The table shows data for two groups of plants, one grown with fertilizer and the other without fertilizer.

Effect of Fertilizer on Plant Growth

\begin{tabular}{|l|l|l|}
\hline & No fertilizer & Fertilizer \\
\hline Height of plants (cm) & 24.1 & 30.5 \\
& 25.9 & 32.1 \\
& 25.4 & 40.6 \\
& 24.1 & 30.5 \\
& 35.6 & 33.8 \\
\hline
\end{tabular}

What is the mean height of the plants given fertilizer?

A. 30.5 cm
B. 33.5 cm
C. 27.0 cm
D. 32.1 cm



Answer :

To find the mean height of the plants given fertilizer, we need to follow these steps:

1. List the heights of the plants given fertilizer:
[tex]\[ 30.5\ \text{cm},\ 32.1\ \text{cm},\ 40.6\ \text{cm},\ 30.5\ \text{cm},\ 33.8\ \text{cm} \][/tex]

2. Sum the heights of the plants given fertilizer:
[tex]\[ 30.5 + 32.1 + 40.6 + 30.5 + 33.8 = 167.5\ \text{cm} \][/tex]

3. Count the number of plants given fertilizer:
[tex]\[ 5\ \text{plants} \][/tex]

4. Calculate the mean height by dividing the total height by the number of plants:
[tex]\[ \text{Mean height} = \frac{167.5\ \text{cm}}{5} = 33.5\ \text{cm} \][/tex]

So, the mean height of the plants given fertilizer is:
B. 33.5 cm