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

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

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प्रश्न

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
आलेख
बेरीज
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उत्तर

The given distribution is discontinuous.

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

= `50 - 1/2` (1) = 49.5

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

= `55 + 1/2` (1) = 55.5

∴ The continuous frequency table is as below.

Weight (in kg) 49.5 − 55.5 55.5 − 61.5 61.5 − 67.5 67.5 − 73.5 73.5 − 79.5 79.5 − 85.5 85.5 − 91.5
No. of persons 15 8 12 17 9 10 6

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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 4 | पृष्ठ २३०

संबंधित प्रश्‍न

The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

  1. Frame a frequency distribution table.
  2. To calculate mean.
  3. To determine the Modal class.


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.


In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).


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

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?
(ii) How many workers earn Rs 850 and more?
(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

Draw histogram and hence the frequency polygon for the following frequency distribution:

Rainfall (in cm) No. of years
20-25 2
25-30 5
30-35 8
35-40 12
40-45 10
45-50 7

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

Age (in years) No. of persons
Under 5 1
Under 10 12
Under 15 19
Under 20 26
Under 25 27
Under 30 35
Under 35 38
Under 40 45
Under 45 48
Under 50 53

Draw a histogram for the following data.

Mid Value (x) 15 25 35 45 55 65 75
Frequency (f) 12 24 30 18 26 10 8

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?

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