+0  
 
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170
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avatar+436 

Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:

 

What is the average age of the turtles (in years)?

SmartMathMan  Dec 20, 2017
 #1
avatar+436 
+1

This is part b-

 

For this problem, use the data from part (a).

A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.

What is the age of the escaped box turtle?

SmartMathMan  Dec 20, 2017
 #2
avatar+86888 
+1

Let's order the data

 

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

 

The average age  is  22 yrs

 

The sum  of the ages  is  440 yrs

 

When  two  of the turtles leave, the average is  21 yrs....and there are 18 turtles left

 

So....the sum of the ages is  21 * 18  = 378

 

And the difference  in the sums  is  62

 

The only two values that sum to 62  are  26 and 36

 

So.....the box turtle must have been 36 and the map turtle must have been 26

 

 

cool cool cool

CPhill  Dec 20, 2017

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