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

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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.

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

The New York Yankees won more games than 40% of the MLB teams.

60% of the MLB teams won more games than the New York Yankees.

The New York Yankees won 60% of their games played that season.

The New York Yankees won more games than 60% of the 30 MLB teams.

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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

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

30%ile

20%ile

40%ile

50%ile

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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.

$70.00

$40.00

$50.00

$60.00

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Interpret the z-score for Boris.

The z-score means that Boris' height is about 1 standard deviation above the mean for Mrs. Nosal's class.

The z-score means that Boris' height is about average compared to the mean for Mrs. Nosal's class.

The z-score means that Boris' height is about 2 standard deviations below the mean for Mrs. Nosal's class.

The z-score means that Boris' height is about 1 standard deviation below the mean for Mrs. Nosal's class.

The z-score means that Boris' height is more than 2 standard deviations above the mean for Mrs. Nosal's class.

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What does the answer for #14 mean?

The state of Colorado is about 2.25 standard deviations below the mean for the US in % of residents over 65 years.

The state of Colorado is about 1.25 standard deviations above the mean for the US in % of residents over 65 years.

The state of Colorado is about 1.25 standard deviations below the mean for the US in % of residents over 65 years.

The state of Colorado is about average when compared to the mean for the US in % of residents over 65 years.

The state of Colorado is almost 2.25 standard deviations above the mean for the US in % of residents over 65 years.

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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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Match the vocabulary word with its meaning.

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

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

Item 1
Item 2

Median & IQR
Mean & S.D.

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

The mean is equal to the median.

The mean is greater than the median.

The data distribution is skewed left.

The data distribution is skewed right.

The mean is less than the median.

The data distribution is roughly symmetrical.

Lesson 1.9 Content Check - finding the location in a distribution

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 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?

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?