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

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

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

Yes, at (65, 205)

1 answer

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

The approximate plotted points are:

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

Analyzing the points:

  • Most points cluster around x values from about 67 to 72, with y values gradually increasing.
  • The point (74, 200) is low in comparison to the points around (70 to 74) which are primarily above 210.
  • The point (74, 240) is high in comparison to the surrounding points.

Among these, (74, 240) and (74, 200) are both outliers because they deviate from the trend of increasing y values with x values.

Thus, the correct response regarding the outlier is:

Yes, at (74, 240) and Yes, at (74, 200).

However, since you are asking for a single option, the clear outlier that stands out the most amongst that specific value range is:

Yes, at (74, 240).