A scatterplot shows height versus weight.

Question

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

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

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

(64,125)

Answer 1

To determine which point is the outlier in the scatterplot described, we should analyze the relationships between the height and weight of the plotted points.

You mentioned that there is a plot at (61, 95) and another at (60, 154), along with a cluster between (60, 115) and (64, 135). Based on this description:

• The point (61, 95) is significantly lower in weight compared to what would be expected based on the trend of the other points in the loosely packed cluster (which seem to have weights around 115 to 135 for similar heights).

• The point (60, 154) has a weight that is quite high compared to the other plotted points, but it is not mentioned as part of the options.

Considering the options provided:

• (60, 123)
• (63, 122)
• (61, 95) (this one appears to be the outlier as it falls well below the expected weight for that height)
• (64, 125)

The point (61, 95) stands out as being an outlier in the context of the cluster of other data points gathered around heights of 60 to 64.

Thus, the outlier is (61, 95).