Answered: 4. What is the average of the 8 sample…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3BGP

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Sample #	Sample_Size (N)	Min_ WKWEHR_C	Max_ WKWEHR_C	Mean_ WKWEHR_C	SD_ WKWEHR_C
1	66	2	75	39.01	14.58
2	57	2	75	39.04	15.79
3	67	12	75	41.37	12.82
4	75	4	75	40.20	13.99
5	67	6	75	42.75	15.50
6	72	2	75	38.93	14.30
7	70	2	75	37.50	14.38
8	61	3	75	39.13	13.25
Range
Mean

4. What is the average of the 8 sample Mean_ WKWEHR_C? Looking at the range and the mean, comment on how much variability there is between the sample means. Is it more or less than you expected?

5. What is the range for the 8 sample standard deviations for work hours (SD_ WKWEHR_C)? What is the mean for the 8 sample standard deviations for work hours? Looking at the range and the mean for this variable, comment on the amount of variability between samples.

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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