Ask a New Question
Menu

Use the image to answer the question.

A scatterplot shows height versus weight.
The horizontal axis shows height, in inches, ranging from 0 to 70 in increments of 5, starting with a jump from 0 to 50. The vertical axis shows the weight, in pounds, ranging from 0 to 160 in increments of 5, starting with a jump from 0 to 90. A kink is shown on both horizontal and vertical axis close to origin. A dot is plotted at 61 in the horizontal axis and 95 on the vertical axis, and also 60 on the horizontal axis and 154 on the vertical axis. A loosely packed cluster of data plots is plotted between 60 to 64 on the horizontal axis and 115 and 135 on the vertical axis.

A teacher took an anonymous survey in one class and then posted the students’ heights and weights on a scatterplot. What point is the outlier?

A. (63,122)
B. (64,125)
C. (61,95)
D. (60,123)

1 answer

To identify the outlier in the given data points, we should look for a point that is significantly different from the others in the scatterplot.

Based on your description:

  • The point (61, 95) has a relatively lower weight compared to the other heights, especially considering that there is a cluster of points showing weights ranging from 115 to 135 for heights around 60 to 64 inches.
  • The point (60, 154) also appears to be higher than the majority of the points.

Since we have those details:

  • Point A (63,122) is relatively aligned with the general trend.
  • Point B (64,125) follows the trend as well.
  • Point C (61,95) stands out with a much lower weight compared to the other points around the same height.
  • Point D (60,123) fits within the range of the cluster and does not appear as an outlier.

Based on this analysis, the outlier is C. (61, 95).