The marks scored in a test of Marathi are recorded as follows.

41, 48, 46, 31, 46,25, 37,43, 55, 38, 18, 41, 55, 46, 58, 42, 23, 35, 41, 31, 45, 26, 11, 46, 43, 53, 47, 56, 46, 52, 20, 57, 41, 61, 71, 52, 66, 33, 43, 59, 55, 63, 57, 40, 43, 22, 58, 74, 63, 53, 47, 32, 58, 39, 66, 45.
Prepare a grouped frequency distribution table. (take the classes 11-20, 21-30, ....)

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Solution

The frequency distribution table is given below:

Class Tally Marks Frequency (f)

11 $-$ 20 3

21 $-$ 30 4

31 $-$ 40 9

41 $-$ 50 20

51 $-$ 60 13

61 $-$ 70 5

71 $-$ 80 2

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Similar questions

Q. Marks of the 100 students are distributed in the grouped frequency distribution table.

Class marks (Marks)	150	160	170	180	190	200
No. of Students	23	14	16	11	21	15

What is the class interval for the group having frequency 11 ?

The following are the marks scored in a unit test (out of 25). Prepare a frequency distribution table, taking the class intervals as 0-4, 5-9, 10-14, 15-19, 20-24:

21, 14, 3, 7, 23, 18, 24, 16, 18, 17, 20, 10, 17, 18, 21, 23, 19, 12, 14, 9, 16, 18, 12, 14, 11.

From the table (i) find the mid-points of each class interval; (ii) find the class interval having maximum frequency; (iii) find the range of the scores.

Q. Forty eight apples are picked up at a random from a basket. Their weighs (in gms) are recorded as follows.
120, 125, 110, 115, 128, 130, 150, 145, 132, 128, 135, 129, 152, 145, 140,
143, 130, 122, 128, 135, 140, 145, 153, 155, 140, 142, 143, 145, 135, 130,
135, 128, 150, 152, 138, 142, 126, 138, 140, 145, 152, 125, 115, 158, 155,
138, 144, 150.

Prepare a grouped frequency distribution table, taking suitable class intervals.

Prepare a frequency distribution table for the scores given:

42, 22, 55, 18, 50, 10, 33, 29, 17, 29, 29, 27, 34, 15, 40, 42, 40, 41, 35, 27,

44, 31, 38, 19, 54, 55, 38, 19, 20, 30, 42, 59, 15, 19, 27, 23, 40, 32, 28, 51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60.

From the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

Q. The daily maximum temperature in degree celcius of a city for a certain month was recorded as follows. Choosing suitable classes, prepare a grouped frequency distribution table.

\begin{matrix} 30.6, & 31.5, & 32.9, & 33.2, & 31.6, & 30.3, & 34.7, & 35.0, & 32.5, & 33.5, \\ 34.2, & 36.9, & 32.1, & 31.0, & 29.2, & 29.0, & 28.1, & 28.5, & 32.9, & 29.3, \\ 30.2, & 31.4, & 30.0, & 32.0, & 32.2, & 33.0, & 32.5, & 33.9, & 34.5, & 35.5 . \end{matrix}

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Class	Tally Marks	Frequency (f)
11 $-$ 20		3
21 $-$ 30		4
31 $-$ 40		9
41 $-$ 50		20
51 $-$ 60		13
61 $-$ 70		5
71 $-$ 80		2

The frequency distribution table is given below: Class Tally Marks Frequency (f) 11-20 3 21-30 4 31-40 9 41-50 20 51-60 13 61-70 5 71-80 2

The frequency distribution table is given below:

Class Tally Marks Frequency (f)

11 $-$ 20 3

21 $-$ 30 4

31 $-$ 40 9

41 $-$ 50 20

51 $-$ 60 13

61 $-$ 70 5

71 $-$ 80 2