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Subject:
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Mathematics
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Grade:
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5-8
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ICLE Standards:
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Statistics:
Construct, read and interpret tables, charts, and graphs.
Make inferences and convincing arguments that are based on data analysis.
Mathematics as Communication:
Model situations using oral, written, concrete, pictorial, graphical and
algebraic methods.
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Performance Task:
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Mark works as a market analyst. A market analyst
collects and analyzes data to identify factors affecting business. This enables retailers, wholesalers, and manufacturers to make
informed decisions. On one assignment Mark was asked to record the number of shoppers entering a
particular store in a mall which is open from 9 a.m. until 9 p.m. The chart below shows the data he collected.
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Display the number of shoppers for each hour in a stem-and-leaf plot.
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Using the intervals 50-59, 60-69, etc., make an histogram showing the
data in your stem-and-leaf plot.
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Make a box-and-whiskers plot of the data.
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State two inferences that you can make from the pictorial
representations of the data.
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Time |
# of Shoppers |
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9 a.m. - 10 a.m. |
50 |
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10 a.m. - 11 a.m. |
54 |
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11 a.m. - 12 Noon |
56 |
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12 Noon - 1 p.m. |
84 |
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1 p.m. - 2 p.m. |
78 |
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2 p.m. - 3 p.m. |
58 |
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3 p.m. - 4 p.m. |
66 |
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4 p.m. - 5 p.m. |
72 |
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5 p.m. - 6 p.m. |
74 |
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6 p.m. - 7 p.m. |
98 |
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7 p.m. - 8 p.m. |
78 |
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8 p.m. - 9 p.m. |
62 |
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Knowledge / Skills:
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Perform operations with signed (positive and
negative) numbers, including decimals, ratios, percents, and
fractions. (m1)
Understand the best procedures for statistical
data collection, organization, and display. (m5)
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Rubric:
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4 Points =
The student makes a complete and meaningful response to all parts of
the task. He/she shows an understanding of the ways in which data can be
represented and is able to compute the necessary measures to effectively
and accurately display the data. The student is able to analyze his/her
work and make two reasonable inferences based on the data and his/her work.
3 Points = The student shows some lack of
understanding of major ideas but is able to make a meaningful response to
most parts of the task. The student is able to make only one reasonable
inference based on the data and his/her work.
2 Points = The student shows little understanding
of major ideas and is unable to make a meaningful response to most parts of
the task. Work is sketchy and incomplete. Pictorial representations are
poorly constructed. The student is unable to make a reasonable inference based on
the data and his/her work.
1 Point = The student shows no understanding of the major ideas and is
unable to make any meaningful response to any part of the task. Work is very
disorganized and inaccurate. Pictorial representations are incomplete
and/or incorrect. The student is unable to make any reasonable inference
based on the data and his/her work.
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Keywords:
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STATISTICS
DATA ANALYSIS
GRAPHS
INFERENCE
PROBLEM SOLVING
STATISTICS IN DAILY LIFE
DATA DISPLAY
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Grades:
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Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [X]
- 6 [X] - 7 [X] - 8 [X] - 9 [] - 10 [] - 11 [] - 12 []
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ICLE Application:
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D
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© 2000 International
Center for Leadership in Education
1587 Route 146 - Rexford - NY - 12148
518.399.2776 Fax: 518.399.7607
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