Dani Dutmer, Teacher at Valor Christian High School, Numerade Educator

0:00

The Practice of Statistics for AP

How many pairs of shoes do students have? Do girls have more shoes than boys? Here are data
from a random sample of 20 female and 20 male students at a large high school:
$\begin{array}{rlllllllll}{\text { Female: }} & {50} & {26} & {26} & {31} & {57} & {19} & {24} & {22} & {23} & {38} \\ & {13} & {50} & {13} & {34} & {23} & {30} & {49} & {13} & {15} & {51}\end{array}$
$\begin{array}{rrrrrrrrrrrr}{\text { Male: }} & {14} & {7} & {6} & {5} & {12} & {38} & {8} & {7} & {10} & {10} \\ &{10} & {11} & {4} & {5} & {22} & {7} & {5} & {10} & {35} & {7}\end{array}$
(a) Find and interpret the percentile in the female distribution for the girl with 22 pairs of shoes.
(b) Find and interpret the percentile in the male distribution for the boy with 22 pairs of shoes.
(c) Who is more unusual: the girl with 22 pairs of shoes or the boy with 22 pairs of shoes? Explain.

Chapter 2: Modeling Distributions of Data

Section 1: Describing Location in a Distribution