Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any outliers, and are they likely to have much of an effect on the measures of variation? 40 50 50 55 65 85 90 135 180 215 250 375 450 1500 2750 The range of the sample data is nothing ▼ marriages squared .marriages2. stadiums squared .stadiums2. dollars squared .dollars2. marriages.marriages. dollars.dollars. stadiums.stadiums. (Type an integer or a decimal. Do not round.) The standard deviation of the sample data is nothing ▼ dollars.dollars. marriages.marriages. dollars squared .dollars2. stadiums.stadiums. marriages squared .marriages2. stadiums squared .stadiums2. (Round to one decimal place as needed.) The variance of the sample data is nothing ▼ marriages squared .marriages2. stadiums squared .stadiums2. marriages.marriages. dollars.dollars. dollars squared .dollars2. stadiums.stadiums. (Round to one decimal place as needed.) Are there any outliers and, if so, are they likely to have much of an effect on the measures ofvariation? A. Yes, the largest amounts are much higher than the rest of the data, and appear to be outliers. It is not likely that these are having a large effect on the measures of variation. B. Yes, the smallest amounts are much lower than the rest of the data, and appear to be outliers. It is not likely that these are having a large effect on the measures of variation. C. Yes, the largest amounts are much higher than the rest of the data, and appear to be outliers. It is likely that these are having a large effect on the measures of variation. D. No, there are not any 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.
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