Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the table below.# of booksFrequencyRelative Frequency018 124 225 321 415 510 75 91 Part (a)Fill in the relative frequency for each group. (Round your answers to four decimal places.)# of booksFrequencyRelative Frequency018 124 225 321 415 510 75 91 Part (b)Find the IQR and limits for outliers.IQR lower limit for outliers upper limit for outliers Using the IQR method, are there any outliers in the data? (Select all that apply.)Yes, the twenty-four values of 1 book.Yes, the eighteen data values of 0 books.Yes, the five data values of 7 books.Yes, the ten data values of 5 books.No, there are no outliers.Yes, the one data value of 9 books.Part (c)If a data value is identified as an outlier, what should be done about it? Part (d)Are any data values further than 2 standard deviations away from the mean? In some situations, statisticians may use this criteria to identify data values that are unusual, compared to the other data values. (Note that this criteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data. Round your answers to two decimal places.)x − 2s= x + 2s= What data points fall beyond two standard deviations? (Select all that apply.)the twenty-four values of 1 bookthe five data values of 7 booksthe ten data values of 5 booksnone of the data pointsthe eighteen data values of 0 booksthe one data value of 9 booksPart (e)Does the IQR method and the standard deviation method for determining outliers give the same answer?Yes or No ?Part (f)Examine the shape of the data. Which method for determining outliers, IQR or standard deviation, gives a more appropriate result for this data?the IQR methodthe standard deviation method Part (g)Based on the shape of the data, which is the most appropriate measure of center for this data: mean or median?meanmedian

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Description: Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the table below.# of booksFrequencyRelative Frequency018 124 225 321 415

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: Part (a) Fill in the relative frequency…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the table below.

# of books	Frequency	Relative Frequency
0	18
1	24
2	25
3	21
4	15
5	10
7	5
9	1

Part (a)

Fill in the relative frequency for each group. (Round your answers to four decimal places.)

# of books Frequency Relative Frequency

0 18

1 24

2 25

3 21

4 15

5 10

7 5

9 1
Part (b)

Find the IQR and limits for outliers.

IQR

lower limit for outliers

upper limit for outliers

Using the IQR method, are there any outliers in the data? (Select all that apply.)
Yes, the twenty-four values of 1 book.Yes, the eighteen data values of 0 books.Yes, the five data values of 7 books.Yes, the ten data values of 5 books.No, there are no outliers.Yes, the one data value of 9 books.
Part (c)

If a data value is identified as an outlier, what should be done about it?
Part (d)

Are any data values further than 2 standard deviations away from the mean? In some situations, statisticians may use this criteria to identify data values that are unusual, compared to the other data values. (Note that this criteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data. Round your answers to two decimal places.)

x − 2s =

x + 2s =

What data points fall beyond two standard deviations? (Select all that apply.)
the twenty-four values of 1 book

the five data values of 7 books

the ten data values of 5 booksnone of the data points

the eighteen data values of 0 books

the one data value of 9 books
Part (e)

Does the IQR method and the standard deviation method for determining outliers give the same answer?
Yes or No ?

Part (f)

Examine the shape of the data. Which method for determining outliers, IQR or standard deviation, gives a more appropriate result for this data?

the IQR method
the standard deviation method

Part (g)

Based on the shape of the data, which is the most appropriate measure of center for this data: mean or median?

mean
median

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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