Lesson 1.9 Content Check - finding the location in a distribution - WENDY NOSAL | Library

Required

1

The dotplot shows the number of wins for each of the 30 Major League Baseball teams in the 2014 season:

Find the percentile for the Boston Red Sox, who won 71 games.
Round your answer to one place past the decimal point.
Include the % sign.

Required

1

The New York Yankees’ number of wins is at the 60th percentile of the distribution.
Interpret this value in context.

Required

1

The New York Yankees’ number of wins is at the 60th percentile of the distribution.
How many games did New York win?
Hint: what is 60% of 30? This tells you where their value is in the dotplot above compared to the other data, then look just to the right of your answer.

How many pairs of shoes does a typical teenage boy own? To find out, a group of statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. 
Here are the data:
14, 7, 6, 5, 12, 38, 8, 7, 10, 10, 10, 11, 4, 5, 22, 7, 5, 10, 35, 7

Copy and paste the list into statsmedic.com/applets

Required

1

Martin is the student who reported owning 22 pairs of shoes. Observe a dotplot in statsmedic.com/applets of the data distribution.
Find Martin’s percentile.

Martin's percentile is: _______ 

The following figure is a cumulative relative frequency graph of the amount spent by a sample of 50 grocery shoppers at a store.

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1

What is the percentile for the shopper who spent $20.00?

The percentile for the shopper who spent $20.00 is %

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1

Using the information from #10, estimate the 80th percentile of the distribution.
The 80th percentile is about
Make sure to use units ($) since we are using money.

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1

The heights of the 25 students in Mrs. Nosal’s statistics class have a mean of 67 in. and a standard deviation of 4.29 in. 
Find the standardized score (z-score) for Boris, a member of the class who is 76 in. tall.
The standardized score (z-score) of Boris = _______ 
Make sure to round your answer to three places past the decimal point.

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1

Interpret the z-score for Boris.

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1

Based on data from the 2010 U.S. Census, the percent of residents aged 65 or older in each of the 50 states and the District of Columbia has a mean of 13.26% and standard deviation 1.67%.

Find the standardized score (z-score) for the state of Colorado, which had 9.7% of its residents age 65 or older.

The z score for Colorado is: _______ 
Remember to round your answer to three places past the decimal point.

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1

What does the answer for #14 mean?

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1

Use the information from the previous question. 
The standardized score for Florida is z = 2.60. Find the percent of the state’s residents that were 65 or older.
Set up the formula for Z-score and solve for the missing value.
Remember the mean = 13.26% and standard deviation = 1.67%.
The percent of Florida's residents that are 65 or older is about _______ %
Round the percent to one place past the decimal point.

Required

1

Interpret the meaning of Florida's z-score of 2.60, explain the meaning in the blank below.
Hint: check your notes.

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7

Match the vocabulary word with its meaning.

Draggable item		Corresponding Item
Outlier		Exreme value that doesn't appear to belong with the rest of the data.
Q1		The middle value in the data set when ordered least to greatest. 50% of the data is less and 50% of the data is greater than the median.
Median		The average of the data values
IQR		Interquartile Range- the range of the middle 50% of the data values.
Standard Deviation		The average distance from the mean of all the data values.
Mean		1st quartile, 25% of the data is less than Q1
Q3		3rd quartile, 75% of the data is less than Q3

Required

5

Match the data distributions with the correct measure of center & variability based on their shape:

Item 1
Item 2

Median & IQR
Mean & S.D.

Required

1

Lesson 1.9 Content Check - finding the location in a distribution

The dotplot shows the number of wins for each of the 30 Major League Baseball teams in the 2014 season:Find the percentile for the Boston Red Sox, who won 71 games. Round your answer to one place past the decimal point.Include the % sign.

The New York Yankees’ number of wins is at the 60th percentile of the distribution. Interpret this value in context.

The New York Yankees’ number of wins is at the 60th percentile of the distribution. How many games did New York win?Hint: what is 60% of 30? This tells you where their value is in the dotplot above compared to the other data, then look just to the right of your answer.

What is the percentile for the shopper who spent $20.00?The percentile for the shopper who spent $20.00 is %

Using the information from #10, estimate the 80th percentile of the distribution.The 80th percentile is about Make sure to use units ($) since we are using money.

Interpret the z-score for Boris.

What does the answer for #14 mean?

Interpret the meaning of Florida's z-score of 2.60, explain the meaning in the blank below. Hint: check your notes.

Match the vocabulary word with its meaning.

Match the data distributions with the correct measure of center & variability based on their shape:

Given the summary statistics below from Statsmedic.com/applets:What do you know about the shape of the data distribution?

The dotplot shows the number of wins for each of the 30 Major League Baseball teams in the 2014 season:

Find the percentile for the Boston Red Sox, who won 71 games.
Round your answer to one place past the decimal point.
Include the % sign.

The New York Yankees’ number of wins is at the 60th percentile of the distribution.
Interpret this value in context.

The New York Yankees’ number of wins is at the 60th percentile of the distribution.
How many games did New York win?
Hint: what is 60% of 30? This tells you where their value is in the dotplot above compared to the other data, then look just to the right of your answer.

What is the percentile for the shopper who spent $20.00?

The percentile for the shopper who spent $20.00 is %

Using the information from #10, estimate the 80th percentile of the distribution.
The 80th percentile is about
Make sure to use units ($) since we are using money.

Interpret the meaning of Florida's z-score of 2.60, explain the meaning in the blank below.
Hint: check your notes.

Given the summary statistics below from Statsmedic.com/applets:
What do you know about the shape of the data distribution?