To accurately determine the median from a histogram, we typically need to know the frequencies of each bin. The median is the value that separates the higher half from the lower half of a data set.
Here's how you can estimate the median step-by-step:
-
Count the total number of observations represented in the histogram. This will help identify where the median falls.
-
Calculate the position of the median. The median position can be found using the formula: \[ \text{Median Position} = \frac{N+1}{2} \] where \( N \) is the total number of observations.
-
Cumulatively sum the frequencies of the bins until you reach the median position.
-
Identify the bin that contains the median position.
Since I cannot see the histogram or specific bin frequencies provided in your question, you would need to summarize or adjust your answer based on the counts in the bins.
Given the responses you listed, the median could fall into any of those specified bins (0-4.9, 5-9.9, 10-14.9, 15-19.9). You need the actual frequencies to make a confident conclusion.
However, if you have determined based on any calculations that a certain bin contains the median position, you would choose that as the correct response.