Chapter SH, Problem 13.2MPS

i.

To determine

Draw box and whisker plot for gold and silver medals.

  

Answer to Problem 13.2MPS

Box and whisker plot for gold medal,

  

Box and whisker plot for silver medal,

  

Explanation of Solution

Given:

  

Calculations:

Here, we have to draw box-whisker plot for given gold and silver medals.

Box and whisker plot for gold medal,

33, 34, 35, 36, 37, 40, 44, 83

  

Box and whisker plot for silver medal,

24, 31, 31, 32, 34, 35, 39, 61

  

Conclusion:

Therefore, we are able to draw box and whisker plot for given data.

ii.

To determine

State the data having higher range among given data.

  

Answer to Problem 13.2MPS

Gold medals has higher range than silver medals.

Explanation of Solution

Given:

  

Calculations:

Here, we have to find range of given two data and state higher range data among both.

Range is the difference between higher and lower data value.

For Gold medals,

  $\begin{array}{l}Range=Maximumvalue-\min imumvalue\\ =83-33\\ =50\end{array}$

For silver medals,

  $\begin{array}{l}Range=Maximumvalue-\min imumvalue\\ =61-24\\ =37\end{array}$

From above findings, gold medals has higher range value than silver medals.

Conclusion:

Therefore, we are able to find the range of given data.

iii.

To determine

Calculate percent of years of scoring more than 40 medals.

  

Answer to Problem 13.2MPS

37.5% of years scored more than 40 gold medals since 8 years.

Explanation of Solution

Given:

  

Calculations:

Here, we have to calculate percentage of years that scored more than 40 gold medals.

We have data of gold medals scored in Olympics since past 8 years.

Among 8 years, U.S. scored more than 40 medals for 3 years. Thus, to calculate percentage of years scoring more than 40 medals,

  $\begin{array}{l}Percentageofyears=\frac{Yearsthatobtainedmorethan40medals}{Totalno.ofyears}\times 100\\ =\frac{3}{8}\times 100\\ =0.375\times 100=37.5\%\end{array}$

Conclusion:

Therefore, we are able to find percent of years of scoring more than 40 medals.