The diagrams show the distribution of trees in two forest patches A and B. Each patch is divided into smaller "quadrats". The number of trees in each quadrat is shown. Which one of the following statements about the means 

and standard deviations 

of the numbers of trees in the two patches is true?

Correct option is C

Concept:

Solution:
Forest Patch A:
There are 25 quadrats, each containing exactly 1 tree.
Mean (μA): Total number of trees is 25.
Mean is μ(A)=25/25=1.
Standard deviation (σA): Since all values are the same (1), the standard deviation is σ(A)=0.
Forest Patch B:
Quadrats contain the following numbers of trees: {2,0,0,0,0,0,0,7,0,10,0,0,0,6,0}
Mean (μB): Total number of trees is 2 + 7 + 10 + 6 = 25 .

Standard deviation (σB): Since values vary greatly, the standard deviation σ(B)>0.
=> μ(A) and μ(B)  are not equal.
=> The standard deviation in Patch B is higher due to the large variation in tree numbers.
Thus, Option  (c) is correct.