Listed below are the top 10 annual salaries​ (in millions

folklorahhe

folklorahhe

Answered question

2021-12-04

Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and standard deviation for the sample data. Given that these are the top 10​ salaries, do we know anything about the variation of salaries of TV personalities in​ general?
39
     37
    36
    30
    20
    18
     15
     13
     12.7
      11.2

Answer & Explanation

Alicia Washington

Alicia Washington

Beginner2021-12-05Added 23 answers

Step 1
Given data:
39, 37, 36, 30, 20, 18, 15, 13,12.7, 11.2
The smallest value =11.2
The largest value =39
So the range =3911.2=27.8
Step 2
The mean of the salaries =(39+37+36+30+20+18+15+13+12.7+11.2)10=23.19
Then we make a table
datadatamean(datamean)23915.81249.95613713.81190.71613612.81164.0961306.8146.3761203.1910.1761185.1926.9361158.1967.07611310.19103.836112.710.49110.040111.211.99143.7601
Then we find the sum of the third column. That is =(xiX)2=1112.969
So the variance =(xiX)2n1=1112.969101=123.663222222
Standard deviation =variance=123.663222222=11.1203966756
Answer:
Range =27.8
Variance =123.663222222
Standard deviation =11.1203966756

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