Question

Time (hours) spent on social media per day

2 5 4 6 3 2 4 1 0 1 3 2 5 4 2 6 3 7 4 3 5 2 4 1 3 4 2 4 3 5 3 6 3 2 4

1. For the above data set, give the minimum and maximum score and calculate the range.

2. Calculate the standard deviation (show your work).

3. Choosing the appropriate format, draw a bar chart or histogram of the scores. Does the data appear to be normally distributed? From this picture, give what you think the category of skew and kurtosis is, and why.

4. Regardless of your answer to 3 above, assume a normal distribution and compute the z score of 5. Based on the z score, what percentage of people spent 5 or fewer hours on social media? Be sure to draw the appropriate picture!

5. Assuming a normal distribution, compute the z score for a score of 3. Based on the z score, what percentage of the people spent 3 or more hours on social media? Be sure to draw the appropriate picture!

6. Based on z score calculations, what percentage of people spent between 4 and 6 hours on social media?   Be sure to draw the appropriate picture!

7. Based on the z score, how much time did a person at the 61^st percentile spend on social media? Be sure to draw the appropriate picture!

Answer 1

1. minimum score= 0

maximum score =7

range= {0,7}

2.

here N= 35

mean or m is:

m= sum/35

sum =118

m= 3.37142857

thus

standard deviation=

1.605094

3.

4. x=5

thus z=

1.014627

5. for x=3

z=

-0.23141