Calculate standard deviation Mean is provided in solution Asap A sample of 33 households from a surveygenerates the following frequency table ofhousehold income (in thousands). Find themean and standard deviation.X =Interval Frequency0-2930-5960-8990-119120-149150-179180-209thousand dollars. (Round to one decimal place as needed.)342NO-3131001 Step 1: Given dataInterval0-2930-5960-8990-119120-149150-179180-209Step 2: Finding Mean0-2930-5960-8990-119120-149150-179180-209Class Frequency (f) Mid value (x)Mean X =2068.533134Solution10201Ef=n=333X =x = 62.68181818x 62.7x14.5x=62.7 thousand dollars44.574.5104.5134.5164.562.7 thousand dollars.194.5Frequency134102013fx188.51787452090164.5583.5Σ fx = 2068. 5

Sample mean x-=62.7 thousand dollars

Answered: Calculate standard deviation Mean is…

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

Calculate standard deviation

Mean is provided in solution

Asap

A sample of 33 households from a survey
generates the following frequency table of
household income (in thousands). Find the
mean and standard deviation.
X =
Interval Frequency
0-29
30-59
60-89
90-119
120-149
150-179
180-209
thousand dollars. (Round to one decimal place as needed.)
342NO-3
13
10
0
1

Step 1: Given data
Interval
0-29
30-59
60-89
90-119
120-149
150-179
180-209
Step 2: Finding Mean
0-29
30-59
60-89
90-119
120-149
150-179
180-209
Class Frequency (f) Mid value (x)
Mean X =
2068.5
33
13
4
Solution
10
2
0
1
Ef=n=33
3
X =
x = 62.68181818
x 62.7
x
14.5
x=62.7 thousand dollars
44.5
74.5
104.5
134.5
164.5
62.7 thousand dollars.
194.5
Frequency
13
4
10
2
0
1
3
fx
188.5
178
745
209
0
164.5
583.5
Σ fx = 2068. 5

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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