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

question 14

Short Answer

The following data represent the ages (in years) of a sample of 25 employees from a government
department: $\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline 31 & 43 & 56 & 23 & 49 & 42 & 33 & 61 & 44 & 28 \\\hline 48 & 38 & 44 & 35 & 40 & 64 & 52 & 42 & 47 & 39 \\\hline 53 & 27 & 36 & 35 & 20 & & & & & \\\hline\end{array}$ The frequency distribution for the data, using five class intervals and the value 20 as the lower limit of the first class is given below. $$\begin{array} { c c } \hline \text { Class Limits } & \text { Frequency } \\\hline 20 \text { up to } 30 & 4 \\30 \text { up to } 40 & 7 \\40 \text { up to } 50 & 9 \\50 \text { up to } 60 & 3 \\60 \text { up to } 70 & 2 \\\text { Total } & 25 \\\hline\end{array}$$ Find the mean of the grouped data.

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Definitions:

Printing Press

A mechanical device invented by Johannes Gutenberg in the 15th century, which allowed for the mass production of printed materials, significantly impacting the spread of knowledge.

Movable Type

The system and technology of printing and typography that uses movable components to reproduce the elements of a document.

Columbus's Voyage

The expedition led by Christopher Columbus in 1492, which led to European awareness and eventual colonization of the Americas.

Spanish Emigrants

Individuals from Spain who leave their homeland to settle in another country, often for economic, political, or personal reasons.