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  1. ### !challenge
  2.  
  3. * type: [number || short-answer]
  4. * title: sample variance
  5. * id: 126
  6. * decimal: 2
  7.  
  8. ##### !question
  9. What is the sample variance?
  10. ##### !end-question
  11.  
  12. ##### !placeholder
  13. Write your answer to at least 2 decimal places.
  14. ##### !end-placeholder
  15.  
  16. ##### !answer
  17. 3
  18. ##### !end-answer
  19.  
  20. ##### !explanation
  21. Here is the way that the sample variance can be calculated for this question. And this is some extra text to see how markdown preview works where there are multiple lines.
  22.  
  23. $$ \begin{align} var(S) &= \frac{(1 - 0.6)^2 + (1 - 0.6)^2 + (0 - 0.6)^2 + (1 - 0.6)^2 + (0 - 0.6)^2}{5-1} \ &= \frac{0.16 + > 0.16 + 0.36 + 0.16 + 0.36}{4} \ &= \frac{1.2}{4} \ &= \frac{3}{10} \ &\approx 0.33 \end{align} $$
  24. ##### !end-explanation
  25.  
  26. ### !end-challenge
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