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)?
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?
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