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Question: Answered & Verified by Expert
The marks scored by two students A and B in six subjects are given below:
$\begin{array}{ccccccc}\text { A } & 71 & 56 & 45 & 89 & 54 & 44 \\ \text { B } & 55 & 74 & 83 & 54 & 38 & 52\end{array}$
Which one of the following statements is correct?
MathematicsStatisticsNDANDA 2006 (Phase 2)
Options:
  • A The average scores of $\mathrm{A}$ and $\mathrm{B}$ are same but $\mathrm{A}$ is consistent
  • B The average scores of $A$ and $B$ are not same but $A$ is consistent
  • C The average scores of $\mathrm{A}$ and $\mathrm{B}$ are same but $\mathrm{B}$ is consistent
  • D The average scores of $\mathrm{A}$ and $\mathrm{B}$ are not same but $\mathrm{B}$ is consistent $\quad$
Solution:
2671 Upvotes Verified Answer
The correct answer is: The average scores of $\mathrm{A}$ and $\mathrm{B}$ are not same but $\mathrm{B}$ is consistent $\quad$
Average score of $\mathrm{A}=\frac{71+56+45+89+54+44}{6}$ $=\frac{359}{6}=59.83$
and average score of $\mathrm{B}=\frac{55+74+83+54+38+52}{6}=\frac{356}{6}=59.33$
Variation is lesser in case of B than A. So, the average scores of A and B are not same but B is consistent.

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