निम्नलिखित वर्गीकृत बारंबारता बंटन पर विचार कीजिए:

X

F

0-10

8

10-20

12

20-30

10

30-40

P

40-50

9

 

यदि उपरोक्त आँकड़ों का माध्य 25.2 है, तब p का मान क्या है?

This question was previously asked in
CDS Maths Previous Paper 7 (Held On: 3 Feb 2019)
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  1. 9
  2. 10
  3. 11
  4. 12

Answer (Detailed Solution Below)

Option 3 : 11
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Detailed Solution

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X

F

Z

F × Z

0-10

8

5

40

10-20

12

15

180

20-30

10

25

250

30-40

P

35

35P

40-50

9

45

405

 

Z प्रत्येक आँकड़ें के लिए x के परिसर का मध्यबिंदु है। 

सभी F × Z का योग = 875 + 35P

उपरोक्त आँकड़ों का माध्य 25.2 है और सभी F का योग = 8 + 12 + 10 + P + 9 = 39 + P

माध्य \(= \frac{{875 + 35P}}{{39 + P}} = 25.2\)

⇒ 9.8 P = 107.8

⇒ P = 11
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