Question

The given line plot shows the heights of different plants in a nursery.


What is the mean or average height of all the plants in the nursery?

• A. $\frac{67}{14}$ ft
• B. $\frac{38}{7}$ ft
• C. $\frac{7}{38}$ ft
• D. 76 ft

Answer 1

The correct option is B $\frac{38}{7}$ ft

Sum of the heights of all plants $=4+4+4+4\frac{1}{4}+4\frac{3}{2}+4\frac{3}{2}+4\frac{3}{2}+4\frac{3}{2}+5\frac{1}{4}+5\frac{1}{4}+5\frac{1}{4}+6+8+8$

$=32+15+6+16+\frac{1}{4}+\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$

$=69+1+6$

$=76$ ft

$\text{Mean height of all plants}=\frac{\text{sum of all heights of plant}}{\text{number of plants}}=\frac{76}{14}=\frac{38}{7}$ ft