Question

lydia collected two sets of data.
set 1\tset 2
17\t81
13\t80
18\t94
51\t78
21\t95
one set of data shows an outlier. which set has an outlier, and which number is the outlier?
○ set 1 contains an outlier. the outlier is 51.
○ set 1 contains an outlier. the outlier is 13.
○ set 2 contains an outlier. the outlier is 78.
○ set 2 contains an outlier. the outlier is 95.

Explanation:

Step1: Order Set 1 values

$13, 17, 18, 21, 51$

Step2: Order Set 2 values

$78, 80, 81, 94, 95$

Step3: Analyze Set 1 spread

Most values are 13-21; 51 is far outside this range.

Step4: Analyze Set 2 spread

Values cluster closely (78-95, no extreme outlier).

Answer:

Set 1 contains an outlier. The outlier is 51.