Approximate the population mean and standard deviation of age for females. Male and female populations ofhumpback whales under 80 years old arerepresented by age in the table below.Complete parts (a) through (d).(a) Approximate the population mean and standard deviation of age formales.u= 41.82 years(Round to two decimal places as needed.)AgeMalesFemales6= 21.35 years0-913(Round to two decimal places as needed.)10-19157(b) Approximate the population mean and standard deviation of age for20-291513females.30-39192040-4925u= years2150-592524(Round to two decimal places as needed.)60-6970-7919161514

Male and female populations of humpback whales under 80 years old are represented by age in the table below. Complete parts (a) through (d). (a) Approximate the population mean and standard deviation of age for males. H= 41.82 years (Round to two decimal places as needed.) Females Age 0-9 Males o = 21.35 years 13 7 (Round to two decimal places as needed.) 10-19 15 20-29 (b) Approximate the population mean and standard deviation of age for females. 15 13 30-39 19 20 40-49 21 25 u= years 50-59 25 24 (Round to two decimal places as needed.) 60-69 19 16 70-79 15 14

Male and female populations of humpback whales under 80 years old are represented by age in the table below. Complete parts (a) through (d). (a) Approximate the population mean and standard deviation of age for males. H= 41.82 years (Round to two decimal places as needed.) Females Age 0-9 Males o = 21.35 years 13 7 (Round to two decimal places as needed.) 10-19 15 20-29 (b) Approximate the population mean and standard deviation of age for females. 15 13 30-39 19 20 40-49 21 25 u= years 50-59 25 24 (Round to two decimal places as needed.) 60-69 19 16 70-79 15 14

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

Approximate the population mean and standard deviation of age for females.

Male and female populations of
humpback whales under 80 years old are
represented by age in the table below.
Complete parts (a) through (d).
(a) Approximate the population mean and standard deviation of age for
males.
u= 41.82 years
(Round to two decimal places as needed.)
Age
Males
Females
6= 21.35 years
0-9
13
(Round to two decimal places as needed.)
10-19
15
7
(b) Approximate the population mean and standard deviation of age for
20-29
15
13
females.
30-39
19
20
40-49
25
u= years
21
50-59
25
24
(Round to two decimal places as needed.)
60-69
70-79
19
16
15
14

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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