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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

No, there are no outliers in the data.
No, there are no outliers in the data.

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

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

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

To determine whether there are any outliers in the scatterplot data described, we need to examine the distribution of the plotted points.

The points listed are:

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

When looking at the y-values for the x-value of 74, we see:

  • (74, 200) is at the lower end of the y-range (200-240) while most other points have y-values concentrated higher (around 210-240).
  • (74, 240) is significantly high compared to the others.

For the x-value of 65, the point (65, 205) seems to fit well with the trends seen in points for x-values of 67, 68, and others, which gradually increase.

The most apparent outlier is (74, 200) since it stands out as significantly lower than most other y-values for x-values close to 74.

Therefore:

Yes, at (74, 200) is the correct response indicating it is an outlier in the dataset.