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
(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
(63,122)
left parenthesis 63 comma 122 right parenthesis
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The outlier in the scatterplot is the point (61, 95).
To determine the outlier, we need to identify the point that does not fit the general trend or pattern of the data. In this scatterplot, there is a loosely packed cluster of data plotted between 60 to 64 on the horizontal axis and 115 to 135 on the vertical axis.
The points given as options are:
- (64, 125)
- (61, 95)
- (60, 123)
- (63, 122)
By comparing these points to the cluster, we can see that all of them are close to or within the general trend. However, the point (61, 95) does not seem to fit the cluster as well as the others, as it is located further away from the main grouping of data points.
Therefore, the outlier is (61, 95).
To determine the outlier, we need to identify the point that is significantly different from the rest of the data. In this case, the scatterplot shows a loosely packed cluster of data plots between 60 to 64 on the horizontal axis and 115 to 135 on the vertical axis.
Let's compare the given points to this cluster:
- (64,125): This point falls within the cluster range.
- (61,95): This point falls within the cluster range.
- (60,123): This point falls within the cluster range.
- (63,122): This point falls within the cluster range.
Based on the information provided, none of the given points appear to be outliers.