A sociologist interested in youth culture is conducting a study on Twitter. To determine how many times students log in to their accounts, she obtains a sample of 10 students. Students are asked how many times they log in to their account per month. The responses are shown below. (4 marks)
Student
Number Number
of Uses
1 140
2 174
3 122
4 250
5 145
6 120
7 180
8 212
9 142
10 125
a. According to the sample the sociologist collected, how many times on average did a student access his/her Twitter account each month?
b. Calculate and interpret the inter-quartile range.
c. Calculate and interpret the 80th percentiles.
d. Calculate the z-scores and state whether or not there are any outliers in this data set. Explain