Question

data were gathered from two groups and displayed in the stem - and - leaf plots. describe the shapes of the distributions of the two data sets. key: 1|2 represents 12 data set a: 1: 2 5 7 7 8 2: 0 0 1 4 7 8 9 3: 0 1 2 2 2 4 5 8 8 4: 1 2 3 3 3 4 5 7 8 9 9 5: 0 1 4 4 4 5 5 6 7 6: 1 2 3 4 key: 1|7 represents 17 data set b: 1: 7 2: 0 1 8 9 3: 2 3 5 5 4: 0 1 4 4 5 6 7 5: 1 2 2 3 3 4 5 6 7 8 9 6: 1 2 2 3 4 5 both data sets are approximately symmetrical. data set a is approximately symmetrical, while data set b is skewed left. both data sets are approximately symmetrical. data set a is approximately symmetrical, while data set b is skewed right. both data sets are skewed left.

Explanation:

Step1: Analyze Data Set A

In Data Set A, the data is more spread out on the left - hand side of the distribution. The lower values have more frequency and the tail extends to the left, so it is skewed left.

Step2: Analyze Data Set B

In Data Set B, the data is more spread out on the right - hand side of the distribution. The higher values have more frequency and the tail extends to the right, so it is skewed right.

Answer:

Data Set A is skewed left, while Data Set B is skewed right.