A grouped frequency distribution table with classes of equal sizes using $63 - 72$ $(72$ included $)$ as one of the class 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:

9

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10

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11

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12

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Solution

The correct option is A $9$
If one the classes is $63 - 72$ then the range of the class is $10$ $(72$ included $)$
Range of the given data points $= 112 - 30 = 82$
Number of classes $= \frac{82}{10} = 8.2$
Classes required will be $9$ after round off.

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Similar questions

Q. Question 9
A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class 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:

A) 9
B) 10
C) 11
D) 12

Q. 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 _________.

Q. Question 8
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, 318

406, 292, 354, 278, 210, 240, 330, 316,
406, 215, 258, 236.

The frequency of class 310 - 330 is:

A) 4
B) 5
C) 6
D) 7

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Question 2
Refer to Question above, construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the class is 10 - 20 (20 not included).

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

The correct option is A 9If one the classes is 63−72 then the range of the class is 10 (72 included)Range of the given data points =112−30=82Number of classes =8210=8.2Classes required will be 9 after round off.

The correct option is A $9$
If one the classes is $63 - 72$ then the range of the class is $10$ $(72$ included $)$
Range of the given data points $= 112 - 30 = 82$
Number of classes $= \frac{82}{10} = 8.2$
Classes required will be $9$ after round off.