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Maharashtra State BoardSSC (English Medium) 10th Standard

The Marks Scored by Students in Mathematics in a Certain Examination Are Given Below

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Question

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.

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Solution

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2015-2016 (March) Set C

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Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:

Speed (in km/hr) No. of Students
20-30 6
30-40 80
40-50 156
50-60 98

60-70
60

Draw Histogram and hence the frequency polygon for the above data.


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?


The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

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  3. To determine the Modal class.


Draw a histogram of the following data.

Height of student (cm) 135 - 140 140 - 145 145 - 150 150 - 155
No. of students 4 12 16 8

In the following table, the investment made by 210 families is shown. Present it in the form of a histogram.

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

Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

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.
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(v) In which age group literate females are the least?


The weekly wages (in Rs.) of 30 workers in a factory are given:
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
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
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Construct histograms for following frequency distribution: 

Class Mark  6 12 18 24 30 36
Frequency 8 12 15 18 25 7

Construct histograms for following frequency distribution: 

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

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

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

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.


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
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Identify the following data can be represented in a histogram?

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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


Histogram shows the number of people owning the different number of books. Answer the question based on it.


The number of people having books more than 20 and less than 40 is ______.


From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.


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