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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, 240)
Yes, at left parenthesis 74 comma 240 right parenthesis

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

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

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

Based on the description of the scatterplot, the points plotted seem to have a general trend, with values for 'y' increasing as 'x' increases, except for the points at (74, 200) and (74, 240).

The point at (74, 200) is significantly lower than the other y-values for x-values close to 74, while the point at (74, 240) is significantly higher compared to the other y-values in that same x-range.

Thus, both points at (74, 200) and (74, 240) could be considered outliers, but only one of them needs to be specifically identified.

Therefore, the most accurate answer based on typical definitions of statistical outliers is:

Yes, at left parenthesis 74 comma 240 right parenthesis.

However, mentioning that (74, 200) could also be regarded as an outlier is a valid consideration based on the visual distribution of the data.