Multiple Choice
Which of the following best describes the shape of a histogram that has most of its data concentrated on the left with a long tail extending to the right?
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2. Describing Data with Tables and Graphs
Histograms
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Which of the following best describes a histogram that is skewed to the left?
A
The histogram is symmetric with equal tails on both sides.
B
The histogram has a longer tail on the right side and most data values are concentrated on the left.
C
The histogram has bars of equal height across all intervals.
D
The histogram has a longer tail on the left side and most data values are concentrated on the right.
Verified step by step guidance1
Understand what skewness means in the context of a histogram: skewness describes the direction in which the tail of the distribution extends.
Recall that a histogram skewed to the left (also called negatively skewed) has a longer tail on the left side, meaning the lower values are more spread out.
Recognize that in a left-skewed histogram, most data values are concentrated on the right side (higher values), with fewer values trailing off to the left.
Compare the given options to this definition: the correct description should mention a longer tail on the left and concentration of data on the right.
Conclude that the best description of a left-skewed histogram is: 'The histogram has a longer tail on the left side and most data values are concentrated on the right.'
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