(a) Approximate the population mean and standard deviation of age for males Male and female populations of elephants under 80 years old are represented by age in the table below. Complete parts (a) through (d). H= years (Round to two decimal places as needed.) G=years (Round Females Age 0-9 10-19 20-29 Males two decimal places as needed.) 13 (b) Approximate the population mean and standard deviation of age for females. 14 u= years (Round to two decimal places as needed.) 15 20 21 21 17 30-39 16 21 40-49 50-59 o= years (Round to two decimal places as needed.) 23 60-69 19 19 (c) Which gender has the higher mean age? 70-79 14 15 v have the higher mean age. (d) Which gender has the higher dispersion in age? V have the areater disoersion.
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.
For males
So for age of males we have
mean 41.51
Standard Deviation = 21.46
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