Chapter 11.4, Problem 62STP

(a)

To determine

To find the mean of the six salaries -

  $\$140,\$220,\$90,\$180,\$140,\$200$

Answer to Problem 62STP

The Mean of the salaries is $\$161.67$ .

Explanation of Solution

Given: Salaries - $\$140,\$220,\$90,\$180,\$140,\$200$

Formula Used:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Calculation:

Given: Salaries: $\$140,\$220,\$90,\$180,\$140,\$200$

From the above definition of Mean, we have:

Mean of the salaries $=$ $\$\frac{140+220+90+180+140+200}{6}$

Solving further, we have:

Mean of the salaries $=$ $\$\frac{970}{6}$

Mean of the salaries $=$ $\$161.67$

Conclusion:

Hence, Mean of the salaries is $\$161.67$ .

(b)

To determine

To find the median of the six salaries -

  $\$140,\$220,\$90,\$180,\$140,\$200$

Answer to Problem 62STP

The median of the salaries is $\$180$ .

Explanation of Solution

Given: Salaries - $\$140,\$220,\$90,\$180,\$140,\$200$

Formula Used:

To find the median of a group of odd numbers: Arrange the numbers in order by size and then the middle term is the median.

Calculation:

Given: Salaries: $\$140,\$220,\$90,\$180,\$140,\$200$

From the above definition of Median, we have:

Arranging the numbers in order by size, we have:

  $\$90,\$140,\$180,\$200,\$220$

Middle term is $\$180$

Thus, Median of the salaries $=$ $\$180$

Conclusion:

Hence, Median of the salaries is $\$180$ .

(c)

To determine

To find the mode of the six salaries -

  $\$140,\$220,\$90,\$180,\$140,\$200$

Answer to Problem 62STP

The mode of the salaries is $\$140$ .

Explanation of Solution

Given: Salaries - $\$140,\$220,\$90,\$180,\$140,\$200$

Formula Used:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

Calculation:

Given: Salaries: $\$140,\$220,\$90,\$180,\$140,\$200$

From the above definition of Mode, we have:

Arranging the numbers in order by size, we have:

  $\$90,\$140,\$140,\$180,\$200,\$220$

  $\$140$ is repeated twice.

Thus, mode of the salaries $=$ $\$140$

Conclusion:

Hence, mode of the salaries is $\$140$ .