Question

the histogram shows the starting salaries (rounded to the nearest thousand dollars) 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. 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. b. true, because the bar for 61 - 65 is taller than the bar for 46 - 50. c. false, because the bar for 61 - 65 has the same height as the bar for 46 - 50. d. false, because the bar for 61 - 65 is shorter than the bar for 46 - 50.

Explanation:

In a histogram, the height of each bar represents the frequency (number of data points) in that interval. To check the statement, we compare the heights of the bars for the \(61 - 65\) (in thousands of dollars) and \(46 - 50\) (in thousands of dollars) intervals. Looking at the histogram, the bar for the \(46 - 50\) salary range is taller than the bar for the \(61 - 65\) salary range. This means more graduates had starting - salaries in the \(46,000 - 50,000\) range than in the \(61,000 - 65,000\) range.

Answer:

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