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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 - Mathematics

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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
आलेख
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

The marks scored by students in Mathematics in a certain Examination are given below:

Marks Scored Number of Students
0 — 20 3
20 — 40 8
40 — 60 19
60 — 80 18
80 — 100 6

Draw histogram for the above data.


The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Waiting time
(in seconds)
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0 -30 15
30 - 60 23
60 - 90 64
90 - 120 50
120 - 150 5

Draw a histogram of the following data.

Height of student (cm) 135 - 140 140 - 145 145 - 150 150 - 155
No. of students 4 12 16 8

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
Result (Percentage) 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 80 - 90 90 - 100
No. of students 7 33 45 65 47 18 5

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

Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6

The marks scored by students in Mathematics in a certain examination are given below :

Marks Scored Number of Students
0 - 20  6
20 - 40 9
40 - 60 14
60 - 80 16
80 - 100 5

Draw histogram for the above data.


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.


Draw a histogram to represent the following data:

Pocket money in ₹ No. of Students
150 - 200 10
200 - 250 5
250 - 300 7
300 - 350 4
350 - 400 3

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Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8

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

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