Case 1

Number of College Faculty

The number of faculty listed for a sample of private colleges that offer only bachelor's degrees is listed below. Use these data to construct a frequency distribution, a histogram, a frequency polygon, and an ogive, or any other graph as per need.

156 212 281 206 138 135

224 204 70 120 207 154

155 85 210 116 98 50

176 162 225 214 93 398

221 161 128 320

Source: World Almanac and Book of Facts.

Required Tasks:

1. What questions could be answered more easily by looking at the histogram rather than the listing of number of faculty?

2. What different questions could be answered more easily by looking at the frequency polygon rather than the listing of number of faculty?

3. What different questions could be answered more easily by looking at the cumulative frequency polygon rather than the listing of number of faculty?

4. Are there any extremely large or extremely small data values compared to the other data values? (It means outlier.)

5. Which graph displays these extremes (outliers) the best?