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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

Draw a histogram for the given frequency distribution Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75 Frequency 4 9 17 25 15 8 2

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प्रश्न

Draw a histogram for the given frequency distribution

Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75
Frequency 4 9 17 25 15 8 2
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बेरीज
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उत्तर

The given distribution is discontinuous.

Lower boundary = lower limit – `1/2` (gap between the adjacent class interval)

= `41 - 1/2` (1) = 40.5

Upper boundary = Upper limit + `1/2` (gap between the adjacent class interval)

= `45 + 1/2` (1) = 45.5

Now continuous frequency table is as below

Age 40.5 −  45.5 45.5 − 50.5 50.5 − 55.5 55.5 − 60.5 60.5 − 65.5 65.5 − 70.5 70.5 − 75.5
Frequency 4 9 17 25 15 8 2

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पाठ 6: Statistics - Exercise 6.3 [पृष्ठ २३०]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 6 Statistics
Exercise 6.3 | Q 3 | पृष्ठ २३०

संबंधित प्रश्‍न

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

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

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

Draw a histogram representing the above data.


Construct a histogram for the following data:

Monthly school fee (in Rs): 30−60 60−90 90−120 120−150 150−180 180−210 210−240
Number of schools: 5 12 14 18 10 9 4

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10

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

From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.


Look at the histogram below and answer the questions that follow.

  1. How many students have height more than or equal to 135 cm but less than 150 cm?
  2. Which class interval has the least number of students?
  3. What is the class size?
  4. How many students have height less than 140 cm?

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

  1. Write the classes assuming all the classes are of equal width.
  2. What is the classes width?
  3. In which age group are literate females the least?
  4. In which age group is the number of literate females the highest?

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