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.
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Answer 1

Without the actual image of the bar graph, I cannot directly assess the data to determine the relationship between the mean and median. However, I can guide you on how to analyze the graph to find the correct option based on its characteristics.

1. Mean: The mean is affected by all the values, particularly the extreme values (outliers). If there are more high values than low values, the mean will be greater than the median.

2. Median: The median is simply the middle value of the dataset when arranged in order. It is not affected by outliers.

To determine the relationship between the mean and median based on the graph:

• If the bar graph has a skew toward lower values, the mean will likely be less than the median (Option #2).
• If it skews toward higher values, the mean will be greater than the median (Option #1).
• If the data is symmetric, the mean and median may be equal (Option #3).

Once you analyze the data in the graph, choose the appropriate statement based on the observations described above.