HW#1 1. Please calculate the mean, median, mode, variance and standard deviation for the following dataset. SHOW ALL WORK!

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HW#1





1. Please calculate the mean, median, mode, variance and standard deviation for the following dataset. SHOW ALL WORK!



X: 3,2,4,3,1,5,0,2,4,6,2,1,0,2,3



2.



3. The average time (in minutes) it takes a sample of students to get to school in the morning are listed below. Round to the hundredths place.



30, 30, 55, 45, 60, 12, 9, 21, 24, 26, 41, 34, 37, 35, 39, 51, 4



a.
Find the mean and standard deviation.




b.
Calculate the z-score for the data value 30.




4. Find the z-score for x = 51 if

= 45 , and

= 2.5. What does the z-score tell you? Show all work!







5. If the Mean of a data set is 84 and the standard deviation is 5.4. what values would be considered outliers?


Imagine a classroom population of 30 students. On a survey, 5 of them admit to being addicted to television. 10 of them admit to being addicted to the Internet. And as it turns out, 2 of the 30 are addicted to both. Consider the probability of TV addiction to be

P
(A), and the probability of internet addiction to be
P(B). Answer the following as percentage scores, and show clearly how you derived each answer:


(a) What is the probability that a student is addicted to television?




(b) What is the probability that a student is addicted to the Internet?




(c) What is the probability that a student is addicted to
both television
and
the Internet?





(d) What is the probability that a student is addicted to
either television
or
the Internet?





(e) What is the probability that a television addict is also addicted to the Internet?



SPSS


For the second part of this homework, I want you to create a dataset with the following variables… Please give each variable the exact name as listed below as well as the proper description for each.




Age – Age of respondent in years


“Height” – Height of respondent in inches


“Weight” – Weight of respondent in lbs


“GPA” – GPA of respondent on a 4-point scale


“TVHours” – Number of hours of tv watched by respondent in an average week


“VGhr” – Number of hours of video game playing by respondent in an average week




Each of these variables should be a numeric variable. There should be 20 cases in this dataset with complete data for all cases. Please make up “realistic” values for each of the cases on each variable (everybody should have different numbers).



Answered Same DayFeb 13, 2021

Answer To: HW#1 1. Please calculate the mean, median, mode, variance and standard deviation for the following...

Sourav answered on Feb 14 2021
145 Votes
HW#1
1. To calculate Mean, Median, Mode, Variance and Standard Deviation for the following Dataset.

X: 3,2,4,3,1,5,0,2,4,6,2,1,0,2,3
    Mean =
    2.533333
    Median =
    2
    Mode =
    2
    Variance =
    2.782222
    S.D =
    1.667999
2. a) Mean and standard deviation of dataset are
Mean = 32.52
Standard deviation = 15.23
b) z score for data value 30 is given by
z = = = -0.68
3. Z-score for x = 51 if X´ = 45, and σ = 2.5 is
z = = 2.4
A z-score (also called a standard score) is simply tells you about how far from the mean a data point is. Or we can say that z score tells you how many standard deviations from the mean...
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