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I need help with - Statistics and Probability - JEE Main

The mean and the median of the following ten numbers in increasing order  10,22,26,29,34,x,42,67,70,y    are  42\:\:and\:\:35  respectively , then   \frac{y}{x}

is equal to  :

  • Option 1)

    9/4

  • Option 2)

    7/2

  • Option 3)

    8/3

  • Option 4)

    7/3

 
Answers (1)
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\\Mean=42=\frac{y+10+22+26+29+34+x+42+67+70}{10}\\\\\:420=300+x+y\\\\\:x+y=120\\\\\:medin=35=\frac{34+x}{2}\\\\\:x=36\\\\\:since\:\:x+y=120\\\\\:y=120-36=84\\\\\:\therefore y/x=\frac{84}{36}=\frac{21}{9}=\frac{7}{3}


Option 1)

9/4

Option 2)

7/2

Option 3)

8/3

Option 4)

7/3

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