2. The boxplot below represents data collected on some variable of interest. The mean of this data set is 51. The vertical line represents some value which we will call "X". In the table below there are ten numbers, ordered from smallest to largest. For parts a. through f., write down the number that matches the appropriate value from the table. No number will be used more than once, and four numbers will not be used at all. X 40 45 50 55 60 - 5.9 - 0.63 0.69 5.1 17.8 20.5 48.5 51.9 53.6 56.3 a. Q1 (25th percentile) = b. Median = c. Range = d. Q3 (75th percentile) = e. IQR = f. Proportion of data larger than X =
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.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 1 images
