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MATHEMATICS OBJECTIVE
Students will be able to:
Make qualitative and quantitative inferences from a sample data set.
Make estimates about a population based on a sample data set, and assess whether the inferences are valid.
ESSENTIAL UNDERSTANDING
Data from random samples can be used to make valid inferences about a population by looking for patterns or trends in the distribution of the data, using measures of center and variability, and using proportional reasoning.
I can use data sets to make predictions based on numbers.
I can use data sets to make a prediction based on descriptions (not using numbers).
I can make estimates about a population based on a sample data set and assess whether it is valid.
ANALYZING DATA FROM A RANDOM SAMPLE
You can analyze numerical data from a random sample to draw inferences
about the population. Measures of center, like mean and median, and
measures of variability, like range, can be used to analyze the data in a sample.
DOT PLOT: HOURS OF SLEEP PER NIGHT
Horizontal axis label: Hours of Sleep per Night.
Axis runs from 8 to 10 1/4 hours in increments of 1/4 hour.
Individual data values are shown as blue dots above the axis.
A curved distribution outline shows the overall shape of the data.
Arrows label the median and mean near the center of the distribution.
RANGE
The range is 10 1/4 - 8 = 2 1/4 hours.
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