The Following Data Represent the Ages (In Years) of a Sample

question 75

Essay

The following data represent the ages (in years) of a sample of 25 employees from a government
department: $$\begin{array} { | l | l | l | l | r | r | r | r | r | r | } \hline 31 & 43 & 56 & 23 & 49 & 42 & 33 & 61 & 44 & 28 \\\hline 48 & 38 & 44 & 35 & 40 & 64 & 52 & 42 & 47 & 39 \\\hline 53 & 27 & 36 & 35 & 20 & & & & & \\\hline\end{array}$$ Construct a box plot for the age data and identify any outliers.

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Definitions:

Dependent-Means Formula

A statistical formula used to calculate the difference between the means of related groups.

Numerator

The top number in a fraction, indicating how many parts of a whole are considered.

T Test

A statistical test used to compare the means of two groups or to compare a sample mean to a known value, under the assumption that the sample comes from a normally distributed population.

Dependent Means

Refers to averages that are related or influence each other, typically within paired or matched samples in statistical analyses.