Home » » $$\begin{array}{c|c}\text{height} & 2 & 3 & 4 & 5 & 6 \\ \hline \text{frequency} & 2 & 4 & 5 & 3 & 1 \end{array}$$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.

A) 3.8

B) 3.0

C) 2.8

D) 2.3

### 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

## Dicussion (1)

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

mean$$\bar{x} = \frac{\sum fx}{\sum f}$$

= $$\frac{57}{15}$$

= 3.8