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, 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.

Yes, at (74, 240)
Yes, at left parenthesis 74 comma 240 right parenthesis
Skip to navigation

Answer 1

To determine if there are any outliers in the given scatterplot data, we will evaluate the plotted points relative to the overall trend of the other data points:

1. The majority of points appear to cluster around a certain range of x and y values.
2. Points (74, 200) and (74, 240) lie vertically far apart from other points.

• The point (74, 200) is at the low end of the y-axis when most other points are clustered around higher y values (220 to 240).
• The point (74, 240) lies at the higher end for that x-value, but is extreme and not representative of the trend among the other points.

Given this analysis, the most likely outlier is:

• Yes, at (74, 200)

Therefore, the correct response is: Yes, at (74, 200).