a. Find the lower quartile. b. Find the median. c. Find the upper quartile.
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.
The following are the heights (in cm) of the 25 students in a statistics class (data has
been sorted for your convenience):
134 148 156 165 172
137 151 157 168 173
140 152 162 168 174
145 154 163 169 174
146 156 164 171 177
a. Find the lower
b. Find the
c. Find the upper quartile.
d. Find the 60th percentile.
e. Compute the
f. Compute the
g. Construct a box plot and identify any outliers.
h. What can you say about the skewness?
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