The salaries of employees of the Moe D. Lawn Landscaping Company are: $\text { cellpadding }=" 0 " \text { cellspacing }=" 0 " \text { width }=" 52 \% \text { " border }=" 0 "$

$$\begin{array} { l l }
\text { Salary } & \text { Frequency } \
\$ 22,000 & 1 \
\$ 28,000 & 2 \
\$ 31,000 & 3 \
\$ 37,000 & 4
\end{array}$$ Now, use this information to label the box and whisker plot below, which is arranged low to high along the axis.
A) $A = \$ 1 B = \$ 2 C = \$ 3$ $D = \$ 4 E = \$ 5$
B) $A = \$ 22,000 , B = \$ 22,000 , C = \$ 28,000$ $D = \$ 31,000 , E = \$ 37,000$
C) $A = \$ 22 , B = \$ 22 , C = \$ 28 ,$ $D = \$ 31 , E = \$ 37$
D) $A = \$ 22,000 , B = \$ 22,000 , C = \$ 28,000$ $D = \$ 37,000 , E = \$ 37,000$
E) $A = \$ 37,000 , B = \$ 31,000 , C = \$ 28,000$ $D = \$ 22,000 , E = \$ 22,000$

Question

The salaries of employees of the Moe D. Lawn Landscaping Company are: $\text { cellpadding }=" 0 " \text { cellspacing }=" 0 " \text { width }=" 52 \% \text { " border }=" 0 ">$

$$\begin{array} { l l } 
\text { Salary } & \text { Frequency } \
\$ 22,000 & 1 \
\$ 28,000 & 2 \
\$ 31,000 & 3 \
\$ 37,000 & 4
\end{array}$$ Now, use this information to label the box and whisker plot below, which is arranged low to high along the axis.
A) $A = \$ 1 B = \$ 2 C = \$ 3$ $D = \$ 4 E = \$ 5$
B) $A = \$ 22,000 , B = \$ 22,000 , C = \$ 28,000$ $D = \$ 31,000 , E = \$ 37,000$
C) $A = \$ 22 , B = \$ 22 , C = \$ 28 ,$ $D = \$ 31 , E = \$ 37$
D) $A = \$ 22,000 , B = \$ 22,000 , C = \$ 28,000$ $D = \$ 37,000 , E = \$ 37,000$
E) $A = \$ 37,000 , B = \$ 31,000 , C = \$ 28,000$ $D = \$ 22,000 , E = \$ 22,000$

Quizplus · Accepted Answer

The box and whisker plot should show the minimum, maximum, median, and quartiles of the dataset. From the given frequency table, we can see that the minimum salary is $22,000 and the maximum salary is $37,000. The median is the middle value, which is the average of the two middle values in this case (since there are 10 data points - an even number). So, the median is $(28,000 + 31,000)/2 = $29,500. The quartiles divide the dataset into four equal parts, so the first quartile (Q1) is the median of the lower half of the data, which is $28,000, and the third quartile (Q3) is the median of the upper half of the data, which is $37,000. Placing these values on the plot gives us the box and whisker plot labeled as in choice B.

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