Sara and Mark are students at IBS graduated from different majors as follow: -          Sara has graduated with a Finance diploma with an average of 68, where the averages of the finance students are normally distributed with a variance of 36 and a mean of 60. -          Mark has graduated with a Marketing diploma with an average of 72, where the averages of the marketing students are normally distributed with a variance of 49and a mean of 64.   Questions (support your answer by drawing some figures): a-      Without making any calculation, can you tell which student is better: Mark or Sara? Explain your answer. b-      What method can you use to compare the academic performance of Sara and Mark? And who is the better student according to this method

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 + ...