Question

You have found the following ages (in years) of 6 lizards, randomly selected from the 36 lizards at your local zoo: 1,2,2,1,3,3. Based on your sample, what is the average age of the lizards? What is the standard deviation? Round your answers to the nearest tenth.

A. Average Age: 2.0 years, Standard Deviation: 0.8
B. Average Age: 1.7 years, Standard Deviation: 0.8
C. Average Age: 2.0 years, Standard Deviation: 0.7
D. Average Age: 1.7 years, Standard Deviation: 0.7

Answer 1

The average age of the lizards is 2.0 years and the standard deviation is 0.8 years.

Step-by-step explanation:

To find the average age of the lizards, add up all the ages and divide by the number of lizards. So, 1 + 2 + 2 + 1 + 3 + 3 = 12. Then, divide 12 by 6 (the number of lizards) to get an average age of 2 years.

To find the standard deviation, subtract the average age from each individual age and square the result. Add up all the squared differences and divide by the number of lizards. Take the square root of this result to get the standard deviation. Following these steps, we get a standard deviation of 0.8 years.