Home » Past Questions » Mathematics » \(\begin{array}{c|c}\text{height} & 2 & 3 & 4 & 5 & 6 \\ \hline \text{frequency} & 2 & 4 & 5 & 3 & 1 \end{array}\)The table shows the distribution of the height of plants in a nursery. Calculate...

\(\begin{array}{c|c}\text{height} & 2 & 3 & 4 & 5 & 6 \\ \hline \text{frequency} & 2 & 4 & 5 & 3 & 1 \end{array}\)The table shows the distribution of the height of plants in a nursery. Calculate...


Question

\(\begin{array}{c|c}\text{height} & 2 & 3 & 4 & 5 & 6 \\ \hline \text{frequency} & 2 & 4 & 5 & 3 & 1 \end{array}\)

The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.

Options

A) 3.8

B) 3.0

C) 2.8

D) 2.3

The correct answer is A.

Explanation:

\(\begin{array}{c|c} height(x) & frequency(f) & fx \\ \hline 2 & 2 & 4\\ 3 & 4 & 12\\ 4 & 5 & 20 \\ 5 & 3 & 15\\ 6 & 1 & 6\end{array}\)

mean\(\bar{x} = \frac{\sum fx}{\sum f}\)

= \(\frac{57}{15}\)

= 3.8


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  • \(\begin{array}{c|c} height(x) & frequency(f) & fx \\ \hline 2 & 2 & 4\\ 3 & 4 & 12\\ 4 & 5 & 20 \\ 5 & 3 & 15\\ 6 & 1 & 6\end{array}\)

    mean\(\bar{x} = \frac{\sum fx}{\sum f}\)

    = \(\frac{57}{15}\)

    = 3.8

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