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Given Below is the Frequency Distribution of Driving Speeds (In Km/Hour) of The Vehicles of 400 College Students - Algebra Mathematics 1

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प्रश्न

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.

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उत्तर

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2014-2015 (March)

संबंधित प्रश्न

Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(1) Which group has the maximum number of workers?

(2) How many workers earn Rs 850 and more?

(3) How many workers earn less than Rs 850?


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

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

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

The table below shows the yield of jowar per acre. Show the data by histogram.

Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9  10 - 11
No. of farmers 30 50 55 40 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?

Find the correct answer from the alternatives given.

No. of trees planted by each student

1 - 3 4 - 6 7 - 9 10 - 12
No. of students 7 8 6 4

The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . . 


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

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

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?


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

Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5

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.


The time taken, in seconds, to solve a problem for each of 25 persons is as follows:

16 20 26 27 28
30 33 37 38 40
42 43 46 46 47
48 49 50 53 58
59 60 64 52 20

(i) Construct a frequency distribution for these data using a class interval of 10 seconds.
(ii) In a school the weekly pocket money of 50 students is as follow's:

Weekly pocket money (₹) No. of student
40 - 50 2
59 - 60 8
60 - 70 12
70 - 80 14
80 - 90 8
90 - 100 6

Draw a histogram and a frequency polygon on the same graph. Find mode from the graph.


Histogram is a graph of a ________ frequency distribution


Draw a histogram and the frequency polygon in the same diagram to represent the following data

Weight (in kg) 50 − 55 56 − 61 62 − 67 68 − 73 74 − 79 80 − 85 86 − 91
No. of persons 15 8 12 17 9 10 6

The height of a rectangle in a histogram shows the ______.


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 ______.


In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.


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