Statistics Quiz 1.3-1.4 Displaying Quantitative Data

A group of friends wanted to take a 10-day backpacking trip to Wyoming. They checked the weather forecast for their destination's low temperatures. The dot-plot b shows the daily low temperatures (in degrees Fahrenheit)

What is the interpretation of the dot above 46 in the dot-plot?

• The dot above 46 represents the warmest day of the trip and about 60% of the days should be cooler than 41 degrees.

• The dot above 46 represents the last day of the trip and about 60% of the days should be cooler than 41 degrees.

• The dot above 46 represents the last day of the trip and about 70% of the days should be cooler than 41 degrees.

• The dot above 46 represents the warmest day of the trip and about 70% of the days should be cooler than 41 degrees.

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 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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• 
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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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Here are parallel dot-plots of the total number of medals earned by individual Olympic athletes in swimming and athletics (track and field) who have won multiple Olympic medals.

Which of the following are correct?

I. The distributions of the total number of medals earned for both swimming and track and field athletes are skewed to the right and single-peaked.

II. The center of distribution of the total number of medals earned by swimmers tends to be greater than the center of the distribution of the total number of medals earned by track and field athletes.

III. The total number of medals earned by swimmers varies more than the total number of medals earned by track and field athletes.

• II and III

• I only

• I and II

• I, II and III

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 florist records the amount of money he spent on gasoline each week to deliver orders. The list shows the data for 16 weeks.

32, 38, 40, 44, 44, 46, 49, 53, 55, 58, 62, 65, 68, 70, 72, 81

He put the data in a stem-and-leaf plot. What number did he leave out of the stem-and-leaf plot?

• 32

• 44

• 65

• 84

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.4

The following parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Which of the following correctly compares the shape of the distribution?

• The Indiana distribution is roughly symmetric, while the New Jersey distribution is right-skewed.

• The distribution for Indiana has a similar center to the distribution for New Jersey, around $45,000.

• The variability for Indiana is less than the variability for New Jersey.

• $160,000 appears to be an outlier for the Indiana distribution and there isn't any obvious outliers for the New Jersey distribution.

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The stem-plot displays the highest 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. About 98% of the states have highest recorded temperatures that are warmer than99 degrees.

II. The distribution of record high temperature is roughly symmetric.

III. There are no apparent outliers.

• I, II and III

• II and III

• I and III

• II only