Ans: (a) $a = 48$, $b = 62$ (b) No
- Since the range of the distribution is $43$, then we have
$\begin{array}{rcl}
b – 19 & = & 43 \\
b & = & 62
\end{array}$Since the inter-quartile range of the distribution is $21$, then we have
$\begin{array}{rcl}
a – 27 & = & 21 \\
a & = & 48
\end{array}$ - Note that three of the clerk in team $Y$ is $38$ and the range of ages of the clerks in team $Y$ is $20$.
Then let $18$, $18$, $38$, $38$ and $38$ be the ages of the clerks in team $Y$. Hence, the range of the ages of the clerks in the section
$\begin{array}{cl}
= & 62 – 18 \\
= & 44 \\
\neq & 43
\end{array}$Therefore, I don’t agree with the claim.
