For the following data, a grouped frequency table with equal - sized class intervals is constructed using 250 - 270 (270 not included in this interval) as one of the class intervals - 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. What is the frequency of the 310 - 330 class?

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answer is C.

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Detailed Solution

Given, 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236.
The frequency of class 310 - 330 means that the number of data comes in 310 - 330, and 330 is not included in this interval.
A grouped frequency table with class intervals of equal sizes using 250 - 270 and 270 is not included in this interval) as one of the class intervals is constructed for the data, 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. Hence, only 6 data that are 310, 310, 320, 319, 318, 316 comes in intervals 310 - 330.
So, the frequency of the class 310 - 330 is 6.
So option 3 is correct.

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