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Chapter 2: Q. 2.24 (page 100)

The following data set shows the heights in inches for the boys in a class of 40students.

66;66;67;67;68;68;68;68;68;69;69;69;70;71;72;72;72;73;73;74

The following data set shows the heights in inches for the girls in a class of 40students.

61;61;62;62;63;63;63;65;65;65;66;66;66;67;68;68;68;69;69;69

Construct a box plot using a graphing calculator for each data set, and state which box plot has the wider spread for the middle 50%of the data.

Short Answer

Expert verified
The box plot shows that the distribution for boys is positively skewed, whereas the distribution for girls is symmetrical.
And the larger section is geared more toward females than boys.

Step by step solution

01

Introduction

The box plot of the 2sets of data where1stset is of20boys and2ndset is of20girls.

02

Explanation

03

Step : 3 Explanation 

The shape of the distribution is defined by the box plot.
It provides an overview of the quartiles.
As a result, we can quickly grasp the concepts of skewness and median.
The fundamental aspect of a boxplot is that it is primarily used to find outliers.
An outlier is a star that is outside of the acceptable range and is indicated on the plot.
There is no outlier in our situation.
The 1stquartiles are represented by the end point of the boxplot below, while the 3rdquartile is represented by the end point of the boxplot above.
So the data in the boxplot is 50%of the data, and the data outside of the interval is 50%of the data.
We can see that the 50%spread area is larger for females than it is for boys.

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Most popular questions from this chapter

a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?

b. The 40th percentile of speeds in a particular race is7.5 miles per hour. Write a sentence interpreting the 40th percentile in the context of the situation.

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976鈥�1977 through 2004鈥�2005.

鈥� 渭 = 1000 FTES

鈥� median = 1,014 FTES

鈥� 蟽 = 474 FTES

鈥� first quartile = 528.5 FTES

鈥� third quartile = 1,447.5 FTES

鈥� n = 29 years

Compare the IQR for the FTES for 1976鈥�77 through 2004鈥�2005 with the IQR for the FTES for 2005-2006 through 2010鈥�2011. Why do you suppose the IQRs are so different?

Describe the shape of this distribution.

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X= the number of pairs of sneakers owned. The results are as follows:

a. Find the sample meanx炉.

b. Find the sample standard deviation, s

c. Construct a histogram of the data.

d. Complete the columns of the chart.

e. Find the first quartile.

f. Find the median.

g. Find the third quartile.

h. Construct a box plot of the data.

i. What percent of the students owned at least five pairs?

j. Find the 40thpercentile.

k. Find the 90thpercentile.

l. Construct a line graph of the data.

m. Construct a stemplot of the data.

Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in Table 2.69. Also, include left endpoint, but not the right endpoint.

a. What percentage of the survey answered "not sure"?

b. What percentage think that middle-class is from \(25,000 to \)50,000? c. Construct a histogram of the data.

i. Should all bars have the same width, based on the data? Why or why not?

ii. How should the <20,000 and the 100,000+ intervals be handled? Why? d. Find the 40th and 80th percentiles

e. Construct a bar graph of the data
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