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

Observe the following frequency polygon and write the answers of the questions below it. Which class has the maximum number of students? Write the classes having zero frequency.

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प्रश्न

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?
टीपा लिहा
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उत्तर

  1. The class 60 - 70 has the maximum number of students, i.e., 60.
  2. The classes 20 - 30 and 90 - 100 have zero frequency.
  3. The class-mark of the class having frequency of 50 students is 55.
  4. The lower and upper class limits of the class having class marks of 85 are 80 and 90.
  5. Number of students in the class 80-90 are 15.
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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 1 | पृष्ठ १५७

संबंधित प्रश्‍न

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Waiting time
(in seconds)
Number of
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0 -30 15
30 - 60 23
60 - 90 64
90 - 120 50
120 - 150 5

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?


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

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

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

Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


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?


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:
(i) Which group has the maximum number of workers?
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(iii) How many workers earn less than Rs 850?


Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Marks  25 30 35 40 45 50
No. of students 6 15 12 10 18 9

Construct histograms for following frequency distribution: 

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

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

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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 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
Total 24

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The graphical representation of grouped data is _________


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Age (in years) No. of persons
Under 5 1
Under 10 12
Under 15 19
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Under 30 35
Under 35 38
Under 40 45
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Under 50 53

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The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions:

  1. Make a frequency table with respect to the class boundaries and their corresponding frequencies.
  2. State the modal class.
  3. Identify and note down the mode of the distribution.
  4. Find the number of plants whose height range is between 80 cm to 90 cm.

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