Mathematics
For the following distribution :
Class | Frequency |
---|---|
0 - 5 | 10 |
5 - 10 | 15 |
10 - 15 | 12 |
15 - 20 | 20 |
20 - 25 | 9 |
The sum of lower limits of the median class and modal class is
15
25
30
35
Measures of Central Tendency
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Answer
We construct the cumulative frequency distribution table as under :
Class | Frequency | Cumulative frequency |
---|---|---|
0 - 5 | 10 | 10 |
5 - 10 | 15 | 25 |
10 - 15 | 12 | 37 |
15 - 20 | 20 | 57 |
20 - 25 | 9 | 66 |
Here n (total no. of observations) = 66.
As n is even,
∴ Median = (th observation + ()th observation) / 2
As observation from 26th to 37th lie in the class 10 - 15,
∴ Median class = 10 - 15.
Since the class 15 - 20 has highest frequency i.e. 20.
∴ Modal class = 15 - 20.
Sum of lower limit of median and modal class = 10 + 15 = 25.
Hence, Option 2 is the correct option.
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