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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination. 328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 3 - Mathematics

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Question

Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.

328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200

Sum
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Solution

Maximum mark obtained = 495

Minimum marks obtained = 157

Range = Maximum value – Minimum value

Range = 495 – 157

= 338

If we take the class size as 50 then the number of class intervals possible

= `"Range"/"Class size"`

= `338/50`

= 6.76 ≅ 7

Class Intervals Tally marks Frequency
150 - 200 || 2
200 - 250  ||| 3
250 - 300 |||| | 6
300 - 350  |||| 5
350 - 400 |||| || 7
400 - 450 |||| 4
450 - 500 ||| 3
Total 30
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Chapter 6: Statistics - Exercise 6.1 [Page 220]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 6 Statistics
Exercise 6.1 | Q 4 | Page 220

RELATED QUESTIONS

What is the upper class limit for the class 25-35?


The monthly maximum temperature of a city is given in degree celcius in the following data. By taking suitable classes, prepare the grouped frequency distribution table

29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2

From the table, answer the following questions.

  1. For how many days the maximum temperature was less than 34oC?
  2. For how many days the maximum temperature was 34oC or more than 34oC?

Construct a frequency table from the following data:

Marks No. of students
less than 10 6
less than 20 15
less than 30 30
less than 40 39
less than 50 53
less than 60 70

Construct a frequency distribution table from the following cumulative frequency distribution:

Class Interval Cumulative Frequency
10 - 19 8
20 - 29 19
30- 39 23
40- 49 30

Construct a cumulative frequency distribution table from the frequency table given below:
( i )

Class Interval Frequency
0 - 8  9
8 - 16  13
16 - 24  12
24 - 32  7
32 - 40  15

( ii )

Class Interval  Frequency 
1 - 10  12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10

In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2


If a class size is 10 and range is 80 then the number of classes are ___________


In the class interval 26 – 33, 33 is known as ______.


The class size of the interval 80 – 85 is ______.


Using the following frequency table.

Marks (obtained out of 10) 4 5 7 8 9 10
Frequency 5 10 8 6 12 9

The frequency of less than 8 marks is 29.


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