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Use the ima ge 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?

(1 point)
Responses

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

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

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

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

To identify the outlier in the scatterplot, we need to look for the point that is significantly different from the other plotted points.

From the description:

  • The point (61, 95) is plotted relatively low in weight compared to the height.
  • The other points, including (60, 154), form a cluster around similar heights and weights, particularly between 60 to 64 inches tall and weights between 115 to 135 pounds.
  • The points (63, 122) and (64, 125) also fit well within that cluster.

The point (61, 95) stands out because it has a significantly lower weight compared to the other points in the vicinity of that height.

Thus, the outlier is:

(61, 95).