The following are the distance (in km's) that students travelled during the spring break to elther their home or a destination vacation:
841
820
910
885
945
905
875
Required:
a. Calculate the mean.
b. Calculate the variance.
C. What is the standard deviation?
d. What is the median?
e. Calculate the location and value of Q1,
f. Calculate the location and the value of Qa,
g. Draw a Box Plot for this data.
h. Would a student traveling 610 kilometers be an outlier? Show all of your work including
the range that would disqualify any values as an outlier.
QUESTION 2
The weekly overtime hours worked by all the employees at the CHAPTER store during inventory season are:
22 14 11 32 16 25
Required:
a. Is this a population or a sample? Circle the correct answer.
b. Calculate the range.
C. Calculate the mean,
d. Calculate the median.
e. Calculate the mode.
f.
Calculate the variance.
- What is the standard deviation?
h. Calculate the co-efficient of skewness. Comment on the shape and sketch it.
QUESTION 4
A study of the salaries of the faculty in Ontario colleges revealed that the mean annual salary is $62,000 and the standard deviation of the sample is $3,000. The study also showed that the faculty had been employed a mean of 15 years with a standard deviation of 4 years. How does the relative dispersion of the salaries compare with that of the lengths of service?
QUESTION 5
The mean running time of a 5 km race 31.25 minutes. The standard deviation is 6 minutes. If the tlmes are normally distributed, between what two times do 95% of the observations lie? What is this rule called? Outline the entire rule with all details specifically stated.