Briefly explain the difference between the concepts of mean and median and the advantages and disadvantages of both measures.Which variable has a larger standard deviation? Discuss what this statistic measures and what it tells you about this variable.If someone’s score is 1 standard deviation above the mean for study hours (+1 Z score), how many hours do they study?If a friend is 1 standard deviation below the mean for work hours (-1 Z score), how many hours do they work? 4. Looking at the variables Studyhrs and Workhrs:StatisticsAverage # ofAverage # ofhours studiedhours workedNValid7573Missing2Mean14.91312.486Median15.00012.000Mode15.0.0Std. Deviation8.886811.4782Minimum1.5.0Maximum40.048.0a. Report the mean and median for both variablesStudyhrsWorkhrsMean14.91312.486Median1512

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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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Briefly explain the difference between the concepts of mean and median and the advantages and disadvantages of both measures.
Which variable has a larger standard deviation? Discuss what this statistic measures and what it tells you about this variable.
If someone’s score is 1 standard deviation above the mean for study hours (+1 Z score), how many hours do they study?
If a friend is 1 standard deviation below the mean for work hours (-1 Z score), how many hours do they work?

4. Looking at the variables Studyhrs and Workhrs:
Statistics
Average # of
Average # of
hours studied
hours worked
N
Valid
75
73
Missing
2
Mean
14.913
12.486
Median
15.000
12.000
Mode
15.0
.0
Std. Deviation
8.8868
11.4782
Minimum
1.5
.0
Maximum
40.0
48.0
a. Report the mean and median for both variables
Studyhrs
Workhrs
Mean
14.913
12.486
Median
15
12

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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