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**+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**+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

CPhill Dec 20, 2017