The following are the annual incomes (in thousands of dollars) for 9 r

protisvitfc

protisvitfc

Answered question

2021-11-30

The following are the annual incomes (in thousands of dollars) for 9 randomly chosen, U.S. adults employed full-time:
68,68,44,82,63,75,51,90,68
(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode: ?
two modes: ? and ?

Answer & Explanation

Glenn Cooper

Glenn Cooper

Beginner2021-12-01Added 12 answers

Step 1 
data provided:
n=9 
Let x =68.68.44.82.63.75.51.90.68 
To find: (1) median 
(2) Mean 
(3) Mode 
Step 2 
Solution: 
The data is arranged in ascending order:
44,51,63,68,68,68,75,82,90 
a) Median: Here n=9 (odd) 
median=(n+12)thobservation=(9+12)thobs 
=5th obs 
median=68 
b) mean: x=xn 
x=44+51+63+68+68+68+75+82+909 
x=6099=67.67 
(x)=67.7 
c) Mode: Most repeating value in the data set. 
 Here 68 is repeated most 
mode=68 
 one mode

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