Question

afterschool activities
which statement best describes the spread and distribution of the data?
the data is symmetric with an approximate range of 12. the most frequent number of activities is 22, which might mean that there was a lot of funding available for students to participate.
the data is skewed with an approximate range of 12. the most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular.
the data is bimodal with an approximate range of 12. the most frequent number of activities was either 10 or 22, which might mean that the activities vary in each school.
the data is symmetric with an approximate range of 12. the most frequent number of activities was 16, which might mean about half of the students in each class participated.

Explanation:

1. Analyze symmetry: The dot plot (afterschool activities) has dots symmetrically placed around the middle (e.g., 10 and 22, 12 and 20, 14 and 18, 16 is central). So the data is symmetric.
2. Calculate range: Max value (22) - Min value (10) = 12, so range is approximately 12.
3. Analyze mode: A bimodal distribution has two modes (most frequent values). Here, 10 and 22 (or other symmetric pairs) have the same frequency (dots), so the data is bimodal with modes around 10 and 22, meaning activities vary per school (different schools might have different popular activity counts).
4. Evaluate other options:

• First option: Mode isn't 22 (multiple values have same frequency, and 22 isn't the only mode), so wrong.
• Third option: Data is symmetric, not skewed, so wrong.
• Fourth option: Mode isn't 16 (16 has one dot, while 10,12,14,18,20,22 have dots too, and symmetric pairs have same count), so wrong.

Answer:

The data is bimodal with an approximate range of 12. The most frequent number of activities was either 10 or 22, which might mean that the activities vary in each school.