Refer to the following information from a frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". What are the class limits for the third class?
A)64 and up to 67
B)67 and 69
C)67 and up to 70
D)66 and 68

Question

Quizplus · Accepted Answer

The class midpoint is found by adding the lower and upper class limits and dividing by 2.

So, for the first class with a midpoint of 62.5", the lower class limit would be 61.5" (62.5" - 1") and the upper class limit would be 63.5" (62.5" + 1").

For the second class with a midpoint of 65.5", the lower class limit would be 64.5" (65.5" - 1") and the upper class limit would be 66.5" (65.5" + 1").

We can now infer that the third class will also have an interval width of 2 inches, and its midpoint will be 68.5 inches since it is halfway between the midpoint of the second class (65.5") and the next midpoint (71.5").

Therefore, the lower class limit for the third class would be 67" (68.5" - 1") and the upper class limit would be 70" (68.5" + 1"), so the answer is C.

Refer to the Following Information from a Frequency Distribution for Heights