Fiber content (in grams per serving) for 18 high fiber cereals are shown below. Fiber Content 6 11 11 6 9 6 12 12 9 13 11 9 12 6 14 6 9 9 (a) Find the median, quartiles, and interquartile range for the fiber content data set. median = lower quartile = upper quartile = interquartile range = (b) Explain why the minimum value for the fiber content data set and the lower quartile for the fiber content data set are equal. The upper quarter of the data values are all the same value. The minimum value and the lower quartile are always the same value. The bottom quarter of the data values are all the same value.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Fiber content (in grams per serving) for 18 high fiber cereals are shown below.
Fiber Content
6
11
11
6
9
6
12
12
9
13
11
9
12
6
14
6
9
9
(a)
Find the median,
median
=
lower quartile
=
upper quartile
=
interquartile range
=
(b)
Explain why the minimum value for the fiber content data set and the lower quartile for the fiber content data set are equal.
The upper quarter of the data values are all the same value.
The minimum value and the lower quartile are always the same value.
The bottom quarter of the data values are all the same value.
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