A shoe retailer keeps track of all types of information about sales of newly released shoe styles. One newly released style was marketed to tall people. Listed below are the shoe sizes of 12 randomly selected customers who purchased the new style. Find the mode of the shoe sizes.

$\begin{array}{cccc}
9 \frac{1}{2} & 11 & 12 & 11 \frac{1}{2} \
8 \frac{1}{2} & 10 \frac{1}{2} & 8 & 11 \
10 & 11 & 9 \frac{1}{2} & 10
\end{array}$

A) $10 \frac { 1 } { 4 }$

B) 11

C) $10 \frac { 1 } { 2 }$

D) $9 \frac { 1 } { 2 }$

Question

A shoe retailer keeps track of all types of information about sales of newly released shoe styles. One newly released style was marketed to tall people. Listed below are the shoe sizes of 12 randomly selected customers who purchased the new style. Find the mode of the shoe sizes.

\begin{array}{cccc}9 \frac{1}{2} & 11 & 12 & 11 \frac{1}{2} \\8 \frac{1}{2} & 10 \frac{1}{2} & 8 & 11 \\10 & 11 & 9 \frac{1}{2} & 10\end{array}

$\begin{array}{cccc}
9 \frac{1}{2} & 11 & 12 & 11 \frac{1}{2} \
8 \frac{1}{2} & 10 \frac{1}{2} & 8 & 11 \
10 & 11 & 9 \frac{1}{2} & 10
\end{array}$

A) $10 \frac { 1 } { 4 }$

B) 11

C) $10 \frac { 1 } { 2 }$

D) $9 \frac { 1 } { 2 }$

Quizplus · Accepted Answer

The mode is the number that appears most frequently in a data set. In this case, the shoe size 11 appears twice, more than any other size.

A Shoe Retailer Keeps Track of All Types of Information 912111211128121012811101191210\begin{array}{cccc}9 \frac{1}{2} & 11 & 12 & 11 \frac{1}{2} \\8 \frac{1}{2} & 10 \frac{1}{2} & 8 & 11 \\10 & 11 & 9 \frac{1}{2} & 10\end{array}921​821​10​111021​11​128921​​1121​1110​

A Shoe Retailer Keeps Track of All Types of Information $\begin{array}{cccc}9 \frac{1}{2} & 11 & 12 & 11 \frac{1}{2} \\8 \frac{1}{2} & 10 \frac{1}{2} & 8 & 11 \\10 & 11 & 9 \frac{1}{2} & 10\end{array}$