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Which histogram best represents a dataset that is positively skewed? A - HSC - SSCE Mathematics Standard - Question 7 - 2020 - Paper 1
Question 7
Which histogram best represents a dataset that is positively skewed? A. B. C. D.
Worked Solution & Example Answer:Which histogram best represents a dataset that is positively skewed? A - HSC - SSCE Mathematics Standard - Question 7 - 2020 - Paper 1
Step 1
Identify Positive Skew
Answer
A positively skewed dataset, also known as right-skewed, has a longer tail on the right side. This means that the majority of the data points, or frequencies, will be concentrated on the left side of the histogram, with fewer observations in the higher score range.
Step 2
Analyze Each Option
Answer
In this question, we need to analyze each of the histograms provided:
- Option A: This histogram shows a peak on the left with a gradual decline towards the right, which is indicative of positive skew.
- Option B: This histogram is more balanced and does not show a clear skew.
- Option C: This histogram also appears to be somewhat uniform without a significant tail.
- Option D: Similar to option B, it does not show positive skew characteristics.
Step 3