Question 3a) The following stem-and leaf display of the dividend yields ($) for common stocksStem-and-Leaf DisplayN = x Leaf Unit = 1.05 2 3344411 2 668899(14) 3 00112223344444y 3 5677889912 4 00023445 4 66789 b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) forb) The table below is based on the Stem and leaf diagrams showing dividend yields ($) forcommon stocks.Dividend Yielded ($)Frequency20-24525-29630-341435-39x40-44745-495 Use the stem and leaf diagram in 3a) to determine the value of x.Using the table above to calculatea) the sample mean of the dataset.b) the mode of the dataset.c) the sample variance of the dataset.

Name: Question 3a) The following stem-and leaf display of the dividend yield
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Description: Question 3a) The following stem-and leaf display of the dividend yields ($) for common stocksStem-and-Leaf DisplayN = x Leaf Unit = 1.05 2 3344411 2 668899(14) 3 00112223344444y 3 5677889912 4 00023445 4 66789 b) The table below is based on the Stem

Part 1: From the given stem and leaf plot we have, N = total observations = 45 And x = 8.

Answered: Question 3 a) The following stem-and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 81E

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Question 3

a) The following stem-and leaf display of the dividend yields ($) for common stocks

Stem-and-Leaf Display

N = x Leaf Unit = 1.0

5 2 33444

11 2 668899

(14) 3 00112223344444

y 3 56778899

12 4 0002344

5 4 66789

b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) for

b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) for

common stocks.

Dividend Yielded ($)	Frequency
20-24	5
25-29	6
30-34	14
35-39	x
40-44	7
45-49	5

Use the stem and leaf diagram in 3a) to determine the value of x.
Using the table above to calculate
a) the sample mean of the dataset.
b) the mode of the dataset.
c) the sample variance of the dataset.

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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