Question

You have found the following ages (in years) of 5 porcupines. Those porcupines were randomly selected from the 26 porcupines at your local zoo: 16, 10, 5, 7, 13. Based on your sample, what is the average age of the porcupines? What is the standard deviation? Round your answers to the nearest tenth.

Answer 1

The average age of the porcupines is 10.2 years. The standard deviation is approximately 3.7.

Step-by-step explanation:

To find the average age of the porcupines, you need to add up all the ages and divide by the number of porcupines. Adding up the ages 16 + 10 + 5 + 7 + 13 gives you a total of 51. Dividing by 5 (the number of porcupines) gives you an average age of 10.2 years.

To find the standard deviation, you need to calculate the variance first. To do this, calculate the squared difference between each age and the average age, sum up those squared differences, and divide by the number of porcupines. The variance is 13.76. To find the standard deviation, take the square root of the variance, which is approximately 3.7 rounded to the nearest tenth.