Question

4) If the data below contained an outlier, which coordinate would best represent the outlier?

(MGSE8.SP.1)

100

90

80

70

60

50

Weight

(kgs)

40

30

20

10

0

0

200

250

100 150

Height (cms)

A. (150, 60)

B. (50,20)

C. (200, 100)

D. (250, 80)

Answer 1

D. (250, 80)

Explanation:

a) Outliers are values that "lie outside" the other values in a dataset, because their values are "far away" from the main group of data.

b) In this case, the values of A, B, and C have ratios of their coordinates of about 2.5, but the coordinate ratio of D is more than 3. This makes it to lie far away from the group of data, and therefore an outliner.

c) The Ratios of the Coordinate Values are calculated as follows: A = 2.5 (150/60), B = 2.5 (50/20), C = 2 (200/100), while D = 3.125 (250/80).