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

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

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पाठ 2: Data Handling - Exercise [पृष्ठ ५३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 2 Data Handling
Exercise | Q 94. | पृष्ठ ५३

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संबंधित 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

 


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 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

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

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

Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


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

Find the value of x. Also draw a histogram representing the above information.


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

Draw a histogram and frequency polygon to represent the following data (on the same scale) which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living Index Number of months
440 - 460 2
460 - 480 4
480 - 500 3
500 - 520 5
520 - 540 3
540 - 560 2
560 - 580 1
580 - 600 4
Total  24

Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.

Class Frequency
0 - 5 2
5 - 10 7
10 - 15 18
15 - 20 10
20 - 25 8
25 - 30 5
Total 24

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


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 people use the cell phone for less than 3 hours?


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.

Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60
No. of students 5 15 23 20 10 7

The graphical representation of grouped data is _________


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?

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?

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

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