3, 4, 5, 7, 10, 10, 10 యొక్క సగటు విచలనాన్ని కనుగొనండి

  1. 18/7
  2. 17/7
  3. 14/7
  4. 11/7

Answer (Detailed Solution Below)

Option 1 : 18/7
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Detailed Solution

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ఇచ్చిన దత్తాంశం:
3, 4, 5, 7, 10, 10, 10

ఉపయోగించిన కాన్సెప్ట్:

అంకగణిత సగటు = సగటు

విచలనం అనేది శ్రేణిలో ఇచ్చిన సంఖ్యతో వ్యత్యాసం.

సాధన

అంకగణిత సగటు = \(\frac{{3 + 4 + 5 + 7 + 10 + 10 + 10}}{7}\)

అంకగణిత సగటు  =  49/7

అంకగణిత సగటు  = 7

శ్రేణిలో ఇచ్చిన అన్ని సంఖ్యలతో సగటు విచలనాన్ని పరిశీలిద్దాం

సగటు విచలనం

 |7 - 3|, |7 - 4|, |7 - 5|, |7 - 7|, |7 - 10|, |7 - 10|, |7 - 10|

⇒ 4, 3, 2, 0, 3, 3, 3

సగటు విచలనం = \(\frac{{3 + 4 + 2 + 3 + 3 + 3}}{7}\)

సగటు విచలనం = 18/7

 

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