मराठी
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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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 a histogram of the following data.

Height of student (cm) 135 - 140 140 - 145 145 - 150 150 - 155
No. of students 4 12 16 8

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

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

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 . . . . 


Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

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

Draw a histogram to represent the following data:

Monthly salary (in Rs) Number of teachers
5600−5700 8
5700−5800 4
5800−5900 3
5900−6000 5
6000−6100 2
6100−6200 3
6200−6300 1
6300−6400 2

Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Marks  25 30 35 40 45 50
No. of students 6 15 12 10 18 9

Draw a histogram for the following frequency distribution.

Use of electricity (Unit)
50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
No. of families 150 400 460 540 600 350

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


The total area of the histogram is _________ to the total frequency of the given data


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 of them use the cell phone for more than 5 hours?


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

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


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?

The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions:

  1. Make a frequency table with respect to the class boundaries and their corresponding frequencies.
  2. State the modal class.
  3. Identify and note down the mode of the distribution.
  4. Find the number of plants whose height range is between 80 cm to 90 cm.

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