APFIVE Interpreting Proportions in a Histogram
The area under a histogram for a variable z is distributed as follows: 20% between $$z = -2$$ and $$z = -1$$, 40% between $$z = -1$$ and $$z = 0$$, 10% between $$z = 0$$ and $$z = 1$$, and 30% between $$z = 1$$ and $$z = 2$$. Which of the following statements must be true?
A
The histogram indicates that 30% of the area lies between $$z=-1$$ and $$z=0$$, suggesting that 60% lies to the right of $$z=0$$.
B
The total area from $$z=0$$ to $$z=2$$ is 50%, so the area between $$z=+1$$ and $$z=+2$$ must be 20%.
C
The area under the histogram between $$z=+1$$ and $$z=+2$$ is 30%, and 60% of the area lies to the left of $$z=0$$.
D
The area under the histogram between $$z=+1$$ and $$z=+2$$ is 10%, and 70% of the area lies to the left of $$z=0$$.
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