A researcher runs a program 20 times and measures the time (in seconds) it takes for the program to run. The data he collects is listed below. 22.3 22.8 23.1 23.3 23.3 23.6 24.0 24.1 24.3 24.6 24.7 24.8 25.2 25.4 25.6 25.9 25.9 26.2 26.3 26.9 (a.) Find the mean, median, and 10%-trimmed mean (b.) Find the upper and lower quartiles. (c.) Find the range, sample variance, sample standard deviation, and interquartilerange. (d.) Determine if there are any outliers. How do you know?
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.
A researcher runs a program 20 times and measures the time (in seconds) it takes for the program to run. The data he collects is listed below.
22.3 | 22.8 | 23.1 | 23.3 | 23.3 | 23.6 | 24.0 | 24.1 | 24.3 | 24.6 |
24.7 | 24.8 | 25.2 | 25.4 | 25.6 | 25.9 | 25.9 | 26.2 | 26.3 | 26.9 |
(a.) Find the mean, median, and 10%-trimmed mean
(b.) Find the upper and lower
(c.) Find the
(d.) Determine if there are any outliers. How do you know?
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