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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

What will be the number of classes in the distribution?

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a

11

b

12

c

10

d

9

answer is B.

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Detailed Solution

detailed_solution_thumbnail

Given one of the class interval is 63-72. Therefore the class width is 9.

According to the data, the lowest number given is 14 and the highest number given is 112.  Therefore the frequency distribution is

Class intervalFrequency
13-224
23-322
33-423
43-523
53-621
63-722
73-825
83-923
93-1023
103-1124

Therefore the number of class intervals is 10.

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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, 44What will be the number of classes in the distribution?