मध्य (M), मध्यक (Md), आणि बहुलक (M0) यांमधील अनुभवजन्य संबंध कोणता?

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. M0 = 3Md - 2M
  2. M0 = 2Md - 3M
  3. M0 = 2Md + 3M
  4. M0 = 3Md + 2M

Answer (Detailed Solution Below)

Option 1 : M0 = 3Md - 2M
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Detailed Solution

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गणना:

मध्य(M), मध्यक(Md) आणि बहुलक (M0) यांमधील अनुभवजन्य संबंध

⇒ M0 = 3Md - 2M

 

मध्य = नमुन्यातील सर्व मूल्यांची एकूण बेरीज भागीले निरीक्षणांची संख्या आणि हे  x̅ ने दर्शविले जाते

x̅ = ∑fi/n आणि I = 1, 2, 3, -------

मध्यक = वितरणाचा मध्यक हा एक मध्यवर्ती बिंदू शोधतो जो वितरणास दोन समान भागांमध्ये विभाजित करतो

मध्यक = (n + 1)/2

बहुलक = बहुलक हे सर्वाधिक वारंवारता असलेले वितरणाचे मूल्य आहे.

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