Download CC.2.4.HSB2a Interpret the means and or medians of two sets of

PA Reporting Category: Mathematics
PA Core Standards: CC.2.4.HS.B.2: Summarize, represent, and interpret data on two categorical and
quantitative variables.
Assessment Anchor: n/a
Descriptor: n/a
Eligible Content: n/a
Alternate Eligible Content Code: CC.2.4.HSB2a
Alternate Eligible Content: Interpret the means and/or medians of two sets of data
Alternate Eligible Content - Coded
Context
DO
Know
 Of two sets of data
 Interpret
 Means and/or medians
Definition notes: The "mean" is the "average", all the numbers added and then divide by how many numbers
there are. The median is the "middle" of a sorted list of numbers.
Intent Statement: To demonstrate understanding of the meaning of two set of data related to either the mean or
the median.
1. Most Complex Level (at the level as written):
 Content target: When provided with two sets of data, the student will interpret data to respond to questions
regarding the median.
 Example: Provide two sets of data as shown below. Set A: Mr. Smith’s classroom and Set B: Mrs. Myer’s
classroom, and explain that the data shows the number of children that are in each student’s family. Then
ask “Which classroom has the lowest median of children in each student’s family?”
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Step one: add the numbers in each column.
Step two: order the number in each classroom.
Step three: find the middle/median number for each classroom.
Step four: Answer question: Which classroom has the lowest median of children in each student’s family?
Answer: _________________________________________________________________________
B: Mrs. Myer’s Classroom
A: Mr. Smith’s Classroom
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2. Mid-Complex Level:
 Content target: When provided with two sets of data, the student will interpret data to respond to questions
regarding the median.
 Example: Explain and point to boxes as you give the following directions: “Here are two boxes, Box - A and
Box - B. Which Box has the biggest number in the middle, Box - A or Box - B?”
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Step one: Find the middle in each box by crossing out (or covering) the number at each end, one end
and then the other end. Repeat crossing out the numbers, one end and then the other end until only
the middle number is left for each box. (demonstrate for student).
Step two: Look at both numbers that are left in each box; these are the middle numbers. Show/find
the box with the biggest middle number.
Box - A
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Box - B
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3. Least Complex Level:
 Content target: When provided with 3 objects or pictures, the student will locate the middle of an array of 3
or 5 objects/pics in response to find, show, name, sign the one in the middle that is biggest or smallest.
 Example: Explain that there are two groups of objects. Then have the student cover the objects on each end
for each group of objects to find the middle. Then ask the student compare the two groups that are left and
show you the biggest. Use language level appropriate for the student.