Question

the table shows information about the number of different languages some people speak.

what is the mean number of languages spoken per person?

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$$\begin{tabular}{|c|c|} \\hline \\text{number of languages} & \\text{frequency} \\\\ \\hline 1 & 9 \\\\ \\hline 2 & 8 \\\\ \\hline 3 & 3 \\\\ \\hline \\end{tabular}$$

Explanation:

Calculate the total number of people (total frequency)

$$ \sum f = 9 + 8 + 3 = 20 $$

Calculate the total number of languages spoken

$$ \sum (x \cdot f) = (1 \cdot 9) + (2 \cdot 8) + (3 \cdot 3) = 9 + 16 + 9 = 34 $$

Calculate the mean number of languages spoken per person

$$ \text{Mean} = \frac{\sum (x \cdot f)}{\sum f} = \frac{34}{20} = 1.7 $$

Answer:

\(1.7\)