मराठी

Construct Histograms for Following Frequency Distribution: Class Mark 6 12 18 24 30 36 Frequency 8 12 15 18 25 7

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प्रश्न

Construct histograms for following frequency distribution: 

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

Steps : 

a. Make the class intervals continuous by taking class mark as midpoints.

b. On the x-axis, take 1 cm as 5 units and plot class interval.

c. On the y-axis , take 1 cm as 5 units and plot frequency.

d. Draw rectangles of histogram as per given data.

Class Interval Frequency
3-9 8
9-15 12
15-21 15
21-27 18
27-33 25
33-39 7

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पाठ 23: Graphical Representations - Exercise

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फ्रँक Mathematics Part 2 [English] Class 10 ICSE
पाठ 23 Graphical Representations
Exercise | Q 1.06

संबंधित प्रश्‍न

Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.


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

Following table present educational level (middle stage) of females in Arunachal pradesh according to 1981 census:

Age group Number of females
(to the nearest ten)
10 - 14 300
15 - 19 980
20 - 24 800
25 - 29 380
30 - 34 290

Draw a histogram to represent the above data.


Identify the following data can be represented in a histogram?

The number of students in each class of a school


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

Construct a histogram from the following distribution of total marks of 40 students in a class.

Marks 90 − 110 110 − 130 130 − 150 150 − 170 170 − 190 190 − 210
No. of Students 9 5 10 7 4 6

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

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 ______.


Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis]

Daily wages (in ₹) 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80
No. of Workers 6 12 20 15 9

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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