Question

the histogram shows the distributions of prices for packs of adult socks and packs of kid socks at a store. sock price comparison histogram with price per pack on x - axis: $4 to $6, $6 to $8, $8 to $10, $10 to $12, $12 to $14, $14 to $16; number of packs of socks on y - axis. blue bars for kid socks, beige bars for adult socks which measure of center is the best to use to compare the prices of kid socks and adult socks? range

Explanation:

To compare the centers of two distributions (kid socks and adult socks) from a histogram, we need a measure of center. Range is a measure of spread, not center. The appropriate measures of center are mean or median. But since histograms can be skewed, median is often better for comparing distributions as it's resistant to skewness. However, the options given: "range" is a measure of spread, so the correct measure of center (though the option might have a typo, but assuming the question is about mean/median, but if we consider the options, maybe the intended is median or mean, but since range is spread, the best measure of center would be median (or mean, but median is better for skewed data from histograms). Wait, the question is "Which measure of center...", but "range" is a measure of spread. So maybe the options were miswritten, but the correct measure of center to compare two distributions (like kid and adult socks prices) is the median (or mean, but median is better for skewed data from histograms). But if we have to choose from the options, but the user's image shows "range" as an option, but range is not a measure of center. So perhaps the intended answer is median (or mean), but since the question is about measure of center, and range is spread, the correct measure of center would be median (or mean). But maybe the options had median, mean, or mode. Assuming the question is to identify that range is not a measure of center, and the best measure of center (like median) to compare. But since the user's image has "range" as an option, but it's a distractor. The best measure of center to compare two distributions (like kid and adult socks prices) is the median (or mean, but median is more robust to skewness in histograms).

Wait, the question is "Which measure of center...", but "range" is a measure of spread. So the correct measure of center (e.g., median) is the best to use. But if we have to answer based on the options, but the user's image shows "range" as an option, which is incorrect. So perhaps the intended answer is median (or mean), but since the options might have median, mean, or mode. Assuming the question is to recognize that range is not a measure of center, and the best measure of center is median (or mean) to compare the two distributions.

Answer:

The best measure of center to compare the prices of kid socks and adult socks is the median (or mean, but median is more appropriate for skewed distributions from histograms). Note: "range" is a measure of spread, not center, so it's not a measure of center.