Chapter 10.2, Problem 42E

To determine

Either female or males group send more text is to be estimate.

Answer to Problem 42E

Femalesgroup text more than males.

Explanation of Solution

Given:

Males	Females
$127$	$112$
$44$	$203$
$28$	$102$
$83$	$54$
$0$	$379$
$6$	$305$
$78$	$179$
$6$	$24$
$5$	$127$
$213$	$65$
$73$	$41$
$20$	$27$
$214$	$298$
$28$	$6$
$11$	$130$

Concept Used:

The Mean formula:

  $\overline{X}=\frac{{\displaystyle \sum X}}{n}$

Where,

Sum of all data values: ${\displaystyle \sum X}$

Number of data values: $n$

Calculation:

Let’s take given table and find out its sum first:

Males	Females
$127$	$112$
$44$	$203$
$28$	$102$
$83$	$54$
$0$	$379$
$6$	$305$
$78$	$179$
$6$	$24$
$5$	$127$
$213$	$65$
$73$	$41$
$20$	$27$
$214$	$298$
$28$	$6$
$11$	$130$
${\displaystyle \sum X_M}=936$	${\displaystyle \sum X_F}=2052$

  $\begin{array}{l}{\overline{X}}_M=\frac{{\displaystyle \sum X_M}}{n}=\frac{936}{7}=133.71\\ {\overline{X}}_F=\frac{{\displaystyle \sum X_F}}{n}=\frac{2052}{7}=293.14\end{array}$

From the above ratio values of males and females, the mean value of female group is more than male group that’s why the female groups text more.

Conclusion:

Hence, females group text more than males.