ou are given pulse rates for two sample distributions. Describe the data in terms of central tendency and variability. Sample A Pulse rates (beats per minute) 66 75 72 69 78 73 82 79 84 72 Sample B Pulse rates (beats per minute) 65 68 66 72 88 81 94 71 88 91 Calculate the mean, median, and mode for each data set. Calculate the sample standard deviation and range of each data set. Which might be the better measure for central tendency and why? When answering this question, think about which measure will give you the best representative score of the data. What is the standard deviation
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.
You are given pulse rates for two sample distributions. Describe the data in terms of
Sample A Pulse rates (beats per minute) 66 75 72 69 78 73 82 79 84 72
Sample B Pulse rates (beats per minute) 65 68 66 72 88 81 94 71 88 91
Calculate the mean, median, and
Calculate the sample standard deviation and
- Which might be the better measure for central tendency and why? When answering this question, think about which measure will give you the best representative score of the data.
- What is the standard deviation of Sample A and Sample B?
- How variable are the data? When answering this question, compare the range of Sample A and Sample B.
- Suppose you know your pulse-rate is 74 beats per minute. Would this seem to be slower or faster than the two samples? Explain your reasoning
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