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Maharashtra State BoardSSC (English Medium) 10th Standard

Represent the Following Data by Histogram

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Question

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
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Solution

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2013-2014 (March)

RELATED QUESTIONS

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.


Draw histogram for the following frequency distributions:

Class Marks  16 24 32 40 48 56 64
Frequency  8 12 15 18 25 19 10

The following table shows the investment made by some families. Show
the information by a histogran. 

Investment
(Thousand Rupees)
10-15 15-20 20-25 25-30 30-35
No. of families 30 50 60 55 15

 

 


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 frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?


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

Construct histograms for following frequency distribution: 

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

Draw a histogram for the following frequency distribution.

Use of electricity (Unit)
50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
No. of families 150 400 460 540 600 350

Draw the Histogram and hence, the frequency polygon for the following frequency distribution: 

House Rent (In ₹ per month) 400-600 600-800 800-1000 1000-1200
Number of families  200 240 300 50

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.


Draw a histogram to represent the following data:

Pocket money in ₹ No. of Students
150 - 200 10
200 - 250 5
250 - 300 7
300 - 350 4
350 - 400 3

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?


The graphical representation of ungrouped data is ________


Draw a histogram for the given frequency distribution

Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75
Frequency 4 9 17 25 15 8 2

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 following pictorial representation of data is a histogram.


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

  1. Write the classes assuming all the classes are of equal width.
  2. What is the classes width?
  3. In which age group are literate females the least?
  4. In which age group is the number of literate females the highest?

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