Answered: (c) Construct a double-stem-and-leaf…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The accompanying table contains historical data on staff salaries (in dollars per pupil) for 30 schools sampled in part of a country in the early 1970s. I need help with this part attached.

3.86 2.80 2.71 2.95 3.08 1.80
2.60 3.32 2.52 2.12 2.58 2.68
2.76 2.85 3.67 3.84 3.43 2.12
2.94 2.83 3.04 2.43 2.18 3.69
3.21 3.67 2.39 2.61 3.42 3.45

The sample mean is 2.9183

The sample standard deviation is 0.5495

(c) Construct a double-stem-and-leaf display of the data. Use the stems 1, 2 * , 2, 3*, and 3• such that the
stems coded by the symbols * and are associated, respectively, with leaves 00 through 49 and 50 through 99.
Make sure to include any trailing zeros.
.
Stem
Leaf
Frequency
2*
2°
3*
3•
(Use a comma to separate answers as needed.)

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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