A group of 80 students took a statistics Exam in the following scores were recorded68 84 75 82 68 90 62 88 76 93 73 79 88 73 58 93 71 59 58 51 61 65 75 87 74 62 95 78 63 72 66 96 79 65 74 77 95 85 78 86 71 78 78 62 80 67 69 83 76 62 71 75 82 89 67 58 73 74 73 65 81 76 72 75 92 97 57 63 68 83 81 82 53 85 94 52 78 88 77 71   Calculate mean exam score

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 + ...