Answered: We are curious about the average number…

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

We are curious about the average number of Facebook friends that college students have. We take a simple random sample of 40 students and record the number of Facebook friends each student has.

1. The output contains a table with a lot of information. From the table, what is our sample size? What is the max value we observed? What is the minimum? What is our sample mean and sample standard deviation?

2. This table also gives you a 95% confidence interval (immediately below the mean). What is the interval? Give an interpretation of this interval.

Descriptives
Statistic
Std. Error
FBfriends
Mean
358.40
28.745
95% Confidence Interval for Lower Bound
300.26
Mean
Upper Bound
416.54
5% Trimmed Mean
358.64
Median
368.50
Variance
33049.887
Std. Deviation
181.796
Minimum
23
Maximum
728
Range
705
Interquartile Range
274
Skewness
-.053
.374
Kurtosis
-.841
.733

Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
FBfriends
40
100.0%
0.0%
40
100.0%

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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