Question

The number of visitors to the historic Museum for 25 randomly selected hours is shown.

15   53   48   19   38   86   63   98   79   38   26   39   67   89   62   28   35   54   88   76

31 47   53   41   68.

Exercise 3

You may use your calculator or excel to compute:

1. The sample mean, sample variance and sample standard deviation

2. What is the Coefficient of variation?

3. What are the range of values that are within two standard deviation of the mean?

4. How many data values are within this range?

5. According to the Chebyshev’s Theorem at least what proportion of values should be within two standard deviation of the mean?

Exercise 4

Using the data above

1. Determine the 5 number summary of the data

2. What is the Interquatile range?

3. Are there any outliers for these values?

4. Base on the position of the quartiles on a Box plot would you say that this distribution is Symmetric, skew to the left or skew to the right ( You do not need to show me your box plot but you need to draw one in order to answer the question)

Answer 1