7th Math SBAC Task Day 5

Ducklings

San Jose's local nature club is carrying out a survey of the number of ducklings in each family of ducks in Lake Lugo.

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

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a) Write the results of the survey in the table. The first box has been completed for you. 

b) Find the median number of ducklings in a family.

Here are the results of their survey (each number represents the ducklings in one family)
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

Show your work:

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c) Calculate the mean number of duckling in a family. Do not round your answer.

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

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d) What is the mode of the data set?

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

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e) Based on the nature club’s data, what is the probability that the next family of ducks they see has exactly 6 ducklings? Give your answer as a percent.

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f) What is the estimated probability of a random family of ducks having at least 8 ducklings?

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g) Researchers believe that there are about 500 families of ducks living in the area around Lake Lugo. Based on the club data, about how many of those families will have 9 ducklings?
Explain how you got your answer.

Let's Paint a Room

Your friend Sam wants to paint her room. She wants to paint
the ceiling white and the four walls purple. You are helping Sam
determine the cost and the amount of time needed to paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of 12 feet, and width of 10 feet as shown.

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a) What is the area, in square feet, of the ceiling?

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b) Sam needs to figure out how much paint to buy. Calculate for her the total area, in square feet, of the four walls. She will not paint the doors or windows.

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c) Part way through painting her room, Sam runs out of paint. She estimates that there are about 125 square feet left to paint.

The purple paint that Sam is using is only available in 1-quart cans.

Each can of paint covers 40 square feet. How many cans of paint does Sam need to buy to finish painting her room? Explain why.

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d) You decide to paint your room, too. Your room has 300 square feet of wall space to paint.
Sam says it took her 10 minutes to paint 25 square feet.
At this rate, how many hours would it take Sam to paint your room?

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e) Sam and you are going to paint your room together. Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint
25 square feet. Sam says, “If we paint together, then it will take 15 minutes for us to cover 50 square feet.”
Give an explanation to convince Sam that she is incorrect.

7th Math SBAC Task Day 5

b) Find the median number of ducklings in a family. Here are the results of their survey (each number represents the ducklings in one family)4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7Show your work:

c) Calculate the mean number of duckling in a family. Do not round your answer.Here are the results of their survey:4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

d) What is the mode of the data set? Here are the results of their survey:4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

e) Based on the nature club’s data, what is the probability that the next family of ducks they see has exactly 6 ducklings? Give your answer as a percent.

f) What is the estimated probability of a random family of ducks having at least 8 ducklings?

g) Researchers believe that there are about 500 families of ducks living in the area around Lake Lugo. Based on the club data, about how many of those families will have 9 ducklings? Explain how you got your answer.

a) What is the area, in square feet, of the ceiling?

b) Sam needs to figure out how much paint to buy. Calculate for her the total area, in square feet, of the four walls. She will not paint the doors or windows.

d) You decide to paint your room, too. Your room has 300 square feet of wall space to paint. Sam says it took her 10 minutes to paint 25 square feet. At this rate, how many hours would it take Sam to paint your room?

b) Find the median number of ducklings in a family. Here are the results of their survey (each number represents the ducklings in one family)4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7Show your work:

c) Calculate the mean number of duckling in a family. Do not round your answer.Here are the results of their survey:4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

d) What is the mode of the data set? Here are the results of their survey:4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

e) Based on the nature club’s data, what is the probability that the next family of ducks they see has exactly 6 ducklings? Give your answer as a percent.

f) What is the estimated probability of a random family of ducks having at least 8 ducklings?

g) Researchers believe that there are about 500 families of ducks living in the area around Lake Lugo. Based on the club data, about how many of those families will have 9 ducklings? Explain how you got your answer.

a) What is the area, in square feet, of the ceiling?

b) Sam needs to figure out how much paint to buy. Calculate for her the total area, in square feet, of the four walls. She will not paint the doors or windows.

d) You decide to paint your room, too. Your room has 300 square feet of wall space to paint. Sam says it took her 10 minutes to paint 25 square feet. At this rate, how many hours would it take Sam to paint your room?

b) Find the median number of ducklings in a family.

Here are the results of their survey (each number represents the ducklings in one family)
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

Show your work:

c) Calculate the mean number of duckling in a family. Do not round your answer.

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

d) What is the mode of the data set?

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

g) Researchers believe that there are about 500 families of ducks living in the area around Lake Lugo. Based on the club data, about how many of those families will have 9 ducklings?
Explain how you got your answer.

d) You decide to paint your room, too. Your room has 300 square feet of wall space to paint.
Sam says it took her 10 minutes to paint 25 square feet.
At this rate, how many hours would it take Sam to paint your room?

b) Find the median number of ducklings in a family.

Here are the results of their survey (each number represents the ducklings in one family)
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

Show your work:

c) Calculate the mean number of duckling in a family. Do not round your answer.

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

d) What is the mode of the data set?

Here are the results of their survey:
4, 7, 6, 5, 8, 7, 5, 4, 10, 4, 9, 6, 5, 4, 4, 5, 9, 9, 4, 7

g) Researchers believe that there are about 500 families of ducks living in the area around Lake Lugo. Based on the club data, about how many of those families will have 9 ducklings?
Explain how you got your answer.

d) You decide to paint your room, too. Your room has 300 square feet of wall space to paint.
Sam says it took her 10 minutes to paint 25 square feet.
At this rate, how many hours would it take Sam to paint your room?