Chapter 13, Problem 6PS

To determine

To draw: A conclusion about voice parts and heights and then to justify the conclusion.

Answer to Problem 6PS

The shorter people tend to be Soprano, while relatively taller people tend to be Alto, then Tenor and the tallest people tend to be Bass. Conclusion is justified after establishing conjecture regarding mean.

Explanation of Solution

Given information:

Calculation:

Roughly estimating the mean (as per ideal situation), the conjecture is,

  $Mean\approx \frac{LowerQuartile+UpperQuartile}{2}$

For Soprano,

Mean could be near about $\frac{62.5+66}{2}=\frac{128.5}{2}=64.25$

For Alto,

Mean could be near about $\frac{63+67}{2}=\frac{130}{2}=65$

For Tenor,

Mean could be near about $\frac{66.5+71.5}{2}=\frac{138}{2}=69$

For Bass,

Mean could be near about $\frac{68+72}{2}=\frac{140}{2}=70$

As $64.25<65<69<70$ , the shorter people tend to be Soprano, while relatively taller people tend to be Alto, then Tenor and the tallest people tend to be Bass.