निम्नलिखित बारंबारता वितरण का बहुलक परिकलित कीजिए। 

सेकंड

51-55

56-60

61-65

66-70

बारंबारता 

2

7

8

4

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
View all SSC CGL Papers >
  1. 61.8
  2. 62.5
  3. 64.5
  4. 63.5

Answer (Detailed Solution Below)

Option 1 : 61.8
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Detailed Solution

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दिया गया है

बहुलक वर्ग = 61 - 65 (उच्चतम आवृत्ति = 8)

L = 61

I = 4

fo = 7

f1 = 8

f2 = 4

सूत्र

बहुलक= L + [(f1 – f0)/(2f1 – f0 – f2)] × I

I = वर्ग अंतराल या वर्ग आकार

f1 = बहुलक वर्ग की आवृत्ति

fo = पिछले बहुलक वर्ग की आवृत्ति

f2 = अगले बहुलक वर्ग की आवृत्ति

L = बहुलक वर्ग की निचली सीमा

गणना

सेकंड

बारंबारता 

51 – 55

2

56  - 60

7

61 – 65

8

66 - 70

4

 

बहुलक = 61 + [(8 – 7)/(2 × 8 – 7 – 4)] × 4

⇒ 61 + [(1/(16 – 11)] × 4

⇒ 61 + (1/5) × 4

⇒ 61 + 4/5

∴बहुलक 61.8 है

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