Question

1. birthrates one of the important factors in determining population growth rates is the birthrate per 1000 individuals in a population. the dot - plot shows the birthrates per 1000 individuals for 54 nations.

a. explain how the mean and median would compare.
b. which measure of center better describes a typical birthrate? explain.
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Explanation:

Part a

• The dot - plot is skewed to the right (has a long tail on the right side).
• For a right - skewed distribution, the mean is pulled in the direction of the skew (towards the larger values). The median is less affected by extreme values. So, the mean is greater than the median.

Part b

• The median is a better measure of center.
• The presence of a few relatively large birthrates (the right - skew) can greatly affect the mean. The median represents the middle value of the ordered data set and is not influenced as much by these extreme values, giving a more typical value for the birthrate.

Answer:

a. The mean is greater than the median because the distribution is right - skewed.
b. The median is a better measure of center as it is less affected by the extreme values (right - skew) compared to the mean.