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 35.7 35.2 27.6 15.9 13.6 12.3 10.5 9.8 8

Answer 1

Answer: The results are as follows:

Explanation:

Total number of observations (n) = 10

(a) Mean =
`(Sum\ of\ all\ observations)/(Total\ number\ of\ observations)`

=
`(38.9+35.7+35.2+27.6+15.9+13.6+12.3+10.5+9.8+8)/(10)`

=
`(207.5)/(10)`

= 20.75

(b) Median =
`((n)/(2)) th\ term + ((n)/(2) + 1)th\ term`

= 5th term + 6th term

= 15.9 + 13.6

= 29.5

(c) Mode ⇒ there is no mode because none of the observations occurred more than once.

(d) Range =
`(Maximum\ value - minimum\ value)/(2)`

=
`(38.09 + 8)/(2)`

= 23.045

No one cannot know the individual personalities as the data is collected randomly.

Yes, the results of sample data are used for estimating the overall population results only if the method of collecting data is unbiased and correct.