The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions​ (a) through​ (e).   3737 4343     2929 3737     4848           Question content area bottom Part 1 ​(a) Compute the population​ mean, muμ. Part 2 muμequals=38.838.8 ​(Type an integer or a​ decimal.) Part 3 ​(b) Compute the mean for all 5 Upper C 2 equals 105C2=10 samples with size nequals=2. Part 4 ​(Type integers or​ decimals.) Sample Sample Mean   Sample Sample Mean 3737​,4343 enter your response here 4343​,3737 enter your response here 3737​,2929 enter your response here 4343​,4848 enter your response here 3737​,3737 enter your response here 2929​,3737 enter your response here 3737​,4848 enter your response here 2929​,4848 enter your response here 4343​,2929 enter your response here 3737​,4848 enter your response here

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 + ...