From the provided ogive of veterinary bills, how can we estimate the IQR of these expenses?

To estimate the interquartile range (IQR) of the veterinary bills using an ogive, one must first understand what the IQR represents. The IQR is the difference between the first quartile (Q1) and the third quartile (Q3) of a dataset, encompassing the range in which the middle 50% of the data lies.

When analyzing an ogive, which is a cumulative frequency graph, the first step is to identify the values of Q1 and Q3 from the graph. Q1 is the data value at which 25% of the observations fall below it, and Q3 is where 75% of the observations are below it.

Upon reading the ogive, if you find that Q1 corresponds to a specific value on the x-axis (let’s say at $100) and Q3 corresponds to another value on the x-axis (perhaps at $300), the IQR can be calculated by subtracting these two values:

IQR = Q3 - Q1.

In this case, if the values are such that Q1 is at $100 and Q3 is at $300, the calculation would be:

IQR = $300 - $100 = $200.

However,