In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115. Calculate the z-score for an SAT score of 720. What math SAT score is 1.5 standard deviations above the mean? For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)
In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115. Calculate the z-score for an SAT score of 720. What math SAT score is 1.5 standard deviations above the mean? For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)
In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115. Calculate the z-score for an SAT score of 720. What math SAT score is 1.5 standard deviations above the mean? For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)
In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with meanµ = 520 and standard deviation σ = 115.
Calculate the z-score for an SAT score of 720.
What math SAT score is 1.5 standard deviations above the mean?
For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)
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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