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Question

An illustration of a scatterplot shows x on x-axis from 65 to 75 in increments of 1 and y on the y-axis from 200 to 240 in increments of 2.5. Eleven points are plotted. The approximate plotted points are as follows: left parenthesis 65 comma 205 right parenthesis, left parenthesis 67 comma 216 right parenthesis, left parenthesis 68 comma 210 right parenthesis, left parenthesis 68 comma 218 right parenthesis, left parenthesis 69 comma 224 right parenthesis, left parenthesis 70 comma 220 right parenthesis, left parenthesis 70 comma 224 right parenthesis, left parenthesis 71 comma 230 right parenthesis, left parenthesis 72 comma 235 right parenthesis, left parenthesis 74 comma 200 right parenthesis, and left parenthesis 74 comma 240 right parenthesis.

Are there any outliers in the data shown on the scatterplot? If so, where?

(1 point)
Responses

Yes, at (74, 200)
Yes, at left parenthesis 74 comma 200 right parenthesis

No, there are no outliers in the data.
No, there are no outliers in the data.

Yes, at (65, 205)
Yes, at left parenthesis 65 comma 205 right parenthesis

Yes, at (74, 240)
Yes, at left parenthesis 74 comma 240 right parenthesis
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Answer 1

Based on the description of the scatterplot, it seems that the points (74, 200) and (74, 240) are significantly lower and higher in value, respectively, compared to the other data points. The point (74, 200) is particularly low in the context of the other y-values, especially since there are no other points in the 200s range.

Therefore, the presence of data points (74, 200) and (74, 240) suggests that there may be outliers. However, (74, 240) seems more consistent with the upward trend in y-values as x increases and may not be considered an outlier.

Thus, the most likely outlier in the given scatterplot is:

Yes, at (74, 200).