Thinking it might be helpful, you ask the EvCC Institutional Researcher for data. He doesn't have the data you need, but suppose he does tell you that the population mean GPA is 2.62 with population standard deviation of 0.69 for all students who have ever attended Everett Community College. Assume that GPA's are normally distributed.
Find the z-score for a GPA of 3.04.
Correct Round to 2 decimal places.
Find the probability a student at random will have a GPA over 3.04.
Round to 4 decimal places.
92.9% of students will have a GPA lower than:
Round to 2 decimal places.
If 14 students are chosen at random, what is the probability their mean GPA will be more than 3.04?
% Round to the nearest whole percent.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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