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