The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people. a) Complete the table. Age Number of people 18 62 19 67 20 75 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people. a) Complete the table. Age Number of people 18 62 19 67 20 75 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people. a) Complete the table. Age Number of people 18 62 19 67 20 75 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people.
a) Complete the table.
Age
Number of people
18
62
19
67
20
75
21
(b Find the mean for this sample. Give your answer to at least 2 decimal places.
(c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
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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