Question

Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the given sample data in millions of dollars. Given that these are the top 10​ salaries, do we know anything about the salaries of TV personalities in​ general? Are such top 10 lists valuable for gaining insight into the larger​ population?

38.9

   

35.5

   

35.8

   

27.5

   

14.4

   

13.5

   

12.4

   

9.6

   

10.2

   

7.6

Answer 1

arranging the data in ascending order we get:-

7.6
9.6
10.2
12.4
13.5
14.4
27.5
35.5
35.8
38.9

a).mean be:-

= 20.54

b). the median be:-

= 13.95

c). there is no mode.

[ as all the values are occurring once ]

d). midrange be:-

= 23.25

e).as the sample values top 10​ , they give almost no information about the salaries of TV personalities in general.

f). No, because such top 10 lists are valuable for gaining insight into the larger ​population.

as, the top 10 lists are representative of an extreme subset of population.

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