मराठी

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 Frequency 9 17 15 20 14

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प्रश्न

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
Frequency 9 17 15 20 14
बेरीज
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उत्तर

Steps : 

1. Find class mark by calculating the average of the class interval.

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

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

4. plot the points on the graph. (15,9),(30,17),(50,15),(70,20),(90,14).

5. Mark two more midpoints of zero frequency on x-axis at the start and at the end .

6. Now connect the points using staright lines.

Class Interval Class mark Frequency
10-20 `= (10+20)/2 = 15` 9
20-40 `= (20+40)/2 = 30` 17
40-60 `= (40+60)/2 = 50` 15
60-80 `= (60 + 80)/2 = 70` 20
80-100 `= (80 + 100)/2 = 90` 14

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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 3.02

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Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:

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Draw Histogram and hence the frequency polygon for the above data.


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Answer the following

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2) How many students watched TV for less than 4 hours?

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Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
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Frequency 8 12 10 16 6

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

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Form a continuous frequency distribution table and draw histogram from the following data.

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Try yourself

  • Next time when you watch your favourite TV programme, count the number of advertisements during each break. Use tally marks. Put a dot below the tally when you find children in any advertisement.
  • Compare with your friends. Do you get different answers?

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