Question
Explain why the sum of the percents in a circle graph should always be
close to
Choose the correct answer below.
A. The percents are the degree measures of the sectors of the circle, and the circle represents the
complete whole, or
to
B. The percents are of a whole and the circle represents the complete whole, or
missing from the circle graph, so the percents will be close to
C. The percents are of a whole and the circle represents the complete whole, or
sum of the percents is always exactly
D. The percents are of a whole and the circle represents the complete whole, or
may happen that the sum of the percents is close to
close to
Choose the correct answer below.
A. The percents are the degree measures of the sectors of the circle, and the circle represents the
complete whole, or
to
B. The percents are of a whole and the circle represents the complete whole, or
missing from the circle graph, so the percents will be close to
C. The percents are of a whole and the circle represents the complete whole, or
sum of the percents is always exactly
D. The percents are of a whole and the circle represents the complete whole, or
may happen that the sum of the percents is close to
Ask by Flynn Daniel. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct answer is D: The percents are of a whole and the circle represents the complete whole, or
Solution
-
In a circle graph, each sector represents a portion of the whole, and the whole is always defined as
. -
If the data for a category is correctly determined, its percentage
will be calculated with respect to the complete whole. Then, the sum of all such calculated percentages must equal . -
However, when we compute the percentages for each category, we often round the calculated values to a certain number of digits (for example, the nearest whole percent). This rounding can cause the sum of the rounded percentages to be slightly different from
. -
Therefore, the phenomenon of obtaining a sum that is close to but not exactly
is due to the rounding process. -
Answer D correctly states that the percents are of a whole and that rounding may cause the sum to be close to
but not exactly .
Thus, the correct answer is D.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
Did you know that circle graphs, or pie charts, have been around since the 1800s? The concept of visually representing data as slices of a pie was popularized by the Scottish engineer William Playfair. He cleverly used these graphs to make data more digestible for the people of his time, showing that sometimes a picture really is worth a thousand words!
Now, speaking of rounding errors, it’s super common when creating these graphs! If you’re dealing with small data sets, the percentages derived might not add up perfectly to 100%. For example, if you round a few numbers to make them simpler, the total could end up slightly less or more than a whole. This is why the sum might be close to, but not exactly, 100%! Always double-check your calculations when making pie charts to keep the total on point! 🍰
