Here is the list of data values for those observations where cereal is rated good. Cereals Rated Good 72 30 53 53 69 43 48 26 54 Arrange the data in numerical order. 26 30 43 48 53 53 54 69 72 Let's locate the median. The median, or middle number, divides the data into two equally sized halves. The number of observations, n, in the data set influences how to find the value of the median. When n is odd, the single middle value is the median. When n is even, the median is the average of the middle two values. For this data set, n is odd ✔, so the median is the single middle value median = 53 Next, find the lower and upper quartiles. The lower quartile is the median of the lower half while the upper quartile is the median of the upper half. To find the lower quartile, find the median of the lower half of the data. The lower half consists of all values that sit below the median but not including the median. The lower half is listed below, and you can verify that n is even for the lower half which means the median will be the average of the middle two values. 26 30 43 48 lower quartile = 48 x To find the upper quartile, find the median of the upper half of the data. The upper half consists of all values that sit above the median but not including the median. The upper half is listed below and you can verify that n is even for the upper half which means the median will be the average of the middle two values. 53 54 69 72 upper quartile = 53 X
Here is the list of data values for those observations where cereal is rated good. Cereals Rated Good 72 30 53 53 69 43 48 26 54 Arrange the data in numerical order. 26 30 43 48 53 53 54 69 72 Let's locate the median. The median, or middle number, divides the data into two equally sized halves. The number of observations, n, in the data set influences how to find the value of the median. When n is odd, the single middle value is the median. When n is even, the median is the average of the middle two values. For this data set, n is odd ✔, so the median is the single middle value median = 53 Next, find the lower and upper quartiles. The lower quartile is the median of the lower half while the upper quartile is the median of the upper half. To find the lower quartile, find the median of the lower half of the data. The lower half consists of all values that sit below the median but not including the median. The lower half is listed below, and you can verify that n is even for the lower half which means the median will be the average of the middle two values. 26 30 43 48 lower quartile = 48 x To find the upper quartile, find the median of the upper half of the data. The upper half consists of all values that sit above the median but not including the median. The upper half is listed below and you can verify that n is even for the upper half which means the median will be the average of the middle two values. 53 54 69 72 upper quartile = 53 X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
please explain what i'm doing wrong

Transcribed Image Text:(b) Calculate the interquartile range for just the cereals rated good. Is this value greater than, less than, or about equal to the interquartile range computed in part (a)?
Here is the list of data values for those observations where cereal is rated good.
Cereals Rated Good
72 30 53 53 69
Arrange the data in numerical order.
26 30 43 48 53 53 54
26 30 43 48
lower quartile = 48
Let's locate the median. The median, or middle number, divides the data into two equally sized halves. The number of observations, n, in the data set influences how to find the value of the
median. When n is odd, the single middle value is the median. When n is even, the median is the average of the middle two values. For this data set, n is odd
so the median is the
single middle value
+
I
median = 53
43
Next, find the lower and upper quartiles. The lower quartile is the median of the lower half while the upper quartile is the median of the upper half.
To find the lower quartile, find the median of the lower half of the data. The lower half consists of all values that sit below the median but not including the median. The lower half is listed below,
and you can verify that n is even for the lower half which means the median will be the average of the middle two values.
53 54 69 72
48
upper quartile = 53
26 54
X
69 72
To find the upper quartile, find the median of the upper half of the data. The upper half consists of all values that sit above the median but not including the median. The upper half is listed below
and you can verify that n is even for the upper half which means the median will be the average of the middle two values.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman