Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
Mentally find the distance between the two values on a number line.
70 and 62
70 and 70
70 and 79
70 and 97
4.2
Activity
Suspicious Descriptions
Standards Alignment
Building On
Addressing
6.SP.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
If you disagree, explain the error and write the correct description. Explain how you know it is correct.
The distribution is bell-shaped since there is a central peak for symmetric data that is less frequent on the ends.
The distribution is symmetric because if the distribution were cut in half, both sides would be the same shape.
The distribution is uniform because there seems to be the same amount of data points across the entire distribution.
The distribution is symmetric because if the distribution were cut in half, both sides would be the same shape.
The distribution is skewed left since most of the data is on the left side of the distribution.
4.3
Activity
Data Shapes
Standards Alignment
Building On
Addressing
6.SP.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Describe the shape of each distribution using the term ”approximately,” “symmetric,” “bell-shaped,” “skewed left,” “skewed right,” “uniform,” or “bimodal.” Estimate the center of each distribution.
A
B
C
D
E
F
G
Dot plot from 1 to 6 by 1’s. 1 point 6, 10 dots. 1 point 8, 11 dots. 2, 10 dots. 2 point 2, 5 dots. 2 point 5, 2 dots. 2 point 8, 1 dot. 3, 1 dot. 3 point 3, 4 dots. 3 point 6, 6 dots. 3 point 8, 7 dots. 4, 7 dots. 4 point 2, 7 dots. 4 point 4, 9 dots. 4 point 6, 11 dots. 4 point 8, 8 dots. 5, 8 dots. 5 point 2, 1 dot.
H
Glossary
None
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Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.