Consider the two data sets
$\begin{aligned} & S_1=\{1,2,4,8,9,11,15,20,27,29,33\} \\ & S_2=\{51,52,54,58,59,61,65,70,77,79,83\}\end{aligned}$
Let $m_1, m_2$ and $v_1, v_2$ be the means and the variances of $S_1$ and $S_2$, respectively. Then, which of the following relations is correct?

• A

  $m_2=m_1, v_2=v_1$
• Correct answer
  B

  $m_2=m_1+50, v_2=v_1$
• C

  $m_2=m_1+50, v_2 \lt v_1$
• D

  $m_2=m_1+50, v_2=v_1+50$.

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