यदि संख्याओं -1, 0, 1, k का मानक विचलन  है जहाँ k > 0 तो k किसके बराबर है?

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JEE Main 04 April 2024 Shift 1
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दिए गए अवलोकन का माध्य = 

दिया हुआ, मानक विचलन,  

चूंकि, मानक विचलन प्रसरण का वर्गमूल है।

प्रसरण, σ2 = 5      -----(i)

प्रसरण के लिए सूत्र,  

       -----(ii)

समीकरण (i) और (ii) को बराबर करके, हमें मिलता है

⇒ 12k2 = 18 × 16

⇒ 12k2 = 288

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