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Grouped Frequency Distribution

Prepare group...

Question

Prepare grouped frequency distribution table by using the data given in example 1.
(Use classes : 11 − 20, 21 − 30, 31 − 40, ....., 71 − 80)

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Solution

The frequency distribution table is given below:

Class Frequency Tally Marks

11 $-$ 20 2

21 $-$ 30 6

31 $-$ 40 11

41 $-$ 50 17

51 $-$ 60 13

61 $-$ 70 9

71 $-$ 80 4

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Q. Collect the data of weights of students in your class. prepare a grouped frequency distribution table.

Q. A grouped frequency distribution table with classes of equal size, using 63-72 (72 included) as one of the classes, is constructed for the following data:
30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44
The number of classes in the distribution will be __________.

Q. Prepare an ungrouped frequency distribution table using the following data.

\begin{matrix} 14, & 16, & 23, & 23, & 25, & 28, & 29, & 30, & 33, & 37, & 37, & 38, & 38, & 38, & 40, & 40, & 40, & 40, & 40, & 41, & 41, \\ 42, & 43, & 44, & 44, & 44, & 45, & 46, & 46, & 47, & 47, & 48, & 49, & 49, & 50, & 50, & 51, & 51, & 52, & 52, & 52, & 55, \\ 55, & 56, & 56, & 56, & 58, & 59, & 60, & 61, & 61, & 62, & 63, & 65, & 66, & 67, & 68, & 68, & 71, & 72, & 73, & 73 . \end{matrix}

Q. The marks obtained (out of 20) by 30 students of a class in a test are given below:
7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14, 20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17.
Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in 3–8 (including 2 and excluding 8). From the frequency distribution table so obtained, draw a histogram.

Q. 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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