Question

based on the data represented in the back - to - back stem - and - leaf plot, which is true?
a. median at 61 for sample 2
b. median at 66 for sample 1
c. sample 1 and sample 2 distributions are symmetric
d. sample 1 and sample 2 distributions are skewed right
e. median at 63 for sample 2 and at 66 for sample 1

Explanation:

1. Analyze outliers: For Sample 1, most data clusters in the 20-60 range, with a single value at 94, which is an outlier. For Sample 2, most data clusters in the 10-60 range, with a single value at 81, which is an outlier.
2. Analyze skewness: Both samples have most data points on the lower end (left) and outliers on the higher end (right), so their distributions are right-skewed, not left-skewed.
3. Evaluate options: Option A only identifies one outlier, Option B only identifies one outlier, Option C incorrectly states left skew, Option D incorrectly states left skew, Option E correctly identifies both outliers.

Answer:

E. outlier at 81 for Sample 2 and at 94 for Sample 1