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Confidence Interval - Rounding WORKSHEET

Suitable for Grades: Algebra II, IM 2
CCSS: HSN.Q.A.3, HSS.ID.A.4
CCSS Description: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

Confidence Interval - Rounding WORKSHEET DESCRIPTION

In this error intervals worksheet, students are tasked with finding upper and lower bounds for rounded numbers and writing error intervals.

In Section A, students work with numbers rounded to different levels of accuracy, including: nearest integer, 100, 1 decimal place and 2 significant figures. For each rounded number, they must calculate the upper and lower bounds, then express the error interval in inequality form. This section involves several practical examples with varied levels of precision, reinforcing the concept of rounding and approximation.

Section B extends this skill by applying it to real-world scenarios, such as distances, altitudes, and measurements, where students must write error intervals based on given rounded values.