Question

practice analyzing data sets.
which of the distributions is left skewed?
12 24 36 48 60 72 84 96 108 120
22 33 44 55 66 77 88 99 110 121
78 80 82 84 86 88 90 92 94 96 98 100
60 64 68 72 76 80 84 88 92 96 100

Explanation:

Step1: Recall the definition of left - skewed distribution

A left - skewed distribution has a longer tail on the left side.

Step2: Analyze each histogram

• For the first histogram: The tail is not clearly on the left.
• For the second histogram: The tail is not on the left.
• For the third histogram: The tail is on the left side (values like 92, 94, 96, 98 have lower frequencies and are on the left side of the "peak" of the histogram).
• For the fourth histogram: The tail is not on the left.

Answer:

The third distribution (the one with \(x -\) values \(78,80,82,84,86,88,90,92,94,96,98,100\)) is left - skewed.