Use the image to answer the question.

Three dot plots labeled as A, B, and C each have a number line with arrows at both ends. Vertical columns of closed dots are plotted above certain numbers.

Using the image, determine which data distribution would use the median as the most appropriate measure of center.

Option #1: Image A


Option #2: Image B


Option #3: Image C

(1 point)
Option #
is the dot plot with a distribution in which the median is the most appropriate measure of center.
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1 answer

To determine which dot plot uses the median as the most appropriate measure of center, we typically look for one with a skewed distribution or outliers. The median is less affected by extreme values compared to the mean.

While I can't see the image directly, here are general guidelines:

  • If any of the plots have a long tail on one side or a few significantly high or low values (outliers), that plot would likely use the median as a better measure of center.
  • If the distribution is symmetrical or roughly normal without outliers, then the mean could be more appropriate.

Based on that reasoning:

  • Review each dot plot.
  • Identify any skewness or outliers.
  • The plot that shows signs of skewness or irregular distribution would be the one where the median is more suitable.

Please analyze the plots accordingly and choose the one that fits this description.