The following data give the heights in centimeters of a group of people. Height in centimeters 152 171 178 | 157 || 171 | 149 | 158 | 166 | 150 144 167 152 | 175 | 153 | 182 | 162 152 165 167 | 166|| 154 | 170 | 154 | 162 | 190 | 166 | 156 180 153 166 | 157 | 184 || 161 | 161 | 159 152 (a) Construct a stem-and-leaf graph for the given data. (b) Draw a table with the relative frequencies and cumulative freque..cies (in percentages) for all class intervals. (c) Construct a histogram for the given data, showing relative frequencies as percentages on the y (vertical) axis.
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.
Step by step
Solved in 5 steps with 3 images
