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1.  Titus has collected a set of data and calculated the median to be 29. The set contains 75 numbers, but Titus gets an email telling him to add the following 6 numbers to his data: 23, 26, 26, 30, 33, 40

What is the new median for his data?
 

A) 28     
B) 29     
C) 30     
D) 31

 

 

2. On Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge. For 500 minutes she pays $35 total, and for 1500 minutes used she pays $55 total. What is her monthly fixed charge?

 

A) $15

B) $20

C) $25

D) $30

 Oct 23, 2018
 #1
avatar+3994 
+3

1. Wild guess, is the answer 29?

 Oct 23, 2018
 #2
avatar+3994 
+3

Yes, it is! The median is constant!

 Oct 23, 2018
 #3
avatar+98196 
+3

Nice, tertre  !!!

 

Here is the second one.....

 

Let F  be the fixed charge  and M  be the cost per minute of use

 

So...we have these equations

 

500M + F  = 35

1500M + F  = 55

 

Subtract the first equation from the second and we get that

 

1000M = 20     divide both sides by 1000

 

M =  20 / 1000   =   2 / 100   =  2 cents per minute

 

So...using either equation to determine F, we have

 

500 (,02) + F  =  35

 

10 + F  = 35      subtract   10 from each side

 

F  =   25  (dollars)

 

 

cool cool cool

CPhill  Oct 24, 2018

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