To determine the shape of the distribution for the javelin throw distances of the three contestants based on the scores provided, we would typically analyze the data more thoroughly for patterns.
However, from a preliminary examination of the scores:
- Alan: 83, 80, 85, ...
- Barney: 78, 82, 81, ...
- Clark: 86, 79, 86, ...
Based on the provided data, the distances seem to be clustered around a central range, with some higher and lower values possibly indicating variability in performance.
To classify the distribution:
- Roughly symmetric could mean that the distribution appears balanced on either side around the mean.
- Left-skewed (or negatively skewed) means that the left tail (lower values) is longer or fatter than the right tail (higher values).
- Right-skewed (or positively skewed) means that the right tail (higher values) is longer or fatter than the left tail (lower values).
- Uniformly distributed means that all values are equally likely, leading to a flat appearance.
Given that you have provided a series of scores (without clear counts or specific totals), and to make a choice we'd typically rely on visual representation (histogram or box plot).
However, if the overall scores for the three contestants suggest that there are some higher values concentrated and some lower values following with a central tendency, without concrete data skewness indicators in front of us, one might lean toward:
A. Roughly symmetric as a plausible initial assumption, since many values are around the average (80s) with some variability noted.
If there are specifics regarding the extremes being much lower or higher than the middle values (which we don’t definitively see here), the other options may apply more accurately. In this case, a visual analysis of a histogram would clarify better.
Based on the typical context of sports performance, if there are no extreme outliers influencing the overall spread significantly, go with A. Roughly symmetric.