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Name: _______________________________________________________ Period _______
Unit 2 Proficiency Scale #2
Statistics
Common Core State Standards for Mathematics
Strand: Descriptive Statistics
Topic: Summarize and interpret data using measures of central tendency, measures of variation, and
measures of position.
Subject: Probability & Statistics
Score 4.0:
Score 3.0
In addition to Score 3.0, in-depth inferences and
application that go beyond what is taught.
I can investigate my own set of data by creating
data displays and calculating measures of central
tendency, measures of variation, and measures of
position. I can answer questions such as…
 What would have happened if an outlier
existed in your data set? How would you
determine if an outlier existed?
 What was the best way to represent your
data? Explain why.
3.5 In addition to score 3.0, in-depth
inferences and applications with partial
success.
I, as the student, can:
 Describe data sets using measures of central
tendency, measures of variation, or
measures of position
 Evaluate the suitability and limitations of
using measures for different situations
Data project

Compare the two brands of paint below by calculating
measures of central tendency and measures of variation for
each. Which measure(s) would best represent this data? Why?
Which brand of paint would you buy? Justify your answer by
providing specific calculations and an explanation.
Brand A
Brand B
10
35
60
45
50
30
30
35
40
40
20
25
2.5
Score 2.0
I made no major errors or omissions
regarding 2.0 content and partial
knowledge of 3.0 content
I can recognize or recall specific vocabulary,
such as:
 Mean, median, mode, midrange, weighted
Sample Tasks


Use the vocabulary correctly
In a beauty contest, the scores awarded by eight judges were:
5.9, 6.7, 6.8, 6.5, 6.7, 8.2, 6.1, 6.3
mean, range, variance, standard deviation,
outlier, decile, quartile, interquartile range,
bimodal, data array
I can perform basic processes, such as:
 Compute the mean, median, mode,
midrange, range, variance, standard
deviation, and percentile rank.


Using the eight scores, determine:
the mean, the median, the mode, and the
midrange.
A sample of 12 drivers shows the time that they spent (in
minutes) stopped in rush-hour traffic on a specific snowy day
last winter.
52, 56, 53, 61, 49, 51, 53, 58, 53, 60, 71, 58
Find the range, variance, and standard deviation.
The math test scores were: 50, 65, 70, 72, 72, 78, 80, 82, 84, 84,
85, 86, 88, 88, 90, 94, 96, 98, 98, 99.
A. Using the percentile formula, find the percentile rank
for a score of 84 on this test.
B. Using the percentile formula, find the percentile rank
for a score of 86 on this test.
1.5
Score 1.0
Score 0.0
I have partial knowledge of the 2.0 content
but major errors or omissions regarding
the 3.0 content.
With help, a partial understanding of some of the
simpler details and processes and some of the
more complex ideas and processes.
0.5 With help, I have a partial understanding
of the 1.0 content but not the 2.0 content.
Even with help, no understanding or skill
demonstrated.
In the beginning of this unit, I was a _____________.
At the end of the unit, I was a _____________.
Partially through this unit I was a _____________.
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