Question

the histogram shows the starting salaries (rounded to the nearest thousand dollar) for college graduates based on a random sample of recent graduates. determine whether the following statement is true or false according to the graph. more college graduates had starting salaries in the $61,000 - $65,000 range than in the $46,000 - $50,000 range. choose the correct answer below. a. false, because the bar for 61 - 65 has the same height as the bar for 46 - 50. b. true, because the sum of the heights of the first two bars in the graph is greater than the sum of the heights of the last two bars. c. true, because the bar for 61 - 65 is taller than the bar for 46 - 50. d. false, because the bar for 61 - 65 is shorter than the bar for 46 - 50.

Explanation:

The statement is "More college graduates had starting salaries in the $61,000 - $65,000 range than in the $46,000 - $50,000 range." To determine this, we compare the heights of the bars for these two ranges in the histogram. The bar for $61 - 65$ (let's assume its height) and the bar for $46 - 50$ (its height). If the bar for $61 - 65$ is taller, the statement is true; otherwise, false. Looking at the options, option D says "False, because the bar for 61 - 65 is shorter than the bar for 46 - 50", which aligns with comparing the bar heights. The other options: A is incorrect as the bars aren't same height. B and C refer to sum of other bars, which is not relevant to comparing $61 - 65$ and $46 - 50$ ranges. So the correct answer is D.

Answer:

D. False, because the bar for 61 - 65 is shorter than the bar for 46 - 50.