Question

5. The heights of 500 female students are measured, half of whom are college students and half of whom are second-grade students. How many modes would you expect for this distribution? Why? Would this distribution be symmetric, left-skewed, right-skewed or none of these? Why?

Answer 1

Using statistical concepts, it is found that:

• 2 modes would be expected for the distribution.
• The distribution would be symmetric.

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• Heights are traditionally normally distributed, which is a symmetric distribution.
• Second-grade students are considerably shorter than college students, so there would be two modes.
• Both distributions, for the height of second grade and of college students, are normal, which is symmetric, thus the combined distribution will also be symmetric.

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