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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

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

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

(63,122)
left parenthesis 63 comma 122 right parenthesis
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Answer 1

To identify the outlier among the points mentioned, we need to analyze the distribution of the data points and see which one doesn't fit the general pattern.

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

Now, let's evaluate the points provided:

1. (60, 123): This point falls within the cluster.
2. (61, 95): This point has a weight that is significantly lower than the cluster, making it an outlier.
3. (64, 125): This point also falls within the cluster.
4. (63, 122): This point falls within the cluster too.

Based on this analysis, the outlier is (61, 95), as it deviates significantly from the other points in that area.