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Question

A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included) as one of the class interval is constructed for the following data:
268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 242, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236
The frequency of the class 310-330 is _________.

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Solution


The given class is 250–270 (270 is not included in the same class). So, the frequency distribution is to be formed by exclusive method. Here, the classes are continuous.

For the class 310–330, we take the observations between 310 and 330 including 310 and excluding 330.

The observations between 310 and 330 including 310 and excluding 330 in the given data are 310, 310, 320, 319, 318, 316.

So, the number of observations between 310 and 330 including 310 and excluding 330 in the given data is 6.

Thus, the frequency of the class 310–330 is 6.

The frequency of the class 310–330 is ____6____.

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