Answered: A study of smartphone users shows that…

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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A study of smartphone users shows that 68%68% of smartphone use occurs at home and a user spends an average of 410410 minutes per month using a smartphone to interact with other people (Harvard Business Review, January–February 2013). Consider the following data indicating the number of minutes in a month spent interacting with others via a smartphone for a sample of 50 smartphone users.

What is the mean number of minutes spent interacting with others for this sample? How does it compare to the mean reported in the study?
What is the standard deviation for this sample?
Are there any outliers in this sample?

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7. (6 points) A study of smartphone users shows that 68% of smartphone use occurs at home and a user spends an average of 410 minutes
per month using a smartphone to interact with other people (Harvard Business Review, January-February 2013). Consider the following
data indicating the number of minutes in a month spent interacting with others via a smartphone for a sample of 50 smartphone users.
353
458
404
394
416
437
430
369
448
430
431
469
446
387
445
354
468
422
402
360
444
424
441
357
435
461
407
470
413
351
464
374
417
460
352
445
387
468
368
430
384
367
436
390
464
405
372
401
388
367
a. What is the mean number of minutes spent interacting with others for this sample? How does it compare to the mean reported in the
study?
b. What is the standard deviation for this sample?
c. Are there any outliers in this sample?
Part B
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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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