1A) The five number summary of a dataset was found to be:

45, 48, 53, 60, 66

An observation is considered an outlier if it is below: ________________

An observation is considered an outlier if it is above: ________________

2A) 65 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

# of Pairs of Shoes	4	5	6	7	8	9	10	11	12	13	14	15
Frequency	8	8	2	9	3	1	7	3	5	7	6	6

Round all your answers to 4 decimal places where possible. The mean is: The median is:

The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents have at least 10 pairs of Shoes? % 25% of all respondents have fewer than how many pairs of Shoes?

3A) Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set.

22

36

39

42

48

55

55

63

72

93

range = ____________ (Please enter an exact answer.)

standard deviation (ss) = _____________ (Please show your answer to one decimal place.) IQR = ____________ (Please enter an exact answer.) A new number, 105, is added to the data set above. Please find the new range, sample standard deviation and IQR of the new data set. range = _____________ (Please enter an exact answer.)

standard deviation = ______________ (Please show your answer to one decimal place.) IQR = ________________ (Please enter an exact answer.) Which measure of spread is less affected by the addition of the extreme observation?

• Range
• IQR
• standard deviation