Which dot plot includes an outlier?(1 point)

Responses

An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.

An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.

An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.

An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.
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1 answer

To identify which dot plot includes an outlier, we need to look for a point that is significantly different from the others. Outliers are often much lower or higher than the other values in a data set.

  1. First Dot Plot: The data points are clustered from 4 to 11, with no values less than 4 or greater than 11. No outlier present.
  2. Second Dot Plot: The data points are clustered from 1 to 7, with a single dot at 13, which is much higher than the rest. This indicates the presence of an outlier.
  3. Third Dot Plot: The data points range from 1 to 8, so no outlier present.
  4. Fourth Dot Plot: The data points are clustered from 1 to 7, with no outliers present.

Based on this analysis, the second dot plot includes an outlier (the dot over 13).