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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?

(1 point)
Responses

(63,122)
left parenthesis 63 comma 122 right parenthesis

(64,125)
left parenthesis 64 comma 125 right parenthesis

(61,95)
left parenthesis 61 comma 95 right parenthesis

(60,123)
left parenthesis 60 comma 123 right parenthesis

1 answer

To identify the outlier in the scatterplot described, we need to focus on the general distribution of the data points.

From your description, the scatterplot has a dense cluster of data points between the heights of 60 to 64 inches and weights of 115 to 135 pounds.

Now let's evaluate the provided points:

  1. (63, 122) – This point falls within the dense cluster.
  2. (64, 125) – This point also falls within the dense cluster.
  3. (61, 95) – This point is much lower in weight compared to others in the cluster, thus could be considered as an outlier.
  4. (60, 123) – This point falls within the cluster.

Given that (61, 95) is significantly lower in weight compared to others close to that height, it would be classified as the outlier in this scatterplot.

Thus, the outlier is (61, 95).