39 students were asked their political orientation and to estimate the number of people making up the US Congress. 16 students identified themselves as conservative, 16 as moderate and 7 as liberal. The following 16 data values represent the estimates of the size of the US Congress for the 16 conservative students. 68 100 162 180 210 230 250 250 260 300 330 440 480 535 535 656 Q1 = 195 and Q3 = 460. 1. For determining outliers, we create an interval to check if all our data is in that interval. What would be the lower endpoint of this interval? ["", "", "", "", ""] AC 0 -125.5 25 68 -202.5 2. For determining outliers, we create an interval to check if all our data is in that interval. What would be the upper endpoint of this interval? ["", "", "", "", ""] AC 857.5 750.5 656 1000 700 3. Finally, what would be our conclusion regarding if there exist any outliers in this data? AC 68 is the only outlier as it isnt in the interval 656 is the only outlier as it isn't in the interval no outliers both 68 and 656 are outlier as they arent in the interval
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.
39 students were asked their political orientation and to estimate the number of people making up the US Congress. 16 students identified themselves as conservative, 16 as moderate and 7 as liberal. The following 16 data values represent the estimates of the size of the US Congress for the 16 conservative students.
68 | 100 | 162 | 180 | 210 | 230 | 250 | 250 |
260 | 300 | 330 | 440 | 480 | 535 | 535 | 656 |
Q1 = 195 and Q3 = 460.
1. For determining outliers, we create an interval to check if all our data is in that interval. What would be the lower endpoint of this interval? ["", "", "", "", ""] AC 0 -125.5 25 68 -202.5
2. For determining outliers, we create an interval to check if all our data is in that interval. What would be the upper endpoint of this interval? ["", "", "", "", ""] AC 857.5 750.5 656 1000 700
3. Finally, what would be our conclusion regarding if there exist any outliers in this data? AC 68 is the only outlier as it isnt in the interval
656 is the only outlier as it isn't in the interval
no outliers
both 68 and 656 are outlier as they arent in the interval
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