Question 1:

The following is the number of minutes to commute from home to work for a group of automobile executives.

28	25	48	37	41	19	32	26	16	23	23	29	36
31	26	21	32	25	31	43	35	42	38	33	28	37

We would like to convert this information into a grouped frequency table.

• How many classes would you recommend?
• What class interval would you suggest?
• What would you recommend as the lower limit of the first class?
• Organize the data into a frequency distribution.
• Construct Histogram. Is the distribution symmetrical?
• Make a Frequency Polygon.
• Make a Box Plot and identify any Outliers.
• Compute Quartile Deviation.
• Find the Coefficient of Skewness and interpret the result.
• Find the Mean Deviation of the last 5 values of the second row.                                                                                              

Question 2:

The weights of containers being shipped to Ireland are (in thousands of pounds):

95

103

105

110

104

105

112

90

• What is the range of the weights?
• Compute the arithmetic mean weight.
• Find the median weight.
• Compute mean deviation of the weights.
• Find the interquartile range of weights.
• Compute quartile deviation.
• Compute variance of weights. (consider a sample data)
• Find the coefficient of variation.
• Compute the geometric mean of weights.
• Find harmonic mean of weights. Show that  AM ≥ GM ≥ HM.

Question 3:

Production of Cablos trucks increased from 23000 units in 1980 to 120520 units in 2000. Find the geometric mean annual percent increase. Also, estimate the production of trucks by the end of 2006 and 2013.