MATH 2003: Statistics Project According to an article in June 2009, the number o

Question

MATH 2003: Statistics Project According to an article in June 2009, the number of hours that a teenager watches television is 103 hours a month. That is approximately 3 hours and 26 minutes a day that a teenager watches television. The amount of time spent watching traditional TV increases with age. Accordingly, senior citizens 65 and older spend about 207 hours a month watching television. The study in the article was limited to television only and not to any other media such as online streaming, internet, mobile, etc. A simple random sample of 40 teenagers, ages 12 to 17 is selected. The teenagers were asked to report how many hours of television they watch per day and how often they streamed television (never, rarely, sometimes, always) INSTRUCTIONS: Based on the data below, find the mean, standard deviation, S number summary and give any graphical representation (bar, line, scatter, boxplot, stem-and-leaf) of the number of hours that a teenager will watch TV. State any statistical inferences that can be made based on the data Lastly, include the percentage breakdown of how often a teenager streams television How often do How often do you stream Number Number you stream of Hours television?of Hours television? Always Alwa Alwa Sometimes 5.5 Always Sometimes 1.5 1.5 Alwa Alwa Never Sometimes Sometimes 2.5 2.5 6.5 Al Sometimes 7.5 7.5 Sometimes 3.5 4.5 Sometimes

Explanation / Answer

From above data we have to create frequency distribution table as follows :

1

We can find mean , standard deviation , quartiles in TI84 .

First we have to plug given data in L1 and L2 , x values in L1 and frequencies in L2 .

Then click on STAT -- > Scroll to the right and select CALC -- > Scroll down and select 1-Var Stats and hit ENTER

Then plug List : L1

Frequency :L2

Select calculate and hit ENTER .

It gives output as :

mean = 4.5875 ,     standard deviation = 2.407 .

min = 1 , Q1 = 2.5, Q2 = median = 4.75 , Q3 = 6.75 , max = 9

From that we can plot box plot as :

x f(x) 1 4 1.5 2 2 3 2.5 2 3 4 3.5 1 4 3 4.5 1 5 3 5.5 2 6 4 6.5 1 7 3 7.5 2 8 4 9

1

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