The following is a random sample of ages summarized as a stem-and-leaf plot. (Note for some browsers the plot may not view correctly, make sure you are seeing 4 rows of data.)1 1467 211467789 355689 4011 Round answers accurate to 4 decimal places.a. What is the mean age? Mean = yearsb. What is the median age? Median = yearsc. What is the standard deviation of ages? Standard Deviation = yearsd. What is the variance of ages? Variance = years2

The objective of the question is to calculate the mean, median, standard deviation, and variance of…

Answered: The following is a random sample of…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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The following is a random sample of ages summarized as a stem-and-leaf plot. (Note for some browsers the plot may not view correctly, make sure you are seeing 4 rows of data.)

1	1	4	6	7
2	1	1	4	6	7	7	8	9
3	5	5	6	8	9
4	0	1	1

Round answers accurate to 4 decimal places.

a. What is the mean age?
Mean = years

b. What is the median age?
Median = years

c. What is the standard deviation of ages?
Standard Deviation = years

d. What is the variance of ages?
Variance = years²

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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