4, 6, x, 10, 12, 16 సంఖ్యల సమితి యొక్క అంకమధ్యమం 14 అయితే ‘x’ విలువని కనుక్కోండి.

  1. 23
  2. 15
  3. 8
  4. పైవేవీ కావు

Answer (Detailed Solution Below)

Option 4 : పైవేవీ కావు
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కాన్సెప్ట్:

ఒక సమితి యొక్క సంఖ్యల అంకమధ్యమం ఆ విలువల మొత్తంతో,విలువల సంఖ్యని భాగించగా వస్తుంది.

అంకమాధ్యమం = \(\rm \frac{sum \: of\: the \: terms}{number\: of \:terms}\)

లెక్క:

ఇచ్చిన సంఖ్యలు 4, 6, x, 10, 12, 16 

అంకమాధ్యమం 14

\(\rm 14 = \frac{4 + 6 + x + 10 + 12 + 16 }{6} \)

84 = 48 + x

x = 84 - 48

x = 36

∴  x విలువ 36

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