Question

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
10
11
12
​

Answer 1

Given:- The given data is 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.

To find:- The number of classes in the distribution.

Solution:-

Given data frequency is vary from 14 - 112.

A grouped frequency distribution table with classes of equal sizes using 63-72.

So,the classes are :-

1) 13-22

2) 23-32

3) 33-42

4) 43-52

5)53-62

6) 63-72

7) 73-82

8) 83-92

9) 93-102

10) 103-112

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

Answer 2

Step-by-step explanation:

Given that: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

To find: The number of classes in the distribution will be *

9

10

11

12

Solution:

First make the table for classes as pet given instructions

$\begin{tabular}{|c|c|c|}\cline{1-2}Range&Frequency\\\cline{1-2}13-22&4\\\cline{1-2}23-32&2\\\cline{1-2}33-42&3\\\cline{1-2}43-52&3\\\cline{1-2}53-62&1\\\cline{1-2}63-72&2\\\cline{1-2}73-82&5\\\cline{1-2}83-92&3\\\cline{1-2}93-102&4\\\cline{1-2}103-112&3\\\cline{1-2}\end{tabular}$

The number of classes in the distribution are 10.

Option C is correct.

Hope it helps you.