Question

the stemplot below represents the number of bite - size snacks grabbed by 37 students in an activity for a statistics class. number of snacks key: 2|4 is a student who grabbed 24 snacks. which of the following statements best describes the distribution? the distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. there are possible outliers at 38, 42, and 45. the distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. there are possible outliers at 38, 42, and 45. the distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. there are possible outliers at 38, 42, and 45. the distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. there are no outliers.

Explanation:

Step1: Analyze the stemplot data

The stemplot shows the number of snacks grabbed by 37 students. The data values range from around 10 - 40s. The majority of the data is clustered on the left - hand side of the distribution with fewer values on the right - hand side.

Step2: Determine the skewness

A distribution is skewed right if the tail of the distribution extends to the right (has larger values). Here, the tail extends to the right as there are fewer larger values. The center of the data seems to be around 18. There are possible outliers at the larger values (e.g., values in the 40s). The number of snacks grabbed ranges from 12 to 45.

Answer:

The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.