A firm wants to better understand its staff, and in particular how many minutes individuals in two branches spend commuting to and from work each week. The firm collects data from all employees from two branches and asks them how many minutes they spent commuting last week. They present the frequency distribution of the responses below:
|
Number of Minutes
|
Branch A
|
Branch B
|
|
Less than 100
|
30
|
25
|
|
100-249
|
45
|
40
|
|
250-399
|
50
|
50
|
|
400-599
|
30
|
35
|
|
600 or more
|
20
|
15
|
Required:
1. For branch city calculate the mean and median minutes spent commuting for this week.
2. For each branch calculate the variance and standard deviation of minutes spent commuting.
3. Calculate the coefficient of skewness and coefficient of variation of minutes spent commuting. What do these statistics tell us?
4. Calculate the 10th and 90th percentile for the number of minutes spent commuting for employees from Branch A and Branch B, respectively.