Use the image to answer the question.

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

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

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

No, there are no outliers in the data.

Answer 1

To determine if there are any outliers in the scatterplot, we would typically look for points that do not conform to the general trend of the other points plotted.

From the description of the data:

• The points are generally clustered around certain y-values for specific x-values, with a few points noticeably lower or higher than the others.
• The points at (74, 200) and (74, 240) stand out because they are significantly lower or higher than the other points in the dataset.

Considering this information, the point (74, 200) is particularly distant from the cluster of other points as it is quite low compared to the surrounding values for x-values near 74.

Thus, the answer likely points to the presence of outliers. Therefore, the correct response would be:

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