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Inclusive Method and Exclusive Method

Construct a f...

Question

Construct a frequency distribution with a class interval of 4 on exclusive basis for the following data:

91, 94, 111, 121, 95, 103, 99, 110, 100, 101, 92, 105, 110, 111, 93, 96, 98, 106, 94, 115

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Solution

$\begin{matrix} C.I. & Tally Bars & f 90 - 94 & | | | & 3 94 - 98 & | | | | & 4 98 - 102 & | | | | & 4 102 - 106 & | | & 2 106 - 110 & | & 1 110 - 114 & | | | | & 4 114 - 118 & | & 1 118 - 122 & | & 1 20 \end{matrix}$

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Q. Construct a frequency distribution table with class interval of 5 for the following data:
2,4,8,11,14,16,20,28,25,40,30,48,5,22,29,13,22,17,17,7.

Q. In the following grouped frequency distribution table class marks are given.

Class Marks	$10$	$22$	$34$	$46$	$58$	$70$
Frequency	$6$	$14$	$20$	$21$	$9$	$5$

(i) Construct class intervals of the data. (Exclusive class intervals)
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Q. A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5

3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7

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starting from the interval

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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:
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Q. A grouped frequency distribution table with classes of equal size, using 63-72 (72 included) as one of the classes, is constructed for the following data:
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