2. During the medical check-up of 35 students of a class, their weights were recorded as follows:
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.
Taking upper-class interval on the x-axis and their respective frequencies on the y-axis,
Marking a point on the curve whose ordinate is 17.5 gives an x-ordinate= 46.5.
Hence, the Median of the data is 46.5
Now,
Weight (Class) |
Frequency |
Cumulative Frequency |
>38 | 0 | 0 |
38-40 | 3 | 3 |
40-42 | 2 | 5 |
42-44 | 4 | 9 |
44-46 | 5 | 14 |
46-48 | 14 | 28 |
48-50 | 4 | 32 |
50-52 | 3 | 35 |
Median class = 46-48; Lower limit, l = 46;
Cumulative frequency of preceding class, c.f. = 14; f = 14; h = 2
Thus, the median using formula is 46.5 which verifies the result.