हिंदी

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 No of Schools 5 12 14 18 10 9 4

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प्रश्न

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
No of Schools 5 12 14 18 10 9 4
संक्षेप में उत्तर
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उत्तर

To represent the given data by a histogram, we first draw horizontal and vertical axes. Let us consider that the horizontal and vertical axes represent the class-limits and the frequencies of the class-intervals respectively.

The given data is a continuous grouped frequency distribution with equal class-intervals. Construct rectangles with class-intervals as bases and respective frequencies as heights. It should be noted that the scale for horizontal axis may not be same as the scale for vertical axis. Let us take one vertical division is equal to 3 rupees.

The heights of the different rectangles are as following

1. The height of the rectangle corresponding to the class-interval 30-60 is `5/3=1.66` big divisions.

2. The height of the rectangle corresponding to the class-interval 60-90 is `12/3 = 4` big divisions.

3. The height of the rectangle corresponding to the class-interval 90-120 is  `14/3 = 4.66 ` big divisions.

4. The height of the rectangle corresponding to the class-interval 120-150 is `18/3=6` big divisions.

5. The height of the rectangle corresponding to the class-interval 150-180 is  `10/30= 3.33`  big divisions.

6. The height of the rectangle corresponding to the class-interval 180-210 is  `9/3 = 3` big divisions.

7. The height of the rectangle corresponding to the class-interval 210-240 is `4/3 = 1.33` big divisions.

The histogram of the given data is the following:

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अध्याय 23: Graphical Representation of Statistical Data - Exercise 23.3 [पृष्ठ ४१]

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आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 23 Graphical Representation of Statistical Data
Exercise 23.3 | Q 1 | पृष्ठ ४१

वीडियो ट्यूटोरियलVIEW ALL [2]

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A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 - 44 (in years) worldwide, found the following figures (in %):-

S.No. Causes Female fatality rate (%)
1. Reproductive health conditions 31.8
2. Neuropsychiatric conditions 25.4
3. Injuries 12.4
4. Cardiovascular conditions 4.3
5. Respiratory conditions 4.1
6. Other causes 22.0
  1. Represent the information given above graphically.
  2. Which condition is the major cause of women’s ill health and death worldwide?
  3. Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

Read the bar graph given in Fig. 23.21 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) What is the number of families having 6 members?
(iii) How many members per family are there in the maximum number of families? Also tell the number of such families.
(iv) What are the number of members per family for which the number of families are equal? Also, tell the number of such families?


Explain the reading and interpretation of bar graphs.


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56 60 61 74 98

Represent the above data with the help of a bar graph.


The income and expenditure for 5 years of a family is given in the following data:

Years 1995-96 1996-97 1997-98 1998-99 1999-2000
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Represent the above data by a gar graph.


The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.

Height (in cm): 124
to
128
128
to
132
132
to
136
136
to
140
140
to
144
144
to
148
148
to
152
152
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156
156
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160
160
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Draw a suitable bar graph.


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Draw a bar graph for the above data.


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Draw a bar graph for the above data.


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