Step 3 (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 43 48 28 54 Arrange the data in numerical order. 28 30 43 48 53 53 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 median is the single middle value so the median - 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. 28 30 43 48 lower quartile = | 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 =
Step 3 (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 43 48 28 54 Arrange the data in numerical order. 28 30 43 48 53 53 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 median is the single middle value so the median - 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. 28 30 43 48 lower quartile = | 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 =
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...
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Transcribed Image Text:Step 3
(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
43
48
28
54
Arrange the data in numerical order.
28 30 43 48 53 53
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
median is the single middle value
so the
median =
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.
28 30 43 48
lower quartile = |
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 =
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