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 smaller.
b. true, because the largest bar has a height of approximately 500.
c. false, because the total number of data items is larger.
d. true, because the total number of data items is approximately 500.

Explanation:

Step1: Calculate the total number of data items

Add up the heights of all the bars in the histogram. Let's assume the heights (number of graduates) for each bar (salary range) are approximately \(50\) (for \(41 - 45\)), \(125\) (for \(46 - 50\)), \(300\) (for \(51 - 55\)), \(250\) (for \(56 - 60\)), \(100\) (for \(61 - 65\)), \(25\) (for \(66 - 70\)), and \(0\) (for \(71 - 75\)).

$$50+125 + 300+250+100+25+0=850$$

Step2: Compare with the statement

The statement claims the sample is approximately \(500\). Since \(850>500\), the total number of data items is larger.

Answer:

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