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Construct Histograms for Following Frequency Distribution: Class Interval 110-119 120-129 130-139 140-149 150-159 Frequency 15 23 30 20 16 - Mathematics

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प्रश्न

Construct histograms for following frequency distribution: 

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

उत्तर

Steps : 

a. Make the class intervals continuous by subtracting 0.5 from the lower limit of each class and add 0.5 to the upper limit of each class.

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

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
109.5-119.5 15
119.5-129.5 23
129.5-139.5 30
139.5-149.5 20
149.5-159.5 16

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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 1.04

संबंधित प्रश्‍न

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90 - 120 50
120 - 150 5

The weekly wages (in Rs) of 30 workers in a factory are.

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

Using tally marks make a frequency table with intervals as 800 − 810, 810 − 820 and so on.


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  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

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

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10 - 15 15 - 20 20 - 25 25 - 30 30 - 35
No. of families 30 50 60 55 15

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?

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
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No. of students 7 33 45 65 47 18 5

Find the correct answer from the alternatives given.

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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 . . . . 


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(i) Write the number of students getting the highest marks.
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Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6

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

Class Interval 10-20 20-40 40-60 60-80 80-100
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Draw histogram and hence the frequency polygon for the following frequency distribution:

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Histogram is a graphical representation of ___________ data


Histogram is a graph of a ________ frequency distribution


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Under 15 19
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