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Distribution of Height in Cm of 100 People is Given Below:Draw a Histogram to Represent the Above Data. - Mathematics

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प्रश्न

Distribution of height in cm of 100 people is given below:

Class interval (cm) Frequency
145 - 155 3
155 - 165 35
165 - 175 25
175 - 185 15
185 - 195 20
195 - 205 2

Draw a histogram to represent the above data.

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उत्तर

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अध्याय 19: Statistics - Graphical Depiction

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आईसीएसई Mathematics [English] Class 10
अध्याय 19 Statistics
Graphical Depiction | Q 10

संबंधित प्रश्न

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

For which of these would you use a histogram to show the data?

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number of cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.

Give reasons for each.


The weekly wages (in Rs) of 30 workers in a factory are.

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840

Using tally marks make a frequency table with intervals as 800 − 810, 810 − 820 and so on.


Draw histogram for the following frequency distributions: 

Class Interval  10 – 16 16 – 22 22 – 28 28 – 34 34 – 40
Frequency  15 23 30 20 16 

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.


The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:

(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?


Construct histograms for following frequency distribution: 

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  1-10  11-20  21-30  31-40  41-50 
Frequency  11 23 30 20 16

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

Represent the following data by histogram:

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

Identify the following data can be represented in a histogram?

The number of mountain climbers in the age group 20 to 60 in Tamil Nadu.


Identify the following data can be represented in a histogram?

The number of students in each class of a school


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

Form a continuous frequency distribution table and draw histogram from the following data.

Age (in years) No. of persons
Under 5 1
Under 10 12
Under 15 19
Under 20 26
Under 25 27
Under 30 35
Under 35 38
Under 40 45
Under 45 48
Under 50 53

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

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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