Dopamine is a chemical that plays a role in the trans- mission of signals in the brain. A pharmacologist measured the amount of dopamine in the brain of each of seven rats. The dopamine levels (nmoles/g) were as follows:41 6.8 5.3 6.0 5.9 6.8 7.4 6.2 (a) Calculate the mean and SD. (b) Determine the median and the interquartile range. (c) Replace the observation 7.4 by 10.4 and repeat parts (a) and (b). Which of the descriptive measures display robustness and which do not?
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.
Dopamine is a chemical that plays a role in the trans-
mission of signals in the brain. A pharmacologist measured
the amount of dopamine in the brain of each of seven rats.
The dopamine levels (nmoles/g) were as follows:41
6.8 5.3 6.0 5.9 6.8 7.4 6.2
(a) Calculate the
(b) Determine the
(c) Replace the observation 7.4 by 10.4 and repeat parts
(a) and (b). Which of the descriptive measures display
robustness and which do not?
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