Mathematics
If the classes of a frequency distribution are 1 - 10, 11 - 20, 21 - 30, …., 51 - 60, then the size of each class is
9
10
11
5.5
Measures of Central Tendency
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Answer
On converting the class from discontinuous intervals into continuous intervals.
Adjustment factor = (Lower limt of one class - Upper limit of previous class) / 2
Classes before adjustment | Classes after adjustment |
---|---|
1 - 10 | 0.5 - 10.5 |
11 - 20 | 10.5 - 20.5 |
21 - 30 | 20.5 - 30.5 |
31 - 40 | 30.5 - 40.5 |
41 - 50 | 40.5 - 50.5 |
51 - 60 | 50.5 - 60.5 |
Class interval = 10.5 - 0.5 = 10.
Hence, Option 2 is the correct option.
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Related Questions
The following distribution represents the height of 160 students of a school.
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(i) The median height.
(ii) The inter quartile range.
(iii) The number of students whose height is above 172 cm.
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If the classes of a frequency distribution are 1 - 10, 11 - 20, 21 - 30, ….., 61 - 70, then the upper limit of the class 11 - 20 is
20
21
19.5
20.5
In a grouped frequency distribution, the mid-values of the classes are used to measure which of the following central tendency?
median
mode
mean
all of these