Answered: 89 100 97 90 59 53 89 92 68 94…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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89	100	97	90	59
53	89	92	68	94
62	73	68	67	88
59	77	79	74	99
67	61	97	94	85
76	77	86	64	76
97	81	70	92	76
93	51	75	74	52
89	54	75	83	66
55	50	55	87	87
63	97	50	87	85
63	92	92	73	52
72	86	86	98	76
75	90	97	73	68
87	65	64	56	64

1. Use the above data to prepare a frequency distribution table with 6classes.

2. Find the measures of center.

3. Analyze the measures of center.

4. Prepare a box-plot, correctly identifying the 5-number summary, upper and lower fences, and outliers (if any.) Properly sketch the box-plot.

5. Find the measures of variance.

6. List all data that are found in each of the following categories: 3 standard deviations below the mean, 2 standard deviations below the mean, 1 standard deviation below the mean, 1 standard deviation above the mean, 2 standard deviations above the mean, and 3 standard deviations above the mean

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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