Q30 / 77 · NTA Abhyas (JEE Main) 2020 · Mathematics · Statistics

If the observations 1,2,3,….,n occur with frequency n,n-1,n-2,..,1 respectively such that the mean of observations is 133, then n is equal to

  • A
    10
  • Correct answer
    B
    11
  • C
    12
  • D
    13

Solution

Mean =∑fixi∑fi=∑r=1nrn+1-rnn+12=133 (given)
⇒nn+12·n+1-nn+12n+16nn+12=133
⇒n+1-2n+13=133⇒n3+23=133⇒n=11

Hence, the correct answer is option: 'B'.

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