Ant Size. Use the following information for Exercises 66 and 67. A study compared the size of ants from different colonies. The masses (in milligrams) of samples of ants from two different colonies are shown in the accompanying table.4

Colony A Colony B
109 134 148 115
120 94 110 101
94 113 110 158
61 111 97 67
72 106 136 114

Question 3.180

antcolony

67. Calculate the standard deviation for each colony.

  1. Which has the greater standard deviation?
  2. Which colony has the greater variability according to the standard deviation? Does this concur with your answer from the previous exercise?
  3. Without calculating the variances, say which colony has the greater variance. How do you know this?

3.2.67

Colony A = 21.91, Colony B = 26.35 (a) Colony B (b) Colony B; yes (c) Colony B, because it has the larger standard deviation