Scatter Plots Quick Check

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Question
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?

(1 point)
Responses

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

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

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

(63,122)

1 answer

In the context of the scatterplot described, an outlier is a data point that significantly deviates from the overall trend of the other points.

Given the points you mentioned:

  • (60, 123)
  • (64, 125)
  • (61, 95)
  • (63, 122)

You noted that there is a loosely packed cluster of data points between heights of 60-64 inches and weights of 115-135 pounds. The point (61, 95) stands out as significantly lower in weight compared to the other points, which are clustered around a higher weight range for similar heights.

Therefore, the outlier in this case is (61, 95).