Statistics Quiz 1.3 - 1.5 Quantitative Data: Dot-plots, Stem-and-Leaf, Histograms

A small town needed to raise money to clean up a local polluted stream. The city council decided to hold a wing-eating contest to raise the money. The distribution of the number of wings eaten by competitors had a single peak and was right-skewed. Which one of the following dot-plots best matches this description?

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Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.B.4

CCSS.6.SP.B.5

A small town needed to raise money to clean up a local polluted stream. The city council decided to hold a jellybean count where participants would estimate the number of jellybeans in large jar. The distribution of the guesses of the number of jellybeans from participants had a single peak and was fairly symmetric. Which of the following dot-plots best matches this description?

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A statistics student wins a smartphone in raffle. The device is advertised to have 10 hours of continuous use on a single charge. The student collected data to determine if the advertised time was accurate. A stem-plot shows the observed continuous use times in hours.

Which of the following is the data set that would produce the stem-plot?

• 9.3, 9.4, 10.8, 11.1, 11.0, 10.9, 10.9, 10.7, 11.1, 9.2, 10.5, 10.6, 11.0, 9.3 ,10.8, 10.9, 9.4

• 109, 109, 107, 111, 92, 105, 106 ,110, 93 ,108, 109, 94 93, 94, 108, 111, 110

• 10.9, 10.9, 10.7, 11.1, 9.2, 10.5, 10.6 ,11.0, 9.3 ,10.8, 10.9, 9.4 9.3, 9.5, 10.8, 11.1, 11.0

• 109, 94 93, 94, 108, 111, 110, 92, 105, 106 ,110, 93 ,108, 109, 109, 107, 111

The stem-plot displays the lowest recorded temperatures (in degrees Fahrenheit) for all 50 states in the United States and the District of Columbia.

Which of the following are true?

I. The distribution of the record low temperature is roughly symmetric.

II. About 32.7% of the states have lowest recorded temperatures colder than -53 degrees.

III. There is and outlier at -2 degrees.

• I, II and III

• II and III

• I and III

• I only

The back-to-back stemplot displays the responses from samples of freshmen and seniors from a large high school about the number of tweets they posted in the last week.

Which one of the following correctly describes the distribution of number of tweets made by freshmen and seniors?

• Seniors tended to tweet more (center ≈ 56 tweets) than freshmen (center ≈14 tweets). The distribution of number of tweets posted by seniors is skewed to the left and single-peaked. The distribution of number of tweets posted by freshmen is roughly symmetric and single-peaked. Neither distribution appears to contain any outliers.

• Seniors tended to tweet more (center ≈ 43 tweets) than freshmen (center ≈12 tweets). The distribution of number of tweets posted by seniors is skewed to the right and single-peaked. The distribution of number of tweets posted by freshmen is roughly symmetric and single-peaked. Neither distribution appears to contain any outliers.

• Seniors tended to tweet more (center ≈ 52 tweets) than freshmen (center ≈18 tweets). The distribution of number of tweets posted by seniors is skewed to the right and single-peaked. The distribution of number of tweets posted by freshmen is roughly symmetric and single-peaked. Neither distribution appears to contain any outliers.

• Seniors tended to tweet more (center ≈ 60 tweets) than freshmen (center ≈16 tweets). The distribution of number of tweets posted by seniors is skewed to the left and single-peaked. The distribution of number of tweets posted by freshmen is roughly symmetric and single-peaked. Neither distribution appears to contain any outliers.

A correctly drawn histogram should have which of the following features?

I. There should be no gaps between the bars.

II. Only the horizontal axis needs to be labeled.

III. The vertical axis should always start at 0.

• I only

• III only

• I, II, and III

• I and III

This histogram displays fuel economy data (measured in miles per gallon) for a random sample sample of 50 cars

What percent of the cars have a fuel economy that is less than 20 miles per gallon?

• 16%

• 32%

• 10%

• 20%

The histogram displays the fuel economy (in miles per gallon) for a random sample of 1000 vehicles.

Which of the following is correct?

• The histogram is roughly symmetric. Approximately 68% of vehicles achieve between 25 and 35 mpg.

• The histogram is roughly symmetric. Approximately 58% of vehicles achieve between 25 and 35 mpg.

• The histogram is skewed right. Approximately 68% of vehicles achieve between 25 and 35 mpg.

• The histogram is skewed left. Approximately 58% of vehicles achieve between 25 and 35 mpg.

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Is there a difference in gas mileage between automobile manufacturers? All 174 vehicle models produced by General Motors and all 93 produced by Toyota from 2018 model year were selected. The histograms show the fuel economies for the vehicles (measured in miles per gallon)

Which if the following is INCORRECT ?

• The distribution of fuel economy for vehicles produced by General Motors is skewed to the right, with the exception of possible high outliers, the distribution of fuel economy for Toyota's vehicles is roughly symmetric.

• The centers of the distributions of the fuel economy for General Motors and Toyota are nearly the same, indicating vehicles from both companies appear to have similar gas mileage.

• The fuel economies for Toyota's vehicles vary less than General Motors.

• There are some possible high outliers in the Toyota distribution.

Which interval has 400 employees?

• 33-43
• 0-10
• 77-87
• 66-76