हिंदी

Represent the Following Data by Histogram: - Algebra

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प्रश्न

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
योग

उत्तर

shaalaa.com
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2015-2016 (July)

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संबंधित प्रश्न

The marks scored by students in Mathematics in a certain Examination are given below:

Marks Scored Number of Students
0 — 20 3
20 — 40 8
40 — 60 19
60 — 80 18
80 — 100 6

Draw histogram for the above data.


Draw 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 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 for the following frequency distributions: 

Class Interval  30 – 39 40 – 49 50 – 59 60 – 69 70 – 79
 Frequency  24 16 09 15 20

Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

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

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.


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

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?


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 Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 23 30 20 16

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

Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6

Represent the following data by histogram:

Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8

Try yourself

  • Next time when you watch your favourite TV programme, count the number of advertisements during each break. Use tally marks. Put a dot below the tally when you find children in any advertisement.
  • Compare with your friends. Do you get different answers?

The number of people owning books less than 40 is ______.


Draw a histogram for the following data.

Class interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 30 98 80 58 29 50

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 table given below shows the runs scored by a cricket team during the overs of a match.

Overs Runs scored
20 – 30 37
30 – 40 45
40 – 50 40
50 – 60 60
60 – 70 51
70 – 80 35

Use graph sheet for this question.

Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.

  1. Draw a histogram representing the above distribution.
  2. Estimate the modal runs scored.

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