Mathematics
If in a grouped frequency distribution, the class intervals are 20 - 29, 30 - 39, 40 - 49, …., then the observation 29.4 is included in the class :
20 - 29
30 - 39
40 - 49
29 - 30
Statistics
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Answer
Given class intervals are in inclusive form but the observation is in decimal form (29.4).
So convert the inclusive form into exclusive form.
Gap between the classes = 30 - 29 = 1
Adjustment factor = 0.5
So new class boundaries become
19.5 - 29.5, 29.5 - 39.5, 39.5 - 49.5, …,
29.4 lies between the class-interval 19.5 - 29.5.
19.5 - 29.5 is the exclusive form of 20 - 29.
Hence, option 1 is the correct option.
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Related Questions
Convert the following frequency distribution to exclusive form :
Class Interval Frequency 30 – 34 7 35 – 39 9 40 – 44 13 45 – 49 6 50 – 54 3 55 – 59 10 Use this table to find :
(i) The true class-limits of the fourth class-interval.
(ii) The class-boundaries of the fifth class-interval.
(iii) The class-mark of the third class-interval.
(iv) The class-size of the sixth class-interval.
If in a grouped frequency distribution, the classes are 20 - 30, 30 - 40, 40 - 50, …, then the observation 40 is included in the class :
30 - 40
40 - 50
50 - 60
20 - 30
The classes of a frequency distribution are 30 -34, 35 - 39, …, 50 - 54. The lower boundary of the class 35 - 39 is :
30.5
35
34.5
39
In a grouped frequency distribution, the class interval are 40 - 49, 50 - 59, …, 80 - 89. The upper boundary of the class (50 - 59) is :
59
59.5
49.5
60