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NCERT Exemplar Solutions Class 9 Mathematics Solutions for Statistics and Probability - Exercise 14.1 in Chapter 14 - Statistics and Probability
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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, 44.
The number of classes in the distribution will be :
(A) 9
(B) 10
(C) 11
(D) 12
Answer:
(B) 10
Explanation:
According to the question,
The given frequency varies from 14 to 112.
So the class intervals are as follows:
13-22, 23-32, 33-42, 43-52, 53-62, 63-72, 73-82, 83-92, 93-102, 103-112.
Number of class interval = 10.
Hence, option (B) is the correct answer.
Video transcript
"hello students
welcome to the lead our solving session
and in today's video session we are
going to solve
one more question related to frequency
distribution
all right so i'm going to read the
question first
a grouped frequency distribution table
with classes of equal size using
63 to 72 okay we are going to include 72
as well
right so 72 included as
one of the class is constructed for the
following data
right so the data is given here
all right so we have to find out okay
the number of the classes
in the distribution okay so how many
classes will be there for the given data
all right so now let's solve this
question
okay so okay if you carefully observe
the data so
okay we'll see that okay so basically
if you check the data so according to
a given data given
data okay
frequency frequency
okay frequency varies
from
okay 14 to
112 right okay so frequency is varying
from 14 to 120 right
okay and okay one of the data is given
here okay
one um okay interval is given here
right so
okay that interval is okay class one
class interval is given here
okay so class interval
okay given class interval that is
63 272 right
okay that means okay
size of the each class
size will be 72
minus 63 okay which is equals to
9 right that means in each class
interval
nine um observations will be there
all right okay so that's why
okay the class interval
the class
interval
class intervals okay we can construct
as follows
okay so the first is
first interval will be 13
to 22 all right
now next is 23
to 32
okay with the size of 9
then 33 to
42
then 43 to
52
then 53 to
62
okay then 63
272
and 73 to
82 the next class will be
83 to 92
then 93 to
102
okay and the last class will be 103 to
112 right that means
okay total classes
total classes
okay will be 10
all right okay and that's why
option b is
correct answer all right so that's all
about today's session
if you have any doubt please leave the
comment below and please subscribe to
this channel
thanks for watching the video bye
"
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