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

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

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Chapter 2: Data Handling - Exercise [Page 53]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 2 Data Handling
Exercise | Q 92. | Page 53

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Represent the following data by Histogram:

Price of Sugar per kg

         (in Rs.)

       Number of Weeks
18-20 4
20-22 8
22-24 22
24-26 12
26-28 8
28-30 6

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 histogram for the following frequency distributions: 

Class Interval  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

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

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

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 for the daily earnings of 30 drug stores in the following table:

Daily earnings (in Rs): 450−500 500−550 550−600 600−650 650−700
Numbers of stores: 16 10 7 3 1

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

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

Shoe size  5 6 7 8 9 10 11
Frequency 8 1 7 14 11 5 4

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10

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

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.


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?


The marks obtained by 50 students in Mathematics are given below.

(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

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


The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

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20 – 30 5
30 – 40 10
40 – 50 8
50 – 60 0
60 – 70 2

Look at the histogram below and answer the questions that follow.

  1. How many students have height more than or equal to 135 cm but less than 150 cm?
  2. Which class interval has the least number of students?
  3. What is the class size?
  4. How many students have height less than 140 cm?

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


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