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Use the image to answer the 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.

Option #___ is the true statement.

1 answer

Without the actual image of the bar graph, I cannot definitively determine the relationship between the mean and median of the data presented. However, I can provide some guidance on how to analyze the graph to determine which option is correct:

  1. Mean: This is the average of all values and is influenced by extreme values (outliers).
  2. Median: This is the middle value when all values are sorted in order and is less influenced by outliers.

To determine the relationship between the mean and median using the bar graph, you can follow these steps:

  • If the graph is skewed to the right (positively skewed), the mean will typically be greater than the median (Option #1).
  • If the graph is skewed to the left (negatively skewed), the mean will typically be less than the median (Option #2).
  • If the graph is symmetrical, the mean and median will be approximately equal (Option #3).

Observe the shape of the bars and their distribution across the horizontal axis to select the correct option. If you can provide a description of the bar graph, I may help you further.