Math III · S-ID.4

Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.

Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.

Concept Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Read normal mean and positive standard deviation separately

4 variants
Template 2

Estimate the percent within 1, 2, or 3 standard deviations of the mean using the empirical rule

4 variants
Template 3

Find the z-score of a value given the mean and standard deviation

4 variants
Template 4

Interpret z-score direction and absolute distance

4 variants
Template 5

Compute a normal area to four decimals

4 variants
Template 6

Find a normal cutoff to one decimal

4 variants
Template 7

Compare which value is relatively higher in its own normal distribution using z-scores

4 variants
Template 8

Decide whether a normal model is appropriate for a quantitative data set

4 variants
Template 9

Estimate a population percentage from a normal distribution using mean and standard deviation

4 variants
Template 10

Interpret how changing the mean or standard deviation changes a normal model

4 variants