1.Consumer Reports Health (www.consumer reports.org/health) reported the sodium content (mg) per 2 tablespoon serving for each of 11 different peanut butters: 120 50 140 120 150 150 150 65 170 250 110 a. Display these data using a dotplot. Comment on any unusual features of the plot. b. Compute the mean and median sodium content for the peanut butters in this sample. c. The values of the mean and the median for this data set are similar. What aspect of the distribution of sodium content—as pictured in the dotplot from Part (a)—provides an explanation for why the values of the mean and median are similar?
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.
1.Consumer Reports Health (www.consumer reports.org/health) reported the sodium content (mg) per 2 tablespoon serving for each of 11 different peanut butters:
120 50 140 120 150 150 150 65 170 250 110
- a. Display these data using a dotplot. Comment on any unusual features of the plot.
- b. Compute the
mean andmedian sodium content for the peanut butters in this sample. - c. The values of the mean and the median for this data set are similar. What aspect of the distribution of sodium content—as pictured in the dotplot from Part (a)—provides an explanation for why the values of the mean and median are similar?
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