Q13. A histogram of review_count is heavily right-skewed (long tail to the right). What does this imply?

Question

BlackTom AI · Accepted Answer

A right-skewed (positively skewed) distribution has its long tail to the right, which means most of the data values are clustered at lower counts while a smaller number of observations take much larger values.

1. Relevant concepts
- Skewness: right (positive) skew means the tail extends to larger values.  
- Central tendency: in right-skewed data the mean is typically greater than the median because the large values pull the mean to the right.  
- Shape implications: most observations lie toward the left (lower values) and a few large outliers form the right tail.

2. Step-by-step reasoning
- The histogram shows a concentration of bars on the left and a long tail on the right. That visual pattern corresponds to many low review_count observations and a few very high review_count observations.  
- Because those few high values lie far from the bulk, they disproportionately raise the average (mean), but the median (middle value) remains near the bulk of the low values.

3. Calculations (intermediate steps) — simple numeric illustration
- Example dataset: {1, 2, 2, 3, 100}.  
- Sum = 1 + 2 + 2 + 3 + 100 = 108. Number of observations n = 5. Mean = 108 / 5 = 21.6.  
- Median = middle value when ordered = 2.  
- Range = 100 − 1 = 99. This shows a few large values raise the mean and produce large dispersion.

4. Why the correct answer is correct
- The example and the histogram interpretation show most counts are small (cluster left) while a few very large counts produce the long right tail. That description matches "Most observations have low review counts, with a few very large values."

5. Why other options are incorrect
- "Most observations have very high review counts": false — the mass is on the left (low counts).  
- "The distribution is symmetric": false — symmetry would have no long tail.  
- "The mean is smaller than the median": false — for right skew mean > median (as shown in the example).  
- "The data has low dispersion": false — the long right tail indicates high dispersion (large range and influence of outliers).

6. Conclusion
The correct interpretation is: Most observations have low review counts, with a few very large values, which matches the provided answer.

Q13. A histogram of review_count is heavily right-skewed (long tail to the right). What does this imply?单项选择题

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