The following data represents the GPA of a sample of 15 students enrolled in a history class. 3.4, 3.9, 4.0, 2.8, 3.5, 2.6, 3.2, 3.6, 1.9, 2.1, 2.0, 3.3, 2.4, 1.8, 3.2 (a) Find the first quartile. Do not include the median in the calculations. Answer: (b) Find the third quartile. Do not include the median in the calculations. Answer: (c) Find the mean.(Round to 2 decimal places.) Answer: (d) Find the median. Answer: (e) Find the mode. Answer: (f) Find the range. Answer: (g) Find the interquartile range (IQR). Answer: (h) How many outliers are there in this data set? Answer:
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.
The following data represents the GPA of a sample of 15 students enrolled in a history class.
3.4, 3.9, 4.0, 2.8, 3.5, 2.6, 3.2, 3.6, 1.9, 2.1, 2.0, 3.3, 2.4, 1.8, 3.2
(a) Find the first
Answer:
(b) Find the third quartile. Do not include the median in the calculations.
Answer:
(c) Find the mean.(Round to 2 decimal places.)
Answer:
(d) Find the median.
Answer:
(e) Find the
Answer:
(f) Find the
Answer:
(g) Find the
Answer:
(h) How many outliers are there in this data set?
Answer:
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