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

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प्रश्न

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

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उत्तर

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

Explanation:

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

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पाठ 2: Data Handling - Exercise [पृष्ठ ४८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 2 Data Handling
Exercise | Q 55. | पृष्ठ ४८

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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?


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

 


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 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

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

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).


The following frequency distribution table shows marks obtained by 180 students in Mathematics examination. 

Marks  No. of students
0 - 10 25
10 - 20  x
20 - 30 30
30 - 40 2x
40 - 50 65

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

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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  130-140  140-150  150-160  160-170  170-180 
Frequency  24 16 29 20 11

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval 10-20 20-40 40-60 60-80 80-100
Frequency 9 17 15 20 14

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Price of sugar Per kg (in Rs)  Number of weeks 
28-30 4
30-32 8
32-34 22
34-36 12
36-38 6

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The number of students in each class of a school


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(i) Make a frequency distribution table taking a class size of 10 marks

(ii) Draw a histogram and a frequency polygon.

52 33 56 52 44 59 47 61 49 61
47 52 67 39 89 57 64 58 63 65
32 64 50 54 42 48 22 37 59 63
36 35 48 48 55 62 74 43 41 51
08 71 30 18 43 28 20 40 58 49

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Electricity bill (₹) Families
200 – 400 240
400 – 600 300
600 – 800 450
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1000 – 1200 160

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