Question

Use the image to answer the 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

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

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

To determine if there are any outliers in the scatterplot data provided, we need to identify points that deviate significantly from the overall pattern or trend of the other points.

The 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)

Looking at the y-values in relation to the x-values, the majority of the points cluster around a certain range (from around 210 to 240 for x-values from 68 to 72).

The points (74, 200) and (74, 240) are notably lower and higher, respectively, compared to the clustering of other points for the x-value of 74.

Analyzing the points:

  • (74, 200) falls well below the trend line observed for other points with similar x-value.
  • (74, 240) is an outlier on the upper range but there are points close to it.

Given these observations, (74, 200) is distinctly lower than the majority of the plotted data.

So, the appropriate response is: Yes, at (74, 200).