{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-03-04T12:07:43.327Z","dateModified":"2024-06-19T10:24:08.862Z","typicalAgeRange":"11-18","educationalLevel":"CUET (PG)","assesses":"Economics - Coefficient of Variation","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Coefficient of Variation"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Economics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"CUET (PG)"}],"name":"Quiz about Coefficient of Variation","about":{"@type":"Thing","name":"Economics - Coefficient of Variation"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Coefficient of Variation","text":"For a strictly convex function f(x), which one of the following is true? [0 < λ< 1]}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

λf(x₁)+(1-λ)f(x₂)>f[λx₁+(1-λ)x₂]

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

λf(x₁)+(1-λ)f(x₂)<f[λx₁+(1-λ)x₂]

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

λf(x₁)+(1-λ)f(x₂)≥f[λx₁+(1-λ)x₂]

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

λf(x₁)+(1-λ)f(x₂)≤f[λx₁+(1-λ)x₂]

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

λf(x₁)+(1-λ)f(x₂)>f[λx₁+(1-λ)x₂]

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is(A): λf(x 1 )+(1-λ)f(x 2 )>f[λx 1 +(1-λ)x 2 ]"}}}]}

For a strictly convex function f(x), which one of the following is true? [0 < λ< 1]

The Correct Option is A

Solution and Explanation

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