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. a. false, because the bar for 61 - 65 is shorter than 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. false, because the bar for 61 - 65 has the same height as the bar for 46 - 50. d. true, because the bar for 61 - 65 is taller than the bar for 46 - 50.

Explanation:

Step1: Analyze the histogram bars

In a histogram, the height of each bar represents the frequency (number of graduates in this case). We need to compare the height of the bar for the \(61 - 65\) salary range and the \(46 - 50\) salary range.

Step2: Compare the heights

Looking at the "Starting Salaries of Recent College Graduates" histogram, the bar for the \(61 - 65\) (in thousands of dollars) salary range is shorter than the bar for the \(46 - 50\) (in thousands of dollars) salary range. This means fewer graduates had starting - salaries in the \(61,000 - 65,000\) range than in the \(46,000 - 50,000\) range.

Answer:

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