for a given data with 50 observation less than ofive and more than ogive intersectat (30,25) find the median
To find the median using a less than ogive and a more than ogive, follow these steps:
Step 1: Plot the given point (30, 25) on a graph. This point represents the intersection where the less than ogive and more than ogive intersect.
Step 2: Determine the total number of observations from the given data. It is mentioned that there are 50 observations.
Step 3: Locate the point (30, 25) on the less than ogive. The y-coordinate (25) represents the cumulative frequency of values less than or equal to 30. Thus, there are 25 observations with values less than or equal to 30.
Step 4: Calculate the number of observations greater than 30. Since there are 50 total observations and 25 observations less than or equal to 30, there must be 50 - 25 = 25 observations greater than 30.
Step 5: Find the position of the median. The median is the value that splits the data in half, with an equal number of observations below and above it. In this case, there are 25 observations below the median and 25 observations above the median.
Step 6: Use the cumulative frequencies on both the less than ogive and the more than ogive to find the value of the median. Start from the intersection point (30, 25) and count 25 observations upwards on the more than ogive. The corresponding value will be the median.
By following these steps, you should be able to find the median using the given less than ogive and more than ogive intersecting at (30, 25).