मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Show the Following Data by a Frequency Polygon.

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प्रश्न

Show the following data by a frequency polygon.
Electricity bill (₹) 0 - 200 200 - 400 400 - 600 600 - 800 800 - 1000
Families 240 300 450 350 160
तक्ता
आलेख
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उत्तर

Consider the following table.

Class
(Electricity bill in Rupees)
Class Mark Frequency 
(Number of families)
0 - 200 100 240
200 - 400 300 300
400 - 600 500 450
600 - 800 700 350
800 - 1000 900 160

The frequency polygon using the class mark and frequency given in the above table as

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Statistics - Practice Set 6.5 [पृष्ठ १५७]

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बालभारती Algebra Mathematics 1 [English] Standard 10 Maharashtra State Board
पाठ 6 Statistics
Practice Set 6.5 | Q 2 | पृष्ठ १५७

संबंधित 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.


A Mathematics aptitude test of 50 students was recorded as follows:

Marks 50 - 60 60 - 70 70 - 80 80 - 90 90 – 100
No. of Students 4 8 14 19 5

Draw a histogram from the above data using a graph paper and locate the mode.


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

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

Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes) 60 - 80 80 - 100 100 - 120 120 - 140 140 - 160
No. of students 14 20 24 22 16

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
Result (Percentage) 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 80 - 90 90 - 100
No. of students 7 33 45 65 47 18 5

The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

Age group (Years) 20-25 25-30 30-35 35-40
No of persons 80 60 35 25

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  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 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.


(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Pocket expenses
(in ₹)
Number of students
(frequency)
0 - 5 10
5 - 10 14
10 - 15 28
15 - 20 42
20 - 25 50
25 - 30 30
30 - 35 14
35 - 40 12

Draw a histogram representing the above distribution and estimate the mode from the graph.


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


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 people use the cell phone for less than 3 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

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


The total number of people surveyed is ______.


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 following table shows the classification of percentage of marks of students and the number of students. Draw frequency polygon from the table without drawing histogram:

Result (Percentage) Number of Students
20 - 40 25
40 - 60 65
60 - 80 80
80 - 100 15

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