Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are foot lengths in inches of randomly selected women in a study of a country's military in 1988. Are the statistics representative of the current population of all women in that country's military? 9.4 9.1 9.7 9.1 8.8 10.4 9.5 9.2 9.9 9.7 9.7 O O A. The mode(s) is(are) 9.7 inch(es). (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode. d. Find the midrange. The midrange is inch(es). (Type an integer or a decimal. Do not round.) e. Are the statistics representative of the current population of all women in that country's military? Choose the best answer below. O A. Since the measurements were made in 1988, they are not necessarily representative of the current population of all women in the country's military. O B. Since the sample does not include men, the sample should not be considered to be representative of the population. OC. Since the sample is not a random sample, it should not be considered to be representative of the population. O D. Since the sample is random and the sample size is greater than 10, the sample can be considered to be representative of the population.
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.
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