Question
Download Solution PDFఐదు వరుస సరిసంఖ్యల సగటు 16, ఆ సంఖ్యల వ్యత్యాసాన్ని కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
ఐదు వరుస సరిసంఖ్యల సగటు = 16
వాడిన సూత్రం:
V = వ్యత్యాసం
∑ = మొత్తం
x = పరిశీలన
n = పరిశీలనల సంఖ్య
a = సంఖ్యలలో 1 వ విలువ
d = సామాన్య బేధం
లెక్క:
⇒ 2a + (5 – 1)2 = 32
⇒ 2a + 4 × 2 = 32
⇒ 2a = 32 – 8
⇒ 2a = 24
⇒ a = 12
1వ విలువ = 12
ఇతర విలువలు 14, 16, 18, 20
⇒
⇒
⇒ 8
⇒ V = 8
∴ సంఖ్యల యొక్క వ్యత్యాసం 8
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