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

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table. Result (Percentage) 30 - 40 40 - 50 50 - 60 60 - Algebra Mathematics 1

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प्रश्न

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
Result (Percentage) 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 80 - 90 90 - 100
No. of students 7 33 45 65 47 18 5
आलेख
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उत्तर

Consider the following table:

Class
(Result in %)
Class Mark Frequency 
(Number of students)
Coordinates of points
20 - 30 25 0 (25, 0)
30 - 40 35 7 (35, 7)
40 - 50 45 33 (45, 33)
50 - 60 55 45 (55, 45)
60 - 70 65 65 (65, 65)
70 - 80 75 47 (75, 47)
80 - 90 85 18 (85, 18)
90 - 100 95 5 (95, 5)
100 - 110 105 0 (105, 0)

The frequency polygon using the class mark and frequency given in the above table
 
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पाठ 6: Statistics - Practice Set 6.5 [पृष्ठ १५७]

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बालभारती Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
पाठ 6 Statistics
Practice Set 6.5 | Q 3 | पृष्ठ १५७

संबंधित प्रश्‍न

The marks scored by students in Mathematics in a certain Examination are given below:

Marks Scored Number of Students
0 — 20 3
20 — 40 8
40 — 60 19
60 — 80 18
80 — 100 6

Draw histogram for the above data.


The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning

W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.


Show the following data by a frequency polygon.
Electricity bill (₹) 0 - 200 200 - 400 400 - 600 600 - 800 800 - 1000
Families 240 300 450 350 160

The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram. 

Class-mark of marks 325 375 425 475 525 575
No. of students 25 35 45 40 32 20

Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.


Construct a histogram for the following data:

Monthly school fee (in Rs): 30−60 60−90 90−120 120−150 150−180 180−210 210−240
Number of schools: 5 12 14 18 10 9 4

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 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 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

The marks scored by students in Mathematics in a certain examination are given below :

Marks Scored Number of Students
0 - 20  6
20 - 40 9
40 - 60 14
60 - 80 16
80 - 100 5

Draw histogram for the above data.


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

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


The graphical representation of grouped data is _________


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

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 ______.


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


Prepare a histogram from the frequency distribution table obtained in question 93.


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?

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