Question

a random sample of 34 male college students is selected. each student is asked his height (to the nearest inch). the heights are shown in the frequency distribution below. construct a histogram and a frequency polygon for the data.

select a polygon representing the given data frequency distribution.

oa.

ob.

oc.

od.

Explanation:

Step1: Analyze the frequency values

Check the frequency values for each height: \(2\) (height \(66\)), \(3\) (height \(67\)), \(5\) (height \(68\)), \(3\) (height \(69\)), \(2\) (height \(70\)), \(7\) (height \(71\)), \(3\) (height \(72\)), \(6\) (height \(73\)), \(2\) (height \(74\)), \(1\) (height \(75\)).

Step2: Match with the polygon graphs

• In option A: The frequencies match the given data. For height \(66\) frequency is \(2\), \(67\) is \(3\), \(68\) is \(5\), \(69\) is \(3\), \(70\) is \(2\), \(71\) is \(7\), \(72\) is \(3\), \(73\) is \(6\), \(74\) is \(2\), \(75\) is \(1\).
• Option B: The frequency for height \(71\) is not \(7\) as per the data.
• Option C: It is a non - fluctuating (increasing) graph which does not match the discrete frequency data.
• Option D: The initial frequency (for height \(66\)) is not \(2\) as per the data.

Answer:

A.