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?

Answer 1

To determine if there are any outliers in the data, we can examine the points that seem to deviate significantly from the general pattern of the scatterplot.

In this case, the general pattern of the scatterplot seems to suggest a positive linear relationship between the x and y variables. The points follow a roughly increasing trend from left to right.

Looking at the plotted points, the point (74, 200) seems to deviate significantly from the general pattern of the scatterplot. The y-value of 200 is much lower compared to the neighboring points, which all have y-values above 210. This point can be considered an outlier.

(Note: Outliers may be further determined based on the specific criteria or statistical methods used, but based on visual inspection in this exercise, (74, 200) seems to be the only point that deviates significantly.)