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

Draw Histogram and Hence the Frequency Polygon for the Following Frequency Distribution: - Algebra Mathematics 1

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प्रश्न

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
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उत्तर

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2015-2016 (July)

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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

The number of hours for which students of a particular class watched television during holidays is shown through the given graph.

Answer the following

1) For how many hours did the maximum number of students watch TV?

2) How many students watched TV for less than 4 hours?

3) How many students spent more than 5 hours in watching TV?


In the following table, the investment made by 210 families is shown. Present it in the form of a histogram.

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

Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

Age group (Years) 20-25 25-30 30-35 35-40
No of persons 80 60 35 25

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.


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  0-10 10-20 20-30 30-40 40-50 50-60
Frequency  8 20 34 22 10 6

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

(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.


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

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

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

Represent the following data by histogram:

Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8

In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.


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


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

The following table shows the classification of percentage of marks of students and the number of students. Draw frequency polygon from the table without drawing histogram:

Result (Percentage) Number of Students
20 - 40 25
40 - 60 65
60 - 80 80
80 - 100 15

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