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

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

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

No, there are no outliers in the data.

1 answer

To determine if there are any outliers in the scatterplot described, we look for points that significantly deviate from the overall pattern of the other points.

From your description, we have the following points plotted:

  • (65, 205)
  • (67, 216)
  • (68, 210)
  • (68, 218)
  • (69, 224)
  • (70, 220)
  • (70, 224)
  • (71, 230)
  • (72, 235)
  • (74, 200)
  • (74, 240)

Most of these points appear to form a general upward trend. However, the points (74, 200) and (74, 240) stand out.

  1. (74, 200) is significantly lower than the other points around (74), particularly since points (70, 220) and (72, 235) are closer in x-value and have much higher y-values.
  2. (74, 240) is quite high, but it is at the edge of the increasing trend for larger values of x.

Given that (74, 200) deviates significantly downward from the trend, it is likely considered an outlier.

Therefore, the response would be:

Yes, at (74, 200).