Sugar content (in grams per serving) for 18 high-fiber cereals are shown below. Sugar Content 12 6 18 14 0 16 9 10 19 6 10 13 10 10 0 9 4 12 (a) Calculate the median, quartiles, and interquartile range (in grams) for the sugar content data. lower quartile grams median grams upper quartile grams interquartile range grams (b) Are there any outliers in the sugar content data? Yes, there are two outliers on the high end. Yes, there is one outlier on the low end. Yes, there are two outliers on the low end. Yes, there is one outlier on the high end. No, there are no outliers.
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.
Sugar content (in grams per serving) for 18 high-fiber cereals are shown below.
Sugar Content
12
6
18
14
0
16
9
10
19
6
10
13
10
10
0
9
4
12
(a)
Calculate the median,
lower quartile
grams
median
grams
upper quartile
grams
interquartile range
grams
(b)
Are there any outliers in the sugar content data?
Yes, there are two outliers on the high end.
Yes, there is one outlier on the low end.
Yes, there are two outliers on the low end.
Yes, there is one outlier on the high end.
No, there are no outliers.
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