Question

The table below shows a set of data. Data x y 6 71 7 68 7.5 69 7.5 65 8 63 8.25 62 8.25 64 9 60 9.5 61 Which of the following points, if added to the table, would be an outlier? (7, 73) (7.5, 70) (8, 35) (8.5, 66)

Answer 1

The outlier would be:

(8,35)

Step-by-step explanation:

We are given a data set as:

x y

6 71

7 68

7.5 69

7.5 65

8 63

8.25 62

8.25 64

9 60

9.5 61

Clearly when we add the points given in options to our data we see that the points (7, 73) (7.5, 70) (8.5, 66) are closely related to the data set except (8,35).

Since, the value y=35 is much low as compared to the other data points.

Hence, it will stand out in the plot as compared to other points.

Hence, the point which is an outlier is:

(8,35)

Answer 2

Answer: The points (8, 35) if added to the table, would be an outlier.

Step-by-step explanation:

We are given the below table:

x y

6 71

7 68

7.5 69

7.5 65

8 63

8.25 62

8.25 64

9 60

9.5 61

If we add these values to the given data and plot the scatter plot. We clearly see the points (8,35) stand outlier.

The scatter plot is attached here: