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. the graph is based on a sample of approximately 500 recent college graduates. choose the correct answer below. a. false, because the total number of data items is larger. b. true, because the total number of data items is approximately 500. c. true, because the largest bar has a height of approximately 500. d. false, because the total number of data items is smaller.

Explanation:

Step1: Estimate the number of graduates in each interval

• For the interval \(41 - 45\): Approximately \(50\)
• For the interval \(46 - 50\): Approximately \(125\)
• For the interval \(51 - 55\): Approximately \(300\)
• For the interval \(56 - 60\): Approximately \(275\)
• For the interval \(61 - 65\): Approximately \(100\)
• For the interval \(66 - 70\): Approximately \(25\)
• For the interval \(71 - 75\): Approximately \(0\)

Step2: Calculate the total number of graduates

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Answer:

A. False, because the total number of data items is larger.