Lost in 1st year of statistics

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?

37.3 36.2 35.8 26.7 14.1 13.8 12.3 9.2 9.6 8

Answer 1

putting the salaries in or from least to greatest

 

8, 9.2, 9.6, 12.3, 13.8, 14.1, 26.7, 35.8, 36.2, 37.3

mean: 203/10=20.3

median: the median is the middle number when there is an odd number of numbers and the numbers have been arranged according to size; however there is an even number of numbers so the median is the mean of the two middle numbers

median: (13.8+14.1)/2=27.9/2=13.95

mode: there is no mode because no number occurs more than once

midrange: (8+37.3)/2=45.3/2=22.65

Answer 2

mean - Add up all 10 numbers, then divide by 10

 

median - Is the point where 5 numbers are above, and 5 numbers are below.

 

mode - Is the value that appears most often.  In this data set, none of the numbers appear morethan once, so there is no mode.

 

midrange - add the max and min value, then divide by 2