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< Exercises

Variance

You have found the following ages (in years) of 55 gorillas. The gorillas are randomly selected from the 2929 gorillas at your local zoo:
8,4,14,16,8\qquad8,\enspace 4,\enspace 14,\enspace 16,\enspace 8
Based on your sample, what is the average age of the gorillas? What is the estimated variance of the ages?
You may round your answers to the nearest tenth.
Average age:
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
years old
Variance:
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
years2^2