Question

the stemplot below represents the number of bite - size snacks grabbed by 32 students in an activity for a statistics class. which of the following best describes the shape of this distribution?
○ skewed to the left
○ bimodal symmetric
○ skewed to the right
○ unimodal symmetric
number of snacks
1|5 5 6 6 6 7 7 8 8 8 8 9 9
2|0 0 0 1 1 1 2 2 3 3 7 9 9 9
3|2 2 4 8
4|2
key: 2|4 is a student who grabbed 24 snacks.

Explanation:

• Skewed to the left: A left - skewed distribution has a long tail on the left. In this stemplot, the tail is on the right.
• Bimodal symmetric: A bimodal distribution has two peaks. Here, there is only one peak (the mode is around the values in the stem \(1\) and \(2\) but not two distinct peaks).
• Skewed to the right: A right - skewed distribution has a long tail on the right. In the stemplot, most of the data is concentrated on the left (stems \(1\) and \(2\)) and there is a long tail on the right (stems \(3\) and \(4\)).
• Unimodal symmetric: A symmetric unimodal distribution has the data evenly distributed around the center. This stemplot is not symmetric.

Answer:

skewed to the right