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For each of the following data sets, create a stem plot and identify any outliers.

The miles per gallon rating for 30 cars are shown below (lowest to highest).19,19,19,20,21,21,25,25,25,26,26,28,29,31,31,32,32,33,34,35,36,37,37,38,38,38,38,41,43,43

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The stem plot of data is

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01

Content Introduction

A stem and leaf plot divides data into stems (the greatest digit) and leaves (the lowest digit) (the smallest digits). Stem-and-leaf diagrams are excellent for illustrating the relative density and form of data, providing a fast summary of the distribution to the reader. They keep (most) of the raw numerical data, which is typically in great condition. They can also be used to find the mode and identify outliers.

02

Content Explanation

The data is divided into 30points and utilized to create stem and leaf plot.

The stem and leaf plot shows a summary of the data and allows us to immediately examine the distribution's form as well as which areas of the data are frequently used.

The data stem plot is

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Most popular questions from this chapter

Find the interquartile range for the following two data sets and compare them.

Test Scores for Class A

69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94

Test Scores for Class B

90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100

Follow the steps you used to graph a box-and-whisker plot for the data values shown.

0;5;5;15;30;30;45;50;50;60;75;110;140;240;330

A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.

a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.

b. Which group is most likely to have an outlier? Explain how you determined that.

c. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?

d. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread?

e. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread?

f. Look at the BMW 5 series. Estimate the interquartile range (IQR).

g. Look at the BMW 5 series. Are there more data in the interval 31 to 38 or in the interval 45 to 55? How do you know this?

h. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?

i. 31โ€“35

ii. 38โ€“41

iii. 41โ€“64

What does the relative frequency column in Table 2.42 sum to? Why?

Use the following information to answer the next three exercises: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Calculate the following:

median = _______

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