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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 (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

Yes, at (74, 200)

1 answer

To identify outliers in the scatterplot, we look for points that are significantly distant from the overall pattern of the other points.

From the provided points:

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

The points at (74, 200) and (74, 240) are situated at the extremes of the y-axis range (200-240) while most other points cluster closer in the upper mid-range. These points show a considerable deviation from the trend set by the other plotted points.

Among these, (74, 200) is especially low when compared to other higher values in the plot.

Thus, the likely outliers are:

Yes, at (74, 200).