Question

A data is represented using the classes
20-29, 30-39, ........,
120-129. What is
the length of the class interval 90-99 ?​

Answer 1

Answer:

length of class interval is 9

Answer 2

SOLUTION

GIVEN

A data is represented using the classes

20-29, 30-39, ........, 120-129.

TO DETERMINE

The length of the class interval 90 - 99

CONCEPT TO BE IMPLEMENTED

CLASS INTERVAL

When the number of sample values are large in number and are in wide range, then the whole data is divided in a number of several groups according to the size of the sample. Each of these groups, made as above, is known as class interval

CLASS LENGTH

Length of the class interval of an class is defined to be the difference between the lower and upper class boundaries ( not class limits) of that particular class interval.

Class length = Upper Class boundary - Lower class boundary

EVALUATION

Here the given classes are

20-29, 30-39, ...., 90 - 99, ...., 120-129.

Rearranging them in class boundaries we get

20.5 - 29.5 , 29.5 - 39. 5 , ... ,89.5 - 99.5, ....., 119.5 - 129.5

So For the class interval 90 - 99 , the class boundaries = 89.5 - 99.5

Upper Class boundary = 99.5

Lower class boundary = 89.5

∴ Class length

= Upper Class boundary - Lower class boundary

= 99.5 - 89.5

$= 10$

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