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Question
- smart kids the histogram displays the iq scores of 60 randomly selected fifth - grade students from one school. which measure of center is the more appropriate choice in this setting? explain.
The histogram of IQ scores is approximately symmetric. For symmetric distributions, the mean is the more appropriate measure of center as it takes into account all values in the data set and is balanced around the center of the distribution. The median is also a measure of center, but when the distribution is symmetric, the mean and median are approximately equal, and the mean is preferred as it uses all data points for calculation.
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The mean is the more appropriate measure of center. Since the histogram of IQ scores is approximately symmetric, the mean (which uses all data points) is a good representative of the center.