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 (74, 240)
(
74
,

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

Yes, at (74, 200)
(
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)

Answer 1

Based on the description of the scatterplot, we can identify potential outliers by looking for points that deviate significantly from the overall trend or pattern of the other points.

From the plotted points:

• (65, 205), (67, 216), (68, 210), (68, 218), (69, 224), (70, 220), (70, 224), (71, 230), (72, 235) follow a roughly increasing trend in y as x increases.
• However, the points (74, 200) and (74, 240) deviate from this trend, as they appear significantly lower and higher in y compared to other nearby points.

The point (74, 240) stands out because it is much higher than the other plotted points around that x value, making it a clear outlier.

Therefore, the answer is: Yes, at (74, 240).