group of 894 women aged 70- 79 had their height and weight measured. The mean height was 159 cm with a standard deviation of 5 cm and the mean weight was 65.9 kg with a standard deviation of 12.7 kg. Both sets of data are fairly normalum a. Suppose you were asked for a range of typical heights and weights for this population of women. What values would you give? Explain. Which of the two measurements appears more variable? Explain.
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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A group of 894 women aged 70-79 had their height and weight measured. The mean height
was 159 cm with a standard deviation of 5 cm and the mean weight was 65.9 kg with a standard
deviation of 12.7 kg. Both sets of data are fairly normal.
a. Suppose you were asked for a range of typical heights and weights for this population of
women. What values would you give? Explain.
b. Which of the two measurements appears more variable? Explain."
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