Question

determine whether the statement is true or false. if it is false, rewrite it as a true statement.
the difference between two consecutive midpoints is equal to the class width.
choose the correct answer below.
a. the statement is false. the difference between two consecutive midpoints is equal to twice the class width.
b. the statement is true. the midpoint is the sum of the lower and upper limits of the class divided by two. the distance between two consecutive lower (or upper) class limits is equal to the class width.
c. the statement is false. the difference between two consecutive midpoints is equal to one - half of the class width.
d. the statement is false. the difference between two consecutive midpoints is equal to the difference between the lower class limit and upper class limit for a class.

Explanation:

The mid - point of a class is calculated as $\frac{\text{lower limit}+\text{upper limit}}{2}$. The difference between two consecutive mid - points is equal to the class width. Option B correctly states that the mid - point is the sum of the lower and upper limits of the class divided by two, and the distance between two consecutive lower (or upper) class limits is equal to the class width.

Answer:

B. The statement is true. The midpoint is the sum of the lower and upper limits of the class divided by two. The distance between two consecutive lower (or upper) class limits is equal to the class width.