Determine and Interpret Quartiles
-The one way distances from work (in miles) of 30 employees are listed below. Find Q1. $\begin{array} { l l l l l l l l l l } 25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \ 29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \ 33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38 \end{array}$
A) $28 \mathrm { mi }$
B) $30.75 \mathrm { mi }$
C) $34 \mathrm { mi }$
D) $29 \mathrm { mi }$

Question

Quizplus · Accepted Answer

Q1, the first quartile, represents the 25th percentile of the data set. To find Q1 in an ordered data set, calculate the position using the formula $P = \frac{(n+1) \times 25}{100}$, where $n$ is the number of data points. For 30 data points, $P = \frac{(30+1) \times 25}{100} = 7.75$. This means Q1 is between the 7th and 8th data points. Interpolating between 27.5 (7th data point) and 28 (8th data point), Q1 is 28 miles.

Determine and Interpret Quartiles -The One Way Distances from Work

Determine and Interpret Quartiles
-The One Way Distances from Work