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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 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.

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; 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 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.

1 answer

To determine which dot plot includes an outlier, we can analyze the distribution of the data in each option.

  1. First dot plot: The values range from 1 to 7, with no data between. There are no entries for 3, 8, 9, 10, 11, 12, or 13. The dots cluster around lower numbers (1 to 7). There is no significant outlier.

  2. Second dot plot: Similar to the first, there are values ranging from 1 to 8, but no dots for above 8. The data is also clustered around 1 to 8, indicating no outlier.

  3. Third dot plot: Values are reported from 1 to 13 with a single dot at 13. All other values (1-7) have significantly larger frequencies. The value at 13 appears to be isolated – this is an outlier.

  4. Fourth dot plot: The values here range from 4 to 11, with no data below 4. It’s grouped around these mid-values, indicating no outlier.

Based on the analysis, the third dot plot with a single dot over 13 includes an outlier, as it is significantly higher than the other data points.