The following are the marks (out of 100) of 60 students in mathematics.
16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30. Construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the classes is $10 - 20$ (20 not included).

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Solution

Class
Interval f

0-10 4

10-20 7

20-30 5

30-40 10

40-50 5

50-60 8

60-70 5

70-80 8

80-90 5

90-100 3

Total = 60

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Similar questions

Q. The following are the marks (out of 100) of 60 students in Mathematics.
16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35,
72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55,
26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30.
Construct a grouped frequency distribution table with width 10 of each class starting from 0 - 9.

Question 1
The following are the marks (out of 100) of 60 students in Mathematics.
16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35,
72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55,
26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30.
Construct a grouped frequency distribution table with width 10 of each class starting from 0 - 9.

Q. In a village, the milk was collected from 50 milkmen at a collection center in litres as given below :

27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.

By taking suitable classes, prepare grouped frequency distribution table.

The marks scored by 40 students of class IX in mathematics are given below:
$\begin{matrix} 81, & 55, & 68, & 79, & 85, & 43, & 29, & 68, & 54, & 73, & 47, 35, & 72, & 64, & 95, & 44, & 50, & 77, & 64, & 35, & 79, & 52, 45, & 54, & 70, & 83, & 62, & 64 & 72, & 92, & 84, & 76 & 63 43, & 54, & 38, & 73, & 68, & 52, & 54 \end{matrix}$
Prepare a frequency distribution with class size of 10 marks.

Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

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Class Interval	f
0-10	4
10-20	7
20-30	5
30-40	10
40-50	5
50-60	8
60-70	5
70-80	8
80-90	5
90-100	3
Total =	60

Class Interval f 0-10 4 10-20 7 20-30 5 30-40 10 40-50 5 50-60 8 60-70 5 70-80 8 80-90 5 90-100 3 Total = 60

Class
Interval f

0-10 4

10-20 7

20-30 5

30-40 10

40-50 5

50-60 8

60-70 5

70-80 8

80-90 5

90-100 3

Total = 60