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which of the distributions is right skewed? 1 2 3 4 5 6 7 8 9 10 11 20 …

Question

which of the distributions is right skewed? 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 30 31 32 33 34 35 36 37 38 39 40 41

Explanation:

Step1: Recall the definition of right - skewed distribution

A right - skewed distribution (positively skewed) has a longer tail on the right side. The majority of the data is concentrated on the left side of the distribution.

Step2: Analyze each histogram

  • For the first histogram (x - axis: 1 - 11): The tail is not clearly on the right.
  • For the second histogram (x - axis: 20 - 31): The tail is on the right. The data is concentrated on the left (values 20 - 26) and has a long tail towards the right (values 28 - 31).
  • For the third histogram (x - axis: 1 - 12): The tail is not the most prominent on the right compared to the second one.
  • For the fourth histogram (x - axis: 30 - 41): It is more symmetric or has a very short tail.

Answer:

The second histogram (the one with x - axis from 20 to 31) is right - skewed.