Which dot plot includes an outlier?(1 point)

Question

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 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.

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.
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.

Answer 1

In the context of dot plots, an outlier is typically defined as a data point that is significantly different from the rest of the data points.

Let's analyze each of the provided dot plots:

1. First Plot:

   • Dots: 1 (1), 4 (2), 2 (3), 4 (4), 3 (5), 4 (6), 3 (7), 1 (8).
   • No apparent outlier, as the values range from 1 to 8 with a fairly normal distribution.

2. Second Plot:

   • Dots: 2 (1), 4 (2), 0 (3), 4 (4), 3 (5), 4 (6), 3 (7).
   • Also no apparent outlier; the values range from 1 to 7.

3. Third Plot:

   • Dots: 2 (1), 4 (2), 2 (3), 4 (4), 3 (5), 4 (6), 3 (7), 1 (13).
   • Here, there is a dot at 13, which is significantly higher than the rest of the values (1 to 7). This indicates an outlier.

4. Fourth Plot:

   • Dots: 3 (4), 2 (5), 4 (6), 1 (7), 4 (8), 3 (9), 4 (10), 2 (11).
   • No apparent outlier, as the values range from 4 to 11.

Considering the analysis above, the third plot contains an outlier at the value 13.