In this topic, students will:
identify statistical questions
write statistical questions and display the collected data
determine the mean, median, mode, and range of a data set
display data in a box plot
interpret and analyze a box plot
organize data into equal intervals and display data in frequency table or histogram
interpret and analyze a histogram
calculate the mean absolute deviation (MAD) and interquartile range (IQR) of a data set
summarize data using measures of variability
select the most appropriate measure of center and variability for a data set
use measures to describe data sets
describe the center, spread, and overall shape of a data set
summarize numerical data sets using measures of center and related measures of variability
Vocabulary:
Statistical question - anticipates that there will be a variety of answers
Mean - the average of a set of numbers
Median - place the numbers in value order and find the middle number
Mode - the most frequently occurring number
Range - a measure that can be used to describe the variability of a data set
Box plot - a way to display the distribution of numerical data values on a number line
Quartiles - divides a data set into four equal groups
Frequency table - shows the number of times a data value or a range of data values occurs in a data set
Histogram - a graph that uses bars to show the frequency of equal ranges or groups of data
Absolute deviation - the absolute value of the difference between a value and the mean
Mean absolute deviation (MAD) - describes how spread out the data values are from the mean
Interquartile range (IQR) - describes the difference between the third and first quartile
Outlier - a piece of data that does not seem to fit the rest of the data set
Data distribution - a set of numerical data collected to answer a statistical question has a distribution that can be described by its center, spread, and overall shape