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Nurul Izzah Anwar, an engineering major at a college in Malaysia ...

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186 Part 3 Prepar<strong>in</strong>g Content<br />

Figure 8.1<br />

For these normal high<br />

temper<strong>at</strong>ures for July <strong>in</strong><br />

selected Americ<strong>an</strong><br />

cities, the average high<br />

for all the cities c<strong>an</strong> be<br />

computed <strong>in</strong> three ways,<br />

because there are three<br />

different types of averages:<br />

me<strong>an</strong>, medi<strong>an</strong>,<br />

<strong>an</strong>d mode.<br />

Ethical Issue<br />

City Normal Highs <strong>in</strong> July<br />

Phoenix<br />

Houston<br />

Orl<strong>an</strong>do<br />

New Orle<strong>an</strong>s<br />

St. Louis<br />

Atl<strong>an</strong>ta<br />

Alb<strong>an</strong>y, NY<br />

Chicago<br />

Detroit<br />

Se<strong>at</strong>tle<br />

S<strong>an</strong> Fr<strong>an</strong>cisco<br />

105<br />

94<br />

92<br />

91<br />

89<br />

88<br />

83<br />

83<br />

83<br />

75<br />

71<br />

954 11 = 86.7<br />

Medi<strong>an</strong><br />

Mode<br />

Me<strong>an</strong><br />

The number th<strong>at</strong> falls<br />

<strong>in</strong> the middle of a<br />

numerical r<strong>an</strong>k<strong>in</strong>g<br />

The number th<strong>at</strong><br />

occurs most<br />

frequently<br />

Sum of all items<br />

divided by the number<br />

of items<br />

president with <strong>an</strong> <strong>an</strong>nual salary of $290,000; a vice president with a salary<br />

of $170,000; three m<strong>an</strong>agers with salaries of $50,000 each, <strong>an</strong>d 20 workers<br />

with wages of $20,000 each. Wh<strong>at</strong> is the average <strong>in</strong>come of the people<br />

who work <strong>at</strong> this comp<strong>an</strong>y? If one uses the me<strong>an</strong> as the average, the<br />

<strong>an</strong>swer is derived by total<strong>in</strong>g the salaries <strong>an</strong>d divid<strong>in</strong>g by 25 (the total<br />

number of employees): $40,400. The medi<strong>an</strong> is derived by list<strong>in</strong>g the<br />

salaries <strong>in</strong> a column, r<strong>an</strong>g<strong>in</strong>g from highest to lowest, <strong>an</strong>d then loc<strong>at</strong><strong>in</strong>g<br />

the salary th<strong>at</strong> falls <strong>in</strong> the middle: $20,000. The mode is the salary th<strong>at</strong><br />

occurs most frequently: $20,000.<br />

Now suppose th<strong>at</strong> the comp<strong>an</strong>y had a labor–m<strong>an</strong>agement dispute. In<br />

<strong>an</strong> <strong>in</strong>terview with the press, the president could say, “I don’t see wh<strong>at</strong> the<br />

workers are compla<strong>in</strong><strong>in</strong>g about. The average <strong>in</strong>come <strong>in</strong> this comp<strong>an</strong>y is<br />

$40,400.” And she would be correct, s<strong>in</strong>ce she chose to use the me<strong>an</strong> as<br />

her version of average. A represent<strong>at</strong>ive of the workers, on the other h<strong>an</strong>d,<br />

could say “We are paid <strong>an</strong> average of only $20,000,” <strong>an</strong>d this would be<br />

correct, s<strong>in</strong>ce the medi<strong>an</strong> is also a k<strong>in</strong>d of average.<br />

As a researcher, you need to know the me<strong>an</strong><strong>in</strong>gs of these three terms,<br />

but as <strong>an</strong> ethical speaker, you should restrict your use of the word average<br />

to the me<strong>an</strong> because th<strong>at</strong> is wh<strong>at</strong> most people th<strong>in</strong>k of as the average.<br />

For the other two types of averages, simply expla<strong>in</strong> them <strong>in</strong> context without<br />

us<strong>in</strong>g the word “average.” Regard<strong>in</strong>g Figure 8.1, for example, you<br />

could say, “The high th<strong>at</strong> appears most often on this list is 83.” For the<br />

medi<strong>an</strong>, it would help your audience if you said, “Highs r<strong>an</strong>ge from 105<br />

to 71, with 88 fall<strong>in</strong>g <strong>in</strong> the middle.”

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