lesson
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Your teacher says, "There are about 20 students in the music room!" What are the fewest and most students that could actually be in there?
Let's find out how rounding works when we count whole objects.
Counting Whole Things
Understanding discrete data starts with counting separate, distinct values like people, coins, or items in a box that cannot take fractional values.
In contrast, continuous data (such as length, mass, or time) can take any value along an unbroken continuum.
Understanding discrete data means working with distinct, countable values—such as people, coins, or items in a box—that cannot take fractional values.
By contrast, continuous data can take any numerical value along a smooth continuum, such as length, time, or temperature.
📊Interactive diagram
When we round a count of whole items, what are the smallest and largest whole numbers that fit?
Smallest and Largest Limits
The smallest possible number is the lower bound, and the biggest possible number is the upper bound.
To find the bounds, first identify the rounding unit (U), such as the nearest 10, nearest 50, or nearest 100.
To find boundaries, first identify the rounding unit (U), which is the degree of accuracy (e.g., nearest 10, 50, or 100). The theoretical interval half-width is 2U.