Acorns and oak trees Of the many species of oak trees in the United States, 28 grow on the Atlantic Coast and 11 grow in California. The back-to-back stemplot displays data on the average volume of acorns (in cubic centimeters) for these 39 oak species. 29 Write a few sentences comparing the distributions of acorn size for the oak trees in these two regions.

Short Answer

Expert verified

The distribution on the Atlantic Coast is skewed to the right, whereas the distribution in California is roughly symmetric.

The Atlantic distribution appears to be devoid of outliers, whereas the California distribution appears to contain one.

The Atlantic Coast distribution's median is lower than the California distribution's median.

The variability in the Atlantic Coast distribution appears to be lower than in the California distribution.

Step by step solution

01

Step 1. Given information. 

Leaf (Atlantic Coast)StemLeaf (California)
99864304
88864211111106
50206
66403
841

559
860

71
18
19
510

11

12

13

14

15

16

171

Key: 26represent an oak species with acorn volume2.6cm3

02

Step 2. comparing the distributions of acorn size for the oak trees in these two regions.   

The Atlantic Coast distribution is skewed to the right (with the majority of data values near the top of the stemplot and a tail of more unusual data values near the bottom), whereas the California distribution is roughly symmetric (as most of the data value lie in the middle of the stemplot, when ignore the outlier).

The Atlantic Coast distribution appears to be devoid of outliers (as evidenced by the absence of large gaps in the stemplot), whereas the value 17.1 appears to be an outlier in the California distribution (as the value is separated from the rest of the data by a large gap).

The median is the value in the middle of the sorted data set. The median of the Atlantic Coast distribution (1.7 cm3) appears to be less than that of the California distribution (41 cm3).

The Atlantic Coast distribution appears to have less variability than the California distribution, with data values ranging from 0.3 cm3 to 10.5 cm3, whereas data values for California range from 0.4 cm3 to 171 cm3.

As a result:

The distribution on the Atlantic Coast is skewed to the right, whereas the distribution in California is roughly symmetric.

The Atlantic distribution appears to be devoid of outliers, whereas the California distribution appears to contain one.

The Atlantic Coast distribution's median is lower than the California distribution's median.

The variability in the Atlantic Coast distribution appears to be lower than in the California distribution.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The Dallas Mavericks won the NBA championship in the 2010–2011 season. The two-way table displays the relationship between the outcome of each game in the regular season and whether the Mavericks scored at least 100 points.

Which of the following is the best evidence that there is an association between the outcome of a game and whether or not the Mavericks scored at least 100 points?

(a) The Mavericks won 57 games and lost only 25 games.

(b) The Mavericks scored at least 100 points in 47 games and fewer than 100 points in only 35 games.

(c) The Mavericks won 43 games when scoring at least 100 points and only 14 games when scoring fewer than 100 points.

(d) The Mavericks won a higher proportion of games when scoring at least 100 points (43/47) than when they scored fewer than 100 points (14/35).

(e) The combination of scoring 100 or more points and winning the game occurred more often (43 times) than any other combination of outcomes.

Who studies more? Researchers asked the students in a large first-year college class how many minutes they studied on a typical weeknight. The back-to-back stemplot displays the responses from random samples of 30 women and 30 men from the class, rounded to the nearest 10 minutes. Write a few sentences comparing the male and female distributions of study time.

Going to school Students in a high school statistics class were given data about the main method of transportation to school for a group of 30 students. They produced the pictograph shown. Explain how this graph is misleading.

Phone navigation The bar graph displays data on the percent of smartphone owners in several age groups who say that they use their phone for turn-by-turn navigation.

(a) Describe what the graph reveals about the relationship between age group and use of smartphones for navigation.

(b) Would it be appropriate to make a pie chart of the data? Explain.

Country music The lengths, in minutes, of the 50 most popular mp3 downloads of songs by country artist Dierks Bentley are given here.

Make a histogram to display the data. Write a few sentences describing the distribution of song lengths.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free