The times (in seconds) between fifteen consecutive eruptions of a geyser were as follows: 884, 918, 946, 858, 874, 879, 917, 888, 878, 865, 944, 862, 945, 913, 904 By entering the data into R, or otherwise, find the following: Part a) The sample mean is (sec). Part b) The sample variance is |(sec?). Part c) The sample median is (sec).
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.
![The times (in seconds) between fifteen consecutive eruptions of a geyser were as follows:
884, 918, 946, 858, 874, 879, 917, 888, 878, 865, 944, 862, 945, 913, 904
By entering the data into R, or otherwise, find the following:
Part a) The sample mean is
(sec).
Part b) The sample variance is
(sec?).
Part c) The sample median is
(sec).
Part d) The sample IQR is
(sec).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F659bdb8f-e92a-448f-a67f-3e69ba1716b2%2F63893a3b-6bbe-40ce-a452-d52d835018a9%2F165sez_processed.jpeg&w=3840&q=75)
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