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During the medical check-up of 35 students of a class their weights were recorded as follows:Weight (in kg)38 − 40 40 − 42 42 − 44 44 − 46 46 − 48 48 − 50 50 − 52 Number of students32451443Draw a less than than type ogive from the given data. Hence obtain the median weight from the graph. |
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Answer» Given : medical check-up of 35 students of a class their weights were recorded To Find : Draw a less than type and a more than type ogive from the given data. Hence obtain the median weight from the graph Solution: Weight (in KG) f Less than More than 38 − 40 3 3 35 40 − 42 2 5 32 42 − 44 4 9 30 44 − 46 5 14 26 46 − 48 14 28 21 48 − 50 4 32 7 50 − 52 3 35 3 Median is 46.5 kg from graph from formula : 46 + 2 * (17.5 - 14)/14 = 46 + 0.5 = 46.5
Less than ogive The points with the UPPER limits of the class are PLOTTED on x axis and the corresponding less than cumulative frequencies on y axis. The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive More than ogive The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis. The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive Learn More: Draw a less than and more than ogive in the same graph and find ... Draw more than ogive for following frequency distribution and hence ... |
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