Statistics · JEE Main previous year questions

2004 3 questions

1. Q482004 · 24 Apr 2004 · Shift 1

   Consider the following statements: (a) Mode can be computed from histogram (b) Median is not independent of change of scale (c) Variance is independent of change of origin and scale. Which of these is/are correct?

   1. A.only (a)
   2. B.only (b)
   3. C.only (a) and (b)
   4. D.(a), (b) and (c)
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   Answer: C

2. Q492004 · 24 Apr 2004 · Shift 1

   In a series of 2n observations, half of them equal $a$ and remaining half equal $-a$. If the standard deviation of the observations is 2, then $|a|$ equals

   1. A.2
   2. B.$\sqrt{2}$
   3. C.$\frac{1}{n}$
   4. D.$\frac{\sqrt{2}}{n}$
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   Answer: A

3. Q652004 · 24 Apr 2004 · Shift 1

   The mean and the variance of a binomial distribution are $4$ and $2$ respectively. Then the probability of $2$ successes is :

   1. A.$\frac{28}{256}$
   2. B.$\frac{219}{256}$
   3. C.$\frac{128}{256}$
   4. D.$\frac{37}{256}$
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   Answer: A