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QUESTION IMAGE

the histogram summarizes the percentage of people in each state and the…

Question

the histogram summarizes the percentage of people in each state and the district of columbia who identify as hispanic or latino. use the drop - down menus to describe the distribution of percentages shown in the histogram.
(histogram: x - axis is hispanic or latino percentage of the population with bins 0 - 4.9, 5.0 - 9.9, 10.0 - 14.9, 15.0 - 19.9, 20.0 - 24.9, 25.0 - 29.9, 30.0 - 34.9, 35.0 - 39.9, 40.0 - 44.9, 45.0 -; y - axis is frequency. bars have heights: 0 - 4.9: ~15, 5.0 - 9.9: ~14, 10.0 - 14.9: ~8, 15.0 - 19.9: ~3, 20.0 - 24.9: ~1, 25.0 - 29.9: ~1, 30.0 - 34.9: ~0, 35.0 - 39.9: ~1, 40.0 - 44.9: ~0, 45.0 -: ~1)
click the arrows to choose an answer from each menu.
the histogram shows that the percentages of hispanic or latino people are choose.
the largest percent range for the data set is choose.

Explanation:

Step1: Analyze Histogram Shape

The histogram shows the frequency of states (and DC) by the percentage of Hispanic/Latino population. The left - most bins (lower percentages) have the highest frequencies, and as the percentage increases, the frequency generally decreases. This is characteristic of a right - skewed distribution. In a right - skewed distribution, the mean is pulled in the direction of the skew (towards the right - tail, i.e., towards higher values), while the median is less affected by extreme values in the tail. So the mean will be greater than the median.

Step2: Identify Largest Frequency Range

Looking at the histogram, the bins 0 - 4.9 and 5.0 - 9.9 (the left - most bins) have the highest frequency (the tallest bars). So the largest percent range (in terms of frequency) is the 0 - 9.9 range (combining 0 - 4.9 and 5.0 - 9.9, or either of these as they are the tallest individually). The smallest frequency range is the right - most bins, like 40.0 - 44.9 or 45.0 - 49.9 (the shortest bars).

Answer:

  1. For the first drop - down (about mean and median): The mean percentages of Hispanic or Latino people are greater than the median percentages.
  2. For the second drop - down (largest percent range): The largest percent range for the data set is 0 - 9.9 (or 0 - 4.9 or 5.0 - 9.9, depending on binning, but the left - most bins with the tallest bars).
  3. For the third drop - down (smallest percent range): The smallest percent range for the data set is 45.0 - 49.9 (or the right - most bin with the shortest bar).