Mathematics
Construct the following frequency distribution :
Class | Frequency |
---|---|
0 - 5 | 13 |
6 - 11 | 10 |
12 - 17 | 15 |
18 - 23 | 8 |
24 - 29 | 11 |
The upper limit of the median class is
17
17.5
18
18.5
Measures of Central Tendency
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Answer
Converting the discontinuous interval into continuous interval.
Adjustment factor = (Lower limt of one class - Upper limit of previous class) / 2
We construct the cumulative frequency distribution table as under :
Classes before adjustment | Classes after adjustment | Frequency | Cumulative frequency |
---|---|---|---|
0 - 5 | 0 - 5.5 | 13 | 13 |
6 - 11 | 5.5 - 11.5 | 10 | 23 |
12 - 17 | 11.5 - 17.5 | 15 | 38 |
18 - 23 | 17.5 - 23.5 | 8 | 46 |
24 - 29 | 23.5 - 29.5 | 11 | 57 |
Here n (total no. of observations) = 57.
As n is odd,
As observation from 24th to 38th lies in the class 11.5 - 17.5
∴ Median class = 11.5 - 17.5, with upper limit = 17.5
Hence, Option 2 is the correct option.
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