Chapter 11.1, Problem 16E

a.

To determine

To find: the fastest time take by a men.

Answer to Problem 16E

The fastest time take by a men

  $83\text{ mintues}$ .

Explanation of Solution

Given information:

  $\begin{array}{l}\text{8 3 6}\\ \text{9 0 3 3 5 6}\\ \text{10 0 0 1 3 3 3 3 3 3 3 6 9}\\ \text{11 1 2 3 9 9}\\ \text{12 1 2 4 9 9}\\ \text{13 3}\end{array}$

Calculation: to find all the solution first get the values from the table,

Value= $83,86,90,93,93,95,96,100,100,101,103,103,103,103,103,103,103,106,109,111,112,113,119,119,121,122,124,129,129,133$

The fastest time was $83\text{ mintues}$ because it is least time taken by the men.

b.

To determine

To find: the mediantime .

Answer to Problem 16E

The median time is $103\text{ mintues}$ .

Explanation of Solution

Given information:

  $\begin{array}{l}\text{8 3 6}\\ \text{9 0 3 3 5 6}\\ \text{10 0 0 1 3 3 3 3 3 3 3 6 9}\\ \text{11 1 2 3 9 9}\\ \text{12 1 2 4 9 9}\\ \text{13 3}\end{array}$

Calculation: to find all the solution first get the values from the table,

Value= $83,86,90,93,93,95,96,100,100,101,103,103,103,103,103,103,103,106,109,111,112,113,119,119,121,122,124,129,129,133$

For median in the given values the mid term will be the median= $103\text{ mintues}$ .

c.

To determine

To find: the percent of the participants to finished the race less than 2 hours.

Answer to Problem 16E

the percent of the participants to finished the race less than 2 hours is $75\%$ .

Explanation of Solution

Given information:

  $\begin{array}{l}\text{8 3 6}\\ \text{9 0 3 3 5 6}\\ \text{10 0 0 1 3 3 3 3 3 3 3 6 9}\\ \text{11 1 2 3 9 9}\\ \text{12 1 2 4 9 9}\\ \text{13 3}\end{array}$

Calculation: to find all the solution first get the values from the table,

Value= $83,86,90,93,93,95,96,100,100,101,103,103,103,103,103,103,103,106,109,111,112,113,119,119,121,122,124,129,129,133$

For finding the percentages first find the time less than 2 hours than get the percent with the total time,

Percent= $\frac{2312}{3077}·100=75\%$

d.

To determine

To compare: the time taken by the female wheelchair with the male participants.

Explanation of Solution

Given information:

  $\begin{array}{l}\text{8 3 6}\\ \text{9 0 3 3 5 6}\\ \text{10 0 0 1 3 3 3 3 3 3 3 6 9}\\ \text{11 1 2 3 9 9}\\ \text{12 1 2 4 9 9}\\ \text{13 3}\end{array}$

Calculation: to find all the solution first get the values from the table,

Value= $83,86,90,93,93,95,96,100,100,101,103,103,103,103,103,103,103,106,109,111,112,113,119,119,121,122,124,129,129,133$

The fastest wheelchair time in the marathon was 1 hour 46 minutes by the female that is equal to 106 minutes so, it is compare with the step 10 leafs.