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Chapter 2: Q. 2.2 (page 70)

The following data show the distances (in miles) from the homes of off-campus statistics students to the college. Create a stem plot using the data and identify any outliers:

0.5;0.7;1.1;1.2;1.2;1.3;1.3;1.5;1.5;1.7;1.7;1.8;1.9;2.0;2.2;2.5;2.6;2.8;2.8;2.8;3.5;3.8;4.4;4.8;4.9;5.2;5.5;5.7;5.8;8.0

Short Answer

Expert verified

The stem plot of the data is,

Stemleaf

0|571|122335577892|02568883|584|4895|25788|0.

We may deduce that the distribution is uni-modal and that the modal point is in the 1's interval.
There is also an increase trend at the 5's interval.

Step by step solution

01

Given

Here we have

0.5;0.7;1.1;1.2;1.2;1.3;1.3;1.5;1.5;1.7;1.7;1.8;1.9;2.0;2.2;2.5;2.6;2.8;2.8;2.8;3.5;3.8;4.4;4.8;4.9;5.2;5.5;5.7;5.8;8.0

02

Explanation

We've been provided 30data points to work with.
Thisinformationwillbeusedtocreateastemandleafplot.
Thestemandleafplotshowsthesummaryofthedataandmakesitsimpletoseetheformofthedistributionaswellaswherethefrequencyishighest.
To make sense of the data, we divide it into stem and leaf data, where 1|5equals 1.5and 0|9equals .
0.9So, we can observe that the data has the maximum frequency at 1's interval.

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Most popular questions from this chapter

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. 31–35

ii. 38–41

iii. 41–64

The following data are the number of pages in 40 books on a shelf. Construct a box plot using a graphing

calculator, and state the interquartile range.

136;140;178;190;205;215;217;218;232;234;240;255;270;275;290;301;303;315;317;318;326;333;343;

349;360;369;377;388;391;392;398;400;402;405;408;422;429;450;475;512

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 = _______

For the 100-meter dash, the third quartile for times for finishing the race was 11.5seconds. Interpret the third quartile in the context of the situation.

Listed are 29ages for Academy Award winning best actors in order from smallest to largest. 18;21;22;25;26;27;29;30;31;33;36;37;41;42;47;52;55;57;58;62;64;67;69;71;72;73;74;76;77a. Find the 40th percentile.

b. Find the 78th percentile.
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