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A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class intervals is constructed for the following data :

268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236.

The frequency of the class 310-330 is:

\\(A)\; 4\\(B)\; 5\\(C)\; 6\\(D)\; 7

Answers (1)

Answer : C

Firstly we will arrange the given data into intervals of equal sizes as mentioned i.e., 210-230, 230-250 and so on.

The given data can be arranged as:
\\210-230: 220, 210, 215\\ 230-250: 242, 240, 236\\ 250-270: 258, 268, 258

\\270-290: 272, 278\\ 290-310: 290, 304, 300, 292\\ 310-330: 310, 310, 320, 319, 318, 316\\ 330-350: 342, 330\\ 350-370: 368, 354

370-390: No element

390-410: 402, 406, 406,

So, we can see that 6 is the frequency of 310-330..

Therefore option (C) is correct.

 

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