Use the image to answer the question.

Question

A bar graph titled Number of Extracurricular Activities has 5 bars. The horizontal axis is labeled Number of Extracurricular Activities, and the vertical axis is labeled Frequency.

Which of the following options is true about the relationship between the mean and median of the data in the graph?

Option #1: The mean is greater than the median.

Option #2: The mean is less than the median.

Option #3: The mean is equal to the median.

(1 point)
Option #
is the true statement.

Answer 1

Without being able to see the specific image or data in the bar graph, I can't provide a concrete answer. To determine whether the mean is greater than, less than, or equal to the median, you would need to analyze the distribution of the data represented in the graph.

Here's how you can assess the relationship:

1. Calculate the Mean: The mean is found by adding up all the values from the data points and dividing by the number of data points.

2. Determine the Median: The median is the middle value when all the data points are arranged in order. If there is an even number of data points, the median is the average of the two middle numbers.

3. Compare the Mean and Median:

   • If the mean is greater than the median, then option #1 is true.
   • If the mean is less than the median, then option #2 is true.
   • If the mean is equal to the median, then option #3 is true.

If you can analyze the graph based on this information, you should be able to select the correct option.