An urgent care center has two campuses, A and B. The doctors at the two campuses are comparing the wait time in minutes for customers. The amount of time was measured for each patient at both campuses. The results are provided in the table below. Campus A Campus B 99 2424 1515 1111 2121 1414 1919 1313 3030 2222 3131 55 1616 1111 2727 1717 1919 2121 77 1717 2222 2626 2828 2424 2121 1818 44 3737 3333 88 Justify the measure of center and measure of spread that could be used to compare the two data sets. The median and interquartile range could be used because the distribution for Campus A is skewed right with an outlier of 3030 minutes, and the distribution for Campus B is roughly symmetric with no outliers. The median and interquartile range could be used. Although there are no outliers, the distribution for Campus A is skewed left, and the distribution for Campus B is skewed right. The mean and standard deviation could be used. Both of the distributions are roughly symmetric, and only Campus B has an outlier of 3737 minutes. The mean and standard deviation could be used because both of the distributions are roughly symmetric, and they do not have outliers.
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.
An urgent care center has two campuses, A and B. The doctors at the two campuses are comparing the wait time in minutes for customers. The amount of time was measured for each patient at both campuses. The results are provided in the table below.
| Campus A | Campus B | ||||
|---|---|---|---|---|---|
| 99 | 2424 | 1515 | 1111 | 2121 | 1414 |
| 1919 | 1313 | 3030 | 2222 | 3131 | 55 |
| 1616 | 1111 | 2727 | 1717 | 1919 | 2121 |
| 77 | 1717 | 2222 | 2626 | 2828 | 2424 |
| 2121 | 1818 | 44 | 3737 | 3333 | 88 |
Justify the measure of center and measure of spread that could be used to compare the two data sets.
-
The median and
interquartile range could be used because the distribution for Campus A is skewed right with an outlier of 3030 minutes, and the distribution for Campus B is roughly symmetric with no outliers. -
The median and interquartile range could be used. Although there are no outliers, the distribution for Campus A is skewed left, and the distribution for Campus B is skewed right.
-
The
mean and standard deviation could be used. Both of the distributions are roughly symmetric, and only Campus B has an outlier of 3737 minutes. -
The mean and standard deviation could be used because both of the distributions are roughly symmetric, and they do not have outliers.
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