╨д╨╛╤А╨╝╤Г╨╗╨░ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕

╨з╤В╨╛ ╤В╨░╨║╨╛╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╨░ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕?

╨в╨╡╤А╨╝╨╕╨╜ ┬л╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М┬╗ ╨╛╤В╨╜╨╛╤Б╨╕╤В╤Б╤П ╨║ ╤Б╤В╨░╤В╨╕╤Б╤В╨╕╤З╨╡╤Б╨║╨╛╨╣ ╨╝╨╡╤А╨╡ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨▓ ╤В╨╡╤З╨╡╨╜╨╕╨╡ ╨╛╨┐╤А╨╡╨┤╨╡╨╗╨╡╨╜╨╜╨╛╨│╨╛ ╨┐╨╡╤А╨╕╨╛╨┤╨░ ╨▓╤А╨╡╨╝╨╡╨╜╨╕ ╨┤╨╗╤П ╨░╨║╤Ж╨╕╨╣, ╤Ж╨╡╨╜╨╜╤Л╤Е ╨▒╤Г╨╝╨░╨│ ╨╕╨╗╨╕ ╤А╤Л╨╜╨╛╤З╨╜╤Л╤Е ╨╕╨╜╨┤╨╡╨║╤Б╨╛╨▓. ╨Т╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨╝╨╛╨╢╨╜╨╛ ╤А╨░╤Б╤Б╤З╨╕╤В╨░╤В╤М ╨╗╨╕╨▒╨╛ ╤Б ╨┐╨╛╨╝╨╛╤Й╤М╤О ╤Б╤В╨░╨╜╨┤╨░╤А╤В╨╜╨╛╨│╨╛ ╨╛╤В╨║╨╗╨╛╨╜╨╡╨╜╨╕╤П, ╨╗╨╕╨▒╨╛ ╤Б ╨┐╨╛╨╝╨╛╤Й╤М╤О ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╤Ж╨╡╨╜╨╜╨╛╨╣ ╨▒╤Г╨╝╨░╨│╨╕ ╨╕╨╗╨╕ ╨░╨║╤Ж╨╕╨╕.

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╨╜╨░╤Е╨╛╨╢╨┤╨╡╨╜╨╕╤П ╨║╨▓╨░╨┤╤А╨░╤В╨╜╨╛╨│╨╛ ╨║╨╛╤А╨╜╤П ╨╕╨╖ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╤Ж╨╡╨╜╤Л ╨░╨║╤Ж╨╕╨╕.

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╨╡╨╜╨░ тАЛтАЛтАЛтАЛ╨║╨░╨║,

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ = тИЪ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П

╨Ъ╤А╨╛╨╝╨╡ ╤В╨╛╨│╨╛, ╤Д╨╛╤А╨╝╤Г╨╗╨░ ╨│╨╛╨┤╨╛╨▓╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╤Г╨╝╨╜╨╛╨╢╨╡╨╜╨╕╤П ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╜╨░ ╨║╨▓╨░╨┤╤А╨░╤В╨╜╤Л╨╣ ╨║╨╛╤А╨╡╨╜╤М ╨╕╨╖ 252.

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨│╨╛╨┤╨╛╨▓╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╨╡╨╜╨░ тАЛтАЛтАЛтАЛ╨║╨░╨║,

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨│╨╛╨┤╨╛╨▓╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ = тИЪ252 * тИЪ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П

╨Ю╨│╨╗╨░╨▓╨╗╨╡╨╜╨╕╨╡

• ╨з╤В╨╛ ╤В╨░╨║╨╛╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╨░ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕?
  • ╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕
  • ╨Я╤А╨╕╨╝╨╡╤А ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ (╤Б ╤И╨░╨▒╨╗╨╛╨╜╨╛╨╝ Excel)
  • ╨Р╨║╤В╤Г╨░╨╗╤М╨╜╨╛╤Б╤В╤М ╨╕ ╨╕╤Б╨┐╨╛╨╗╤М╨╖╨╛╨▓╨░╨╜╨╕╨╡
  • ╨а╨╡╨║╨╛╨╝╨╡╨╜╨┤╤Г╨╡╨╝╤Л╨╡ ╤Б╤В╨░╤В╤М╨╕

╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕

╨д╨╛╤А╨╝╤Г╨╗╤Г ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨║╨╛╨╜╨║╤А╨╡╤В╨╜╨╛╨╣ ╨░╨║╤Ж╨╕╨╕ ╨╝╨╛╨╢╨╜╨╛ ╨▓╤Л╨▓╨╡╤Б╤В╨╕, ╨▓╤Л╨┐╨╛╨╗╨╜╨╕╨▓ ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╕╨╡ ╤И╨░╨│╨╕:

1. ╨Т╨╛-╨┐╨╡╤А╨▓╤Л╤Е, ╤Б╨╛╨▒╨╡╤А╨╕╤В╨╡ ╨┤╨╜╨╡╨▓╨╜╤Г╤О ╤Ж╨╡╨╜╤Г ╨░╨║╤Ж╨╕╨╣, ╨░ ╨╖╨░╤В╨╡╨╝ ╨╛╨┐╤А╨╡╨┤╨╡╨╗╨╕╤В╨╡ ╤Б╤А╨╡╨┤╨╜╨╡╨╡ ╨╖╨╜╨░╤З╨╡╨╜╨╕╨╡ ╤Ж╨╡╨╜╤Л ╨░╨║╤Ж╨╕╨╣. ╨Я╤А╨╡╨┤╨┐╨╛╨╗╨╛╨╢╨╕╨╝, ╤З╤В╨╛ ╨┤╨╜╨╡╨▓╨╜╨░╤П ╤Ж╨╡╨╜╨░ ╨░╨║╤Ж╨╕╨╕ ╨▓ i-╨╣ ╨┤╨╡╨╜╤М ╨╛╨▒╨╛╨╖╨╜╨░╤З╨░╨╡╤В╤Б╤П ╨║╨░╨║ Pi, ╨░ ╤Б╤А╨╡╨┤╨╜╤П╤П ╤Ж╨╡╨╜╨░ тАФ ╨║╨░╨║ Pav.

2. ╨Ч╨░╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╤А╨░╨╖╨╜╨╕╤Ж╤Г ╨╝╨╡╨╢╨┤╤Г ╤Ж╨╡╨╜╨╛╨╣ ╨░╨║╤Ж╨╕╨╕ ╨╖╨░ ╨║╨░╨╢╨┤╤Л╨╣ ╨┤╨╡╨╜╤М ╨╕ ╤Б╤А╨╡╨┤╨╜╨╡╨╣ ╤Ж╨╡╨╜╨╛╨╣, ╤В. ╨╡. Pi тАУ P.

3. ╨Ч╨░╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╨║╨▓╨░╨┤╤А╨░╤В ╨▓╤Б╨╡╤Е ╨╛╤В╨║╨╗╨╛╨╜╨╡╨╜╨╕╨╣, ╤В.╨╡. (Pav тАУ Pi)2.

4. ╨Ч╨░╤В╨╡╨╝ ╨╜╨░╨╣╨┤╨╕╤В╨╡ ╤Б╤Г╨╝╨╝╤Г ╨▓╤Б╨╡╤Е ╨║╨▓╨░╨┤╤А╨░╤В╨╛╨▓ ╨╛╤В╨║╨╗╨╛╨╜╨╡╨╜╨╕╨╣, ╤В. ╨╡. тИС (Pav тАУ Pi)2.

5. ╨Ч╨░╤В╨╡╨╝ ╤А╨░╨╖╨┤╨╡╨╗╨╕╤В╨╡ ╤Б╤Г╨╝╨╝╤Г ╨▓╤Б╨╡╤Е ╨║╨▓╨░╨┤╤А╨░╤В╨╛╨▓ ╨╛╤В╨║╨╗╨╛╨╜╨╡╨╜╨╕╨╣ ╨╜╨░ ╨║╨╛╨╗╨╕╤З╨╡╤Б╤В╨▓╨╛ ╨╡╨╢╨╡╨┤╨╜╨╡╨▓╨╜╤Л╤Е ╨║╤Г╤А╤Б╨╛╨▓ ╨░╨║╤Ж╨╕╨╣, ╤Б╨║╨░╨╢╨╡╨╝, ╨╜╨░ n. ╨н╤В╨╛ ╨╜╨░╨╖╤Л╨▓╨░╨╡╤В╤Б╤П ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╡╨╣ ╤Ж╨╡╨╜╤Л ╨░╨║╤Ж╨╕╨╕.

   ╨Ф╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П = тИС (Pav тАУ Pi)2 / n

6. ╨Ч╨░╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╨┤╨╜╨╡╨▓╨╜╤Г╤О ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨╕╨╗╨╕ ╤Б╤В╨░╨╜╨┤╨░╤А╤В╨╜╨╛╨╡ ╨╛╤В╨║╨╗╨╛╨╜╨╡╨╜╨╕╨╡, ╨▓╤Л╤З╨╕╤Б╨╗╨╕╨▓ ╨║╨▓╨░╨┤╤А╨░╤В╨╜╤Л╨╣ ╨║╨╛╤А╨╡╨╜╤М ╨╕╨╖ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╨░╨║╤Ж╨╕╨╕.

   ╨Ф╨╜╨╡╨▓╨╜╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М = тИЪ(тИС (Pav тАУ Pi)2 / n)

7. ╨Ч╨░╤В╨╡╨╝ ╤Д╨╛╤А╨╝╤Г╨╗╨░ ╨│╨╛╨┤╨╛╨▓╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╤Г╨╝╨╜╨╛╨╢╨╡╨╜╨╕╤П ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╜╨░ ╨║╨▓╨░╨┤╤А╨░╤В╨╜╤Л╨╣ ╨║╨╛╤А╨╡╨╜╤М ╨╕╨╖ 252. ╨Ч╨┤╨╡╤Б╤М 252 тАФ ╤Н╤В╨╛ ╨║╨╛╨╗╨╕╤З╨╡╤Б╤В╨▓╨╛ ╤В╨╛╤А╨│╨╛╨▓╤Л╤Е ╨┤╨╜╨╡╨╣ ╨▓ ╨│╨╛╨┤╤Г.

   ╨У╨╛╨┤╨╛╨▓╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М = = тИЪ252 * тИЪ(тИС (Pav тАУ Pi)2 / n)

╨Я╤А╨╕╨╝╨╡╤А ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ (╤Б ╤И╨░╨▒╨╗╨╛╨╜╨╛╨╝ Excel)

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╨Т╤Л ╨╝╨╛╨╢╨╡╤В╨╡ ╤Б╨║╨░╤З╨░╤В╤М ╤Н╤В╨╛╤В ╤И╨░╨▒╨╗╨╛╨╜ Excel ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╖╨┤╨╡╤Б╤М — ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ Excel ╨и╨░╨▒╨╗╨╛╨╜
╨Т╨╛╨╖╤М╨╝╨╡╨╝ ╨▓ ╨║╨░╤З╨╡╤Б╤В╨▓╨╡ ╨┐╤А╨╕╨╝╨╡╤А╨░ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤Ж╨╡╨╜╤Л ╨░╨║╤Ж╨╕╨╣ Apple Inc. ╨╖╨░ ╨┐╨╛╤Б╨╗╨╡╨┤╨╜╨╕╨╣ ╨╝╨╡╤Б╤П╤Ж, ╤В╨╛ ╨╡╤Б╤В╤М ╤Б 14 ╤П╨╜╨▓╨░╤А╤П 2019 ╨│. ╨┐╨╛ 13 ╤Д╨╡╨▓╤А╨░╨╗╤П 2019 ╨│. ╨а╨░╤Б╤Б╤З╨╕╤В╨░╨╡╨╝ ╨┤╨╜╨╡╨▓╨╜╤Г╤О ╨╕ ╨│╨╛╨┤╨╛╨▓╤Г╤О ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М Apple Inc. ╨╖╨░ ╤Н╤В╨╛╤В ╨┐╨╡╤А╨╕╨╛╨┤.

╨Э╨╕╨╢╨╡ ╨┐╤А╨╕╨▓╨╡╨┤╨╡╨╜╤Л ╨┤╨░╨╜╨╜╤Л╨╡ ╨┤╨╗╤П ╤А╨░╤Б╤З╨╡╤В╨░ ╨┤╨╜╨╡╨▓╨╜╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╕ ╨│╨╛╨┤╨╛╨▓╨╛╨╣ ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╨╕ Apple Inc.

• ╨б╨║╨╛╤А╤А╨╡╨║╤В╨╕╤А╨╛╨▓╨░╨╜╨╜╤Л╨╣ R ╨▓ ╨║╨▓╨░╨┤╤А╨░╤В╨╡ ╨б╨║╨╛╤А╤А╨╡╨║╤В╨╕╤А╨╛╨▓╨░╨╜╨╜╤Л╨╣ R ╨▓ ╨║╨▓╨░╨┤╤А╨░╤В╨╡ ╨б╨║╨╛╤А╤А╨╡╨║╤В╨╕╤А╨╛╨▓╨░╨╜╨╜╤Л╨╣ R ╨▓ ╨║╨▓╨░╨┤╤А╨░╤В╨╡ ╨╛╤В╨╜╨╛╤Б╨╕╤В╤Б╤П ╨║ ╤Б╤В╨░╤В╨╕╤Б╤В╨╕╤З╨╡╤Б╨║╨╛╨╝╤Г ╨╕╨╜╤Б╤В╤А╤Г╨╝╨╡╨╜╤В╤Г, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨┐╨╛╨╝╨╛╨│╨░╨╡╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨░╨╝ ╨╕╨╖╨╝╨╡╤А╤П╤В╤М ╤Б╤В╨╡╨┐╨╡╨╜╤М ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╨╖╨░╨▓╨╕╤Б╨╕╨╝╨╛╨╣ ╨┐╨╡╤А╨╡╨╝╨╡╨╜╨╜╨╛╨╣, ╨║╨╛╤В╨╛╤А╨░╤П ╨╝╨╛╨╢╨╡╤В ╨▒╤Л╤В╤М ╨╛╨▒╤К╤П╤Б╨╜╨╡╨╜╨░ ╨╜╨╡╨╖╨░╨▓╨╕╤Б╨╕╨╝╨╛╨╣ ╨┐╨╡╤А╨╡╨╝╨╡╨╜╨╜╨╛╨╣, ╨╕ ╤Г╤З╨╕╤В╤Л╨▓╨░╨╡╤В ╨▓╨╗╨╕╤П╨╜╨╕╨╡ ╤В╨╛╨╗╤М╨║╨╛ ╤В╨╡╤Е ╨╜╨╡╨╖╨░╨▓╨╕╤Б╨╕╨╝╤Л╤Е ╨┐╨╡╤А╨╡╨╝╨╡╨╜╨╜╤Л╤Е, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨╕╨╝╨╡╤О╤В ╨▓╨╗╨╕╤П╨╜╨╕╨╡ ╨╜╨░ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨╖╨░╨▓╨╕╤Б╨╕╨╝╨╛╨╣ ╨┐╨╡╤А╨╡╨╝╨╡╨╜╨╜╨╛╨╣.╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡
• ╨а╨╡╨░╨╗╨╕╨╖╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М╨а╨╡╨░╨╗╨╕╨╖╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М╨а╨╡╨░╨╗╨╕╨╖╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨╛╤Ж╨╡╨╜╨╕╨▓╨░╨╡╤В ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╛╨╜╨╜╨╛╨│╨╛ ╨┐╤А╨╛╨┤╤Г╨║╤В╨░ ╨┐╤Г╤В╨╡╨╝ ╨░╨╜╨░╨╗╨╕╨╖╨░ ╨╡╨│╨╛ ╨╕╤Б╤В╨╛╤А╨╕╤З╨╡╤Б╨║╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨╖╨░ ╨┐╤А╨╡╨┤╤Л╨┤╤Г╤Й╨╕╨╣ ╨┐╨╡╤А╨╕╨╛╨┤. ╨Ъ╨╛╨╗╨╡╨▒╨░╨╜╨╕╤П ╤Ж╨╡╨╜ ╨╜╨░ ╨░╨║╤Ж╨╕╨╕ ╨║╨╛╨╝╨┐╨░╨╜╨╕╨╕ ╨┐╨╛╨╝╨╛╨│╨░╤О╤В ╨╕╨╖╨╝╨╡╤А╨╕╤В╤М ╤Б╤В╨╡╨┐╨╡╨╜╤М ╨╜╨╡╨╛╨┐╤А╨╡╨┤╨╡╨╗╨╡╨╜╨╜╨╛╤Б╤В╨╕ ╨╕╨╗╨╕ ╨┐╨╛╤В╨╡╨╜╤Ж╨╕╨░╨╗╤М╨╜╤Л╤Е ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╤Е ╤Г╨▒╤Л╤В╨║╨╛╨▓ ╨╕╨╗╨╕ ╨┐╤А╨╕╨▒╤Л╨╗╨╕ ╨╛╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨▓ ╤Д╨╕╤А╨╝╤Г.╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡
• ╨Я╨╛╨┤╤А╨░╨╖╤Г╨╝╨╡╨▓╨░╨╡╨╝╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╨Я╨╛╨┤╤А╨░╨╖╤Г╨╝╨╡╨▓╨░╨╡╨╝╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╨Я╨╛╨┤╤А╨░╨╖╤Г╨╝╨╡╨▓╨░╨╡╨╝╨░╤П ╨▓╨╛╨╗╨░╤В╨╕╨╗╤М╨╜╨╛╤Б╤В╤М ╨╛╤В╨╜╨╛╤Б╨╕╤В╤Б╤П ╨║ ╨╝╨╡╤В╤А╨╕╨║╨╡, ╨║╨╛╤В╨╛╤А╨░╤П ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╤В╤Б╤П ╨┤╨╗╤П ╤В╨╛╨│╨╛, ╤З╤В╨╛╨▒╤Л ╤Г╨╖╨╜╨░╤В╤М ╨▓╨╡╤А╨╛╤П╤В╨╜╨╛╤Б╤В╤М ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤П ╤Ж╨╡╨╜ ╨╜╨░ ╨┤╨░╨╜╨╜╤Г╤О ╤Ж╨╡╨╜╨╜╤Г╤О ╨▒╤Г╨╝╨░╨│╤Г ╤Б ╤В╨╛╤З╨║╨╕ ╨╖╤А╨╡╨╜╨╕╤П ╤А╤Л╨╜╨║╨░. ╨Ю╨╜ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╨┐╨╛╨╝╨╡╤Й╨╡╨╜╨╕╤П ╤А╤Л╨╜╨╛╤З╨╜╨╛╨╣ ╤Ж╨╡╨╜╤Л ╨╛╨┐╤Ж╨╕╨╛╨╜╨░ ╨▓ ╨╝╨╛╨┤╨╡╨╗╤М ╨С╨╗╤Н╨║╨░-╨и╨╛╤Г╨╗╨╖╨░.╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡
• ╨д╨╛╤А╨╝╤Г╨╗╨░╨д╨╛╤А╨╝╤Г╨╗╨░╨Ф╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П ╨╜╨░╤Б╨╡╨╗╨╡╨╜╨╕╤П ╨╝╨╛╨╢╨╡╤В ╨▒╤Л╤В╤М ╤А╨░╤Б╤Б╤З╨╕╤В╨░╨╜╨░ ╨┐╨╛ ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╡╨╣ ╤Д╨╛╤А╨╝╤Г╨╗╨╡: ╨╜╨░╨▒╨╗╤О╨┤╨╡╨╜╨╕╤П, ╨░ ┬╡ тАФ ╤Н╤В╨╛ ╤Б╤А╨╡╨┤╨╜╨╡╨╡ ╨╖╨╜╨░╤З╨╡╨╜╨╕╨╡ ╨╜╨░╨▒╨╛╤А╨░ ╨┤╨░╨╜╨╜╤Л╤Е. ╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡ ╨╛ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╨╕ ╨┐╨╛╨┐╤Г╨╗╤П╤Ж╨╕╨╕. ╨Ф╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П ╨┐╨╛╨┐╤Г╨╗╤П╤Ж╨╕╨╕ ╨╝╨╛╨╢╨╡╤В ╨▒╤Л╤В╤М ╤А╨░╤Б╤Б╤З╨╕╤В╨░╨╜╨░ ╨┐╨╛ ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╡╨╣ ╤Д╨╛╤А╨╝╤Г╨╗╨╡: ╧Г2 = тИСni=1 (xi тАФ ╬╝)2 / N, ╨│╨┤╨╡ ╧Г2 тАФ ╨┤╨╕╤Б╨┐╨╡╤А╤Б╨╕╤П ╨┐╨╛╨┐╤Г╨╗╤П╤Ж╨╕╨╕, x1 , x2, x3,тАж..xn тАФ ╨╜╨░╨▒╨╗╤О╨┤╨╡╨╜╨╕╤П, N тАФ ╨║╨╛╨╗╨╕╤З╨╡╤Б╤В╨▓╨╛ ╨╜╨░╨▒╨╗╤О╨┤╨╡╨╜╨╕╨╣, ╨░ ┬╡ тАФ ╤Б╤А╨╡╨┤╨╜╨╡╨╡ ╨╖╨╜╨░╤З╨╡╨╜╨╕╨╡ ╨╜╨░╨▒╨╛╤А╨░ ╨┤╨░╨╜╨╜╤Л╤Е.╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡
• ╨Т╨░╨╗╨╛╨▓╤Л╨╡ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л╨Т╨░╨╗╨╛╨▓╤Л╨╡ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л╨Т╨░╨╗╨╛╨▓╤Л╨╡ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л тАФ ╤Н╤В╨╛ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨┤╨╛╨╗╨╢╨╜╤Л ╨▒╤Л╤В╤М ╨▓╤Л╨┐╨╗╨░╤З╨╡╨╜╤Л ╨║╤А╨╡╨┤╨╕╤В╨╛╤А╤Г ╨╖╨░╨╡╨╝╤Й╨╕╨║╨╛╨╝ ╨╖╨░ ╨╕╤Б╨┐╨╛╨╗╤М╨╖╨╛╨▓╨░╨╜╨╕╨╡ ╤Б╤А╨╡╨┤╤Б╤В╨▓ ╨┤╨╛ ╨▓╤Л╤З╨╡╤В╨░ ╨╗╤О╨▒╤Л╤Е ╨║╨╛╨╝╨╕╤Б╤Б╨╕╨╣, ╨╜╨░╨╗╨╛╨│╨╛╨▓ ╨╕ ╨┤╤А╤Г╨│╨╕╤Е ╤Б╨▒╨╛╤А╨╛╨▓, ╨┐╤А╨╕╨╝╨╡╨╜╨╕╨╝╤Л╤Е ╨║ ╨╜╨╕╨╝, ╨╕ ╨╛╨╜╨╕ ╤Г╤З╨╕╤В╤Л╨▓╨░╤О╤В ╨▓╨╗╨╕╤П╨╜╨╕╨╡ ╨┐╨╗╨░╤В╨╡╨╢╨░ ╨╜╨░ ╤А╨╕╤Б╨║. ╨┐╨╛╨║╤А╤Л╨▓╨░╤О╤В╤Б╤П ╤А╨░╤Б╤Е╨╛╨┤╤Л ╨╜╨░ ╤Г╨┐╤А╨░╨▓╨╗╨╡╨╜╤З╨╡╤Б╨║╨╕╨╡ ╤Г╤Б╨╗╤Г╨│╨╕ ╨╕ ╨░╨╗╤М╤В╨╡╤А╨╜╨░╤В╨╕╨▓╨╜╤Л╨╡ ╨╕╨╖╨┤╨╡╤А╨╢╨║╨╕.╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡