The frequency distributions shown above represent two groups of data. Each of the data
values is a multiple of 10.
Quantity A = The standard deviation of distribution A
Quantity B = The standard deviation of distribution B
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
The answer is B.
How to answer just by looking at the diagram without doing tedious calculations?
Best Answer
First of all, see that both the distributions are symmetric - So the median would be the center value, which is $30$
Since standard deviation measures spread of the data, $B$ will be having a greater standard deviation because more data values in $B$ are away from the median compared to $A$