Grade 10 MCAS OPEN RESPONSE QUESTION SPRING 2001 Exam, #40 The following is an “Open Response”...

Grade 10 MCAS OPEN RESPONSE QUESTION

SPRING 2001 Exam, #40The following is an “Open Response” question. It is important to practice

answering these types of questions in preparation for the state mandated MCAS. This exercise will help to walk you through

the process. There will also be some reference links to assist you.

INTRODUCTIONINTRODUCTION

How to answerHOW TO ANSWER AN HOW TO ANSWER AN

OPEN RESPONSE QUESTIONOPEN RESPONSE QUESTION

Be sure to... Read all parts of each question carefully.

Make each response as clear, complete and accurate as you can.

Check all your work!

TopicTOPICTOPIC

Use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare

different sets of data.

Describe and explain how the relative sizes of a sample and the population affect the validity of

predictions from a set of data.

Let’s get started

Grade 10 MCAS OPEN RESPONSE QUESTION

SPRING 2001 Exam, #40

Question Part A

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

a. Find the mean, median, and mode for these data. Explain or show how you found each answer.

I’d like a Go on to

A class of 25 students is asked to determine approximately how much time the average student spends on homework during a one-week period. Each student is to ask one of his/her friends for the information, making sure that no one student is asked more than once. The number of hours spent on homework per week are as

follows:

Hint A1


follows:8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

a. Find the mean, median, and mode for these data. Explain or show how you found each answer.

Go on to

Mean: Average Score add them up, then divide

by the number of scores.

Median: Middle Score after sorting

Mode: Most Frequently Occurring Remember to show your work!

Question Part B

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

I’d like a Go on to

b. Based on this sample, which measure (or measures) that you found in part a best describes the typical student? Explain your reasoning.


follows:

Hint B1

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

Go on to


follows:

Look at your answers for the mean, median, and mode. Do any of them seem to be

misleading? Why? Do any of them seem to

represent the group well? Why? Explain your reasoning

b. Based on this sample, which measure (or measures) that you found in part a best describes the typical student? Explain your reasoning.

Question Part C

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

I’d like a

c. Describe a sampling procedure that would have led to more representative data.


follows:

Click Here When You’re

Hint C1

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

Click Here When You’re


follows:

Why might someone doubt that this survey truly represents the

average student?

What could the class do to improve their survey?

c. Describe a sampling procedure that would have led to more representative data.

Scoring IntroNow that you’ve finished the problem,Now that you’ve finished the problem,

MCAS Open Response questions are graded as either a 4,3,2,1 or 0 with 4 being the best possible score.

The following pages are examples of work done by other students who earned those scores.

Please use the example of a 4 to check your answers.

You will also see the guidelines that were used to grade these answers. As you look over these

pages, try to rate your own answer as a 4,3,2,1or 0.

Sample Score 4This student earned a

The response demonstrates

comprehensive understanding of mean,

median, mode, and effectively communicates

information about the data and sampling procedure. As a result, the response

merits a 4

What is a 4?


The response demonstrates general

understanding of mean, median, mode, and

communicates information about the data and

sampling procedure.

As a result, the response merits a 3

What is a 3?


The response demonstrates basic

understanding of mean, median, mode, and/or

communicates information about the data and

sampling procedure.


What is a 2?


The response demonstrates limited

understanding of mean, median, mode, and/or does

not effectively communicate information

about the data and sampling procedure. Some work may be incorrect o missing. As a result, the

response merits a 1

What is a 1?


The response is incorrect or contains some correct work that is irrelevant to the skill or concept being

measured.


What is a 0?

EVALUATION

Now that you’ve seen how the scores are graded,

how did you do?

Try to rate yourself. Would you say that you earned a 4,3,2,1, or 0?

REFERENCESREFERENCESIf you had trouble with this problem, click on the

links below to see some web sites that can help you understand some of the concepts involved.

http://mathforum.org/dr.math/

http://www.algebra.com/algebra/homework/coordinate/

http://school.discovery.com/homeworkhelp/webmath/

http://www.doe.mass.edu/mcas/

http://mathforum.org/dr.math/

http://www.algebra.com/algebra/homework/coordinate/






http://www.doe.mass.edu/mcas/

CONCLUSIONCONCLUSION

Call a friend, have them do the same problem and you can talk about it.

to try another Problem

Hopefully, this has been a helpful experience for you. The only way to improve is to practice, and

there are other problems like this one available for you to try if you are up to the challenge!

-- or --

-- or -- Take a break, you’ve earned it!

Grade 10 MCAS OPEN RESPONSE QUESTION SPRING 2001 Exam, #40 The following is an “Open Response”...

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