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

Open in App

Solution

The answer is B.
We arrange the given data into groups like 13 - 22, 23 - 32, ……….103 - 112.
(since our data is from 14 to 112). The class width, in this case, is 9.
Now, the given data can be arranged in tabular form as follows.

$\begin{matrix} C l a s s i n t e r v a l & T a l l y m a r k s & F r e q u e n c y 13 - 22 & | | | | & 4 23 - 32 & | | & 2 33 - 42 & | | | & 3 43 - 52 & | | | & 3 53 - 62 & | & 1 63 - 72 & | | & 2 73 - 82 & / | | | | & 5 83 - 92 & | | | & 3 93 - 102 & | | | & 3 103 - 112 & | | | | & 4 \end{matrix}$

Hence, the number of classes in distribution will be 10.

Suggest Corrections

Similar questions

Q. 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:

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

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 _________.

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).

Join BYJU'S Learning Program